Response Surface Methodology, Artificial Neural Network and Adaptive Neuro-Fuzzy Inference System for Oyster Mushroom Drying Kinetics

Kaushik Hazarika*,  Abhijit Borah, Rejaul Hoque Bepary, Tabaruk Hussain and Saurajyoti Baishya

Department of Agricultural Engineering, Assam Agricultural University, Jorhat, Assam, India.

Corresponding Author Email: kaushik.hazarika11@gmail.com

Article Publishing History

Received: 27 Aug 2026
Accepted: 30 Sep 2026
Published Online: 07 Oct 2026

Review Details

Plagiarism Check: Yes
Reviewed by: Dr. Mustafa Ahmed Jalal
Second Review by: Dr. Rohitash Kumar
Final Approval by: Dr. José Luis da Silva Nunes

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Abstract:

The mushroom drying experiments were carried out in a tray dryer at temperatures ranging from 50 to 70 °C with drying times from 6 to 10 hours, and sample thicknesses from 5 to 20 mm. The data obtained from the drying experiments were used to fit drying models and to train ANN and ANFIS for moisture content of the sample. A response surface methodology analysis was carried out to integrate experimental data with regression-based models. The drying rate increased significantly (p<0.05) with increasing temperature and decreased with decreasing sample thickness, which indicated a typical falling-rate drying behaviour. RSM provided significant regression fits (R2=0.9067), whereas ANN (3-10-1 architecture) and ANFIS models showed superior predicted accuracy with overall R2 values of 0.9966 and 0.9953, respectively. Among the three models, ANN exhibited the best performance with the lowest mean square error, followed closely by ANFIS, while RSM was less accurate in capturing the nonlinear drying behaviour. These findings enable accurate prediction of nonlinear mushroom drying kinetics, providing for future process monitoring and optimisation strategies.

Keywords:

ANN; ANFIS; Drying; Oyster Mushroom; RSM

Copy the following to cite this article:

Hazarika K, Borah A, Bepary R. H, Hussain T, Baishya S. Response Surface Methodology, Artificial Neural Network and Adaptive Neuro-Fuzzy Inference System for Oyster Mushroom Drying Kinetics. Curr Agri Res 2026; 14(3)..

Copy the following to cite this URL:

Hazarika K, Borah A, Bepary R. H, Hussain T, Baishya S. Response Surface Methodology, Artificial Neural Network and Adaptive Neuro-Fuzzy Inference System for Oyster Mushroom Drying Kinetics. Curr Agri Res 2026; 14(3). Available from: https://bit.ly/4yBBWrc


Introduction

Mushrooms are increasingly recognised as functional foods due to their nutritional and health-promoting properties. Among them, oyster mushrooms (Pleurotus ostreatus) are widely consumed for their valuable protein, vitamins, and minerals, vital amino acids, combined with low fat and calorie content.1,2 Their cultivation on low-cost agricultural residues further enhances their relevance as a sustainable crop that contributes to both food and environmental security.2,3 This combination of nutritional value and ecological benefits has positioned oyster mushrooms as an important food resource in many parts of the world. The demand for mushrooms has expanded steadily over the past decades. Global production exceeded 43 million tonnes in 2020, with oyster mushrooms accounting for nearly one-quarter of this output.4,5 Market projections indicate a further increase, with the global mushroom sector expected to approach USD 95 billion by 2028, driven by growing consumer awareness of their functional and medicinal properties (Fortune Business Insight, 2021). However, mushrooms are highly perishable, containing close to 90% water, and typically deteriorate within a few days under ambient storage.6 This short shelf life presents a major barrier for large-scale distribution, highlighting the importance of effective preservation methods.7 Drying is a commonly employed method for preservation of mushrooms, as it lowers water activity, extends shelf life, and simplifies handling, transport and long-term storage.8 Mushroom drying is a complex and nonlinear process, largely governed by internal moisture diffusion and shrinkage during the falling-rate period.9,10 Conventional thin-layer mathematical models, although widely used, often oversimplify the process and struggle to provide accurate predictions across different drying conditions or industrial scales.11,12 This limitation calls for advanced modelling techniques capable of capturing the nonlinear behaviour of drying kinetics more effectively.13

Artificial intelligence-driven approaches, including Artificial Neural Networks (ANN) and Adaptive Neuro-Fuzzy Inference Systems (ANFIS), have emerged as promising tools for validating appropriate mathematical models of the drying process for different agricultural products.14 ANN can model complex input–output relationships without requiring predefined equations, while ANFIS integrates neural learning with fuzzy logic, providing both accuracy and interpretability.15,16 Previous studies have demonstrated that these approaches outperform conventional models in predicting drying behaviour for agricultural products, including mushrooms.17,18 Beyond prediction accuracy, ANN and ANFIS hold practical value for large-scale mushroom processing. Industrial drying operations are influenced by variable airflow, temperature gradients, and product shrinkage, which complicate process control. Data-driven models can be integrated into real-time monitoring systems to optimise drying parameters dynamically, thereby reducing energy consumption and improving product quality. They can also guide the design and modification of mushroom dryers by simulating airflow distribution, tray configurations, and hybrid drying approaches before implementation.19 Such applications reduce experimental costs, enhance efficiency, and support the development of intelligent drying systems tailored to the delicate nature of mushrooms.20,21 Despite these computational advancements, previous studies on oyster mushrooms have primarily focused on conventional thin-layer empirical equations, which frequently oversimplify nonlinear moisture diffusion. While separate investigations have utilised either RSM, ANN, or ANFIS, a direct three-way predictive benchmark that evaluates the intersection of statistical regression, neural learning, and fuzzy logic remains unexplored for mushroom matrices.22  Therefore, the primary objective of this study was to evaluate the convective drying kinetics of oyster mushrooms under varying temperatures (50–70°C) and slice thicknesses (5–20 mm), and to establish the most robust predictive framework by directly comparing the accuracy of RSM, ANN, and ANFIS models.

Materials and Methods

Sample Preparation

Fresh samples of oyster mushroom (Pleurotus ostreatus) were collected from the local market in Jorhat, Assam and cleaned using a dry cloth to ensure free from dirt.

Drying Experiment

The mushroom drying was performed in the post-harvest processing Laboratory of the Department of Agricultural Engineering, Assam Agricultural University, Jorhat. A batch-type tray dryer was used for the study, with an adjustable temperature range from 50°C to 70°C. The drying time was manually controlled during the trials. Before loading the samples, the dryer was switched on and allowed to stabilise at the desired temperature. The mushroom samples, prepared to the required thickness and placed on petri plates, were then dried for the set duration. After drying, the samples were weighed using a digital weighing balance (Make: ANAMED Instrument Pvt. Ltd.) to record their final weight.

Figure 1: Batch-type tray dryer

Click here to view Figure

Drying Kinetics

The experimental design was developed using a randomised central composite design (RCCD) generated with Design Expert software (version 13.0.5.0). The core factorial levels (±1) were set at 5–20 mm for thickness, 6–10 hours for duration, and 50–70°C for temperature. To maintain rotatability, the design generated axial points (±α = ±1.682), expanding the operating boundaries to extreme limits of 4.59 and 21.41 mm for thickness, 4.6 and 11.36 hours for duration, and 43.18°C and 76.81°C for temperature, across a total of 20 distinct optimisation runs (Table 2). Moisture content readings were taken at half-hour intervals until equilibrium moisture content was reached. The moisture content (MC) on a wet basis (w.b.) was calculated using Equation 1:

where MC = Amount of wet-basis moisture content, M0 = initial mass of the mushroom and M1= the mass after oven drying.

To analyse the behaviour of drying, curve fitting was performed to compare the experimental drying data with four empirical models at 50°C, 60°C, and 70°C. Kinetic analysis was carried out to understand the relationship between drying time and moisture ratio (MR). The moisture ratio was determined using Equation 2:

where MR = the moisture ratio, MCt = the moisture content at time t, MCe = the equilibrium moisture content, and MCo = the initial moisture content. Since MCe values were negligible compared to MCt and MCo, the moisture ratio can be simplified as represented in Equation 2.

Response Surface Modelling

Response Surface Modelling (RSM) is a statistical approach for optimisation of the drying process parameters and their influence on dependent variables. RSM typically employs regression analysis to build a polynomial model, most often a quadratic, for predicting the response across the experimental region. A randomised Central Composite Design (CCD) of the RSM was carried out considering moisture content as the dependent variable, whereas mushroom thickness, drying time and temperature were independent attributes. The data file was created in Design-Expert 13 software. The CCD consists of five design points, namely two axial levels (+α and –α), two factorial levels (+1 and −1), and a central level (0).

A second-order (quadratic) polynomial model, as represented in Equation 4,23 was expressed to effectively describe the relationship between the input data and the resulting response variables.

Where Y represents the response determined from the model, β0, βi, βii and βij were linear, quadratic, and interaction coefficients, respectively, and ε is the random error.

Model adequacy was evaluated using the lack-of-fit test, coefficient of determination (R²), and adjusted R². The F-test assessed coefficient significance. Regression coefficients were used to generate 3D response surface plots for estimation, and an optimisation was performed using a desirability function. 

Artificial Neural Networks (ANNs) Modelling

The drying behaviour of oyster mushrooms for the ANN model was simulated using the Neural Network Tool of MATLAB R2023b. The model was developed using the Levenberg-Marquardt training algorithm, which is often considered the fastest. The Levenberg-Marquardt procedure was utilised in the backpropagation model, with the ‘trainlm’ function. The training process aimed to reduce the mean square error (MSE) of the network by using the gradient descent method.24,25 The dataset for drying under different input parameters was augmented fivefold to fit ANN modelling.26 This approach was adopted to prevent overfitting and to maintain an efficient convergence rate, which may be adversely affected by excessively large or small numbers of neurons, respectively.27 Therefore, in this ANN architecture (Fig.1), a total of three input variables, a single hidden layer containing ten neurons and one output neuron were employed.

The input attributes were oyster mushroom thickness, drying temperature, and drying time, whereas final moisture content after drying was the output variable. The dataset was allocated into three subsets with 70, 15 and 15 per cent used for training, validation and testing, respectively. The training dataset was employed to analyse the relationship between the network’s input and output parameters.

Figure 2: Neural network diagram for three inputs and one output

Click here to view Figure

Adaptive Neuro-fuzzy inference system (ANFIS)

The ANFIS analysis was done to determine the predicted value of moisture content using the Neuro-Fuzzy Logic Toolbox in MATLAB R2023b. A Sugeno-type fuzzy inference system (FIS) was constructed using grid partitioning, with the membership functions for all input variables defined by the ‘trimf’ (triangular membership) function. Each input was given three membership functions. To obtain the best-trained model for 30 epochs, a hybrid learning algorithm was applied as the optimum method to the fuzzy inference system. The capturing of drying parameters was done by automatically generated rules to cover twenty-seven IF–THEN combinations of fuzzy rules.28 ANFIS model was described with three drying parameter inputs (mushroom layer thickness ‘t’, drying time ‘DTime’, and drying temperature ‘DTemp’) and one output, ‘f’ (wet basis moisture content MC). The variable ‘f’ represents either the moisture ratio (MR) or drying rate (DR). It was explained as follows [3]:

Rule 1: If t is A1 and DTime is B1 and DTemp is C1 then f1

Rule 2: If t is A2 and DTime is B2 and DTemp is C2 then f2

Here, t represents the mushroom thickness in mm, DTemp is the input air temperature (C), DTime refers to the drying time (hr). The A₁, A₂, B₁, B₂, C₁, and C₂ denote the linguistic indicators. The parameters x₁, x₂, y₁, y₂, z₁, and z₂ are the linear coefficients of the output functions, whereas f₁ and f₂ represent first-order polynomial functions.

The ANFIS model, designed to anticipate the moisture content (w. b.) of mushrooms based on thickness (t), drying time (Dtime), and drying temperature (Dtemp), operates through a five-layer architecture that integrates fuzzy logic and neural network principles, optimised by a hybrid learning method combining backpropagation and least squares estimation. Each of the three input variables was defined with three triangular membership functions (trimf), covering the ranges of 5 to 20 mm for thickness, 6 to 10 hours for drying time, and 50°C to 70°C for drying temperature. ANFIS was included due to its hybrid structure, combining the nonlinear learning capability of ANN with the interpretability of fuzzy logic. Unlike RSM, it does not rely on predefined equations, and unlike ANN, it provides rule-based insights, making it particularly suitable for modelling the complex and uncertain behaviour of mushroom drying.

Layer 1 serves as the fuzzification layer, where the input variables were mapped to fuzzy sets using the defined membership functions. This results in a total of 27 fuzzy rules generated by grid partitioning, each representing a unique combination of the linguistic terms (e.g., A1 for low thickness, B2 for medium drying time, etc.). Membership values for each adaptive node were written as follows:29,30

In Layer 2, the firing strength of each rule is computed by applying the fuzzy AND operator (typically the product of membership degrees) across the inputs. The firing strength of each rule is calculated by multiplying the membership values of all the input variables involved in that rule.

Layer 3 normalises these firing strengths to ensure they are proportionally scaled. Each rule’s firing strength is divided by the total of all firing strengths. This ensures that the weights used in the final output calculation are proportional and sum up to 1.24

In the fourth layer (Defuzzification), each node in this layer represents the output function of a fuzzy rule. ANFIS uses a first-order Sugeno-type fuzzy inference, where the output of each rule is a linear equation:

The fifth layer aggregates all the weighted outputs from Layer 4 to produce a single crisp output, i.e. the predicted moisture content (MC).30,31

In this present study, the same dataset of 100 observations used in the ANN block was applied to the ANFIS model. The data set for network modelling was divided randomly divided into three groups: 70% for training and 15% each for testing and validation. 

The errors between the model’s target and output values were evaluated using statistical parameters, R2 and mean square error (MSE):32,33

Results

Drying kinetics

As shown in Figure 3, the moisture ratio with drying time demonstrated an initially steep decline, which gradually became more gradual as drying proceeded and equilibrium moisture content was reached. This behaviour is attributable to the high initial moisture level in the mushroom samples, necessitating rapid moisture removal at the start of the process. The drying curve fitting at three different temperatures was done by using the MATLAB curve fitting tool. The performance of the different drying models was assessed using the correlation coefficient (R2), sum of squared error (SSE), and root mean square error (RMSE). The highest R2 and the lowest SSE and RMSE were considered the best-fitting model.34,35 The best goodness of fit model f(x) = a*exp (-((x-b)/c) ^2) from Table 1 was observed for 70°C, 60°C and 50°C temperature drying with highest R-square (0.9982, 0.9936, 0.9969), lowest SSE (0.0025, 0.0098, 0.0052) and lowest RMSE (0.0144, 0.0256, 0.0171).

Table 1: shows the data for different models

Drying Temperature

Model

Co-efficient

Parameter

a

b

c

R-square

SSE

RMSE

70 °

f(x) = a*x^2 + b*x + c

0.0345

-0.3993

1.1341

0.9863

0.0190

0.0398

f(x) = a*exp(b*x)

1.4129

-0.6213

 

0.9929

0.0098

0.0275

f(x) = a*log(x) + b

-0.3951

0.7112

 

0.9628

0.0516

0.0630

f(x) = a*exp (-((x-b)/c) ^2)

2.3208

-3.1594

3.9869

0.9982

0.0025

0.0144

60 °

f(x) = a*x^2 + b*x + c

0.0268

-0.3438

1.0424

0.9370

0.0960

0.0800

f(x) = a*exp(b*x)

1.4946

-0.7036

 

0.9898

0.0156

0.0312

f(x) = a*log(x) + b

-0.3558

0.6672

 

0.9084

0.1395

0.0934

f(x) = a*exp (-((x-b)/c) ^2)

2.6533

-3.0486

3.6322

0.9936

0.0098

0.0256

50 °

f(x) = a*x^2 + b*x + c

0.0155

-0.2537

1.0457

0.9878

0.0207

0.0339

f(x) = a*exp(b*x)

1.2383

-0.4005

 

0.9958

0.0072

0.0195

f(x) = a*log(x) + b

-0.3529

0.7775

 

0.9767

0.0398

0.0457

f(x) = a*exp (-((x-b)/c) ^2)

21.6248

-16.7880

9.8515

0.9969

0.0052

0.0171

 

Figure 3: Moisture ratio of oyster mushroom at different temperatures of(A) 70°C, (B) 60°C, and (C) 50°C

Click here to view Figure

RSM modelling

The moisture contents of mushrooms after drying were given in Table 2. The drying time and temperature exerted a significant influence on the response variable. The lowest wet basis moisture content, 6.78%, was observed at a drying temperature of 70°C and a drying time of 10 hours, with a mushroom thickness of 8 mm.

Table 2: Experimental value of moisture content

Run

Factors

Response

A: Thickness

B: Time

C: Temperature

MC (wet basis)

mm

Hr.

Degree

%

1

8.00

10

50

16.01

2

13.00

8

60

19.11

3

8.00

6

70

14.33

4

13.00

4.6

60

38.66

5

13.00

8

60

19.56

6

18.00

10

50

18.58

7

18.00

6

70

18.91

8

8.00

10

70

6.78

9

21.41

8

60

29.39

10

13.00

8

60

22.08

11

18.00

6

50

32.33

12

13.00

8

76.81

11.56

13

13.00

8

60

20.56

14

4.59

8

60

11.23

15

8.00

6

50

26.33

16

13.00

8

60

19.86

17

13.00

8

43.18

38.36

18

13.00

11.36

60

10.12

19

18.00

10

70

11.61

20

13.00

8

60

17.84

ANOVA for Linear model

ANOVA results could be employed for analysis and validation in different models.36,37 The analysis was configured with the natural log of moisture content data, and Table 3 was generated.  The highest correlation coefficient 0.906 and standard deviation 0.151 were observed with the linear model for the drying process.

In Equation (16) represents the drying process with the input factors.

The predicted moisture content data from RSM were presented in Figure 3

Table 3: ANOVA analysis of experimental data

Source

Sum of Squares

Mean Square

F-value

p-value

 

Model

3.560

1.190

51.810

< 0.0001

significant

A-Thickness

0.568

0.568

24.870

0.0001

 

B-Time

1.510

1.510

66.020

< 0.0001

 

C-Temperature

1.480

1.480

64.560

< 0.0001

 

Residual

0.366

0.022

     

Lack of Fit

0.340

0.031

6.050

0.029

significant

Pure Error

0.025

0.005

     

Cor Total

3.920

       

3D Surface Plotting

Figure 4 was used to express the interaction among thickness, drying time and temperature with moisture content received from RSM. The contour plots were created by varying two input parameters across their respective experimental range while holding the other factors constant at their baseline levels. Figure 4, (A) and (B) show that increasing drying temperature and time reduced moisture content. Similarly, in (C) and (D), decreasing thickness while increasing drying time lowered moisture content. In (E) and (F), increasing thickness and lowering drying temperature led to higher moisture content.

Figure 4: 3D surface plot of the drying process showing interaction between (A, B) time and temperature, (C, D) time and thickness and (E, F) thickness and temperature.

Click here to view Figure

ANN modelling

The relationship between the number of neurons, mean square error, and performance validation was illustrated using an ANN regression plot. A trial-and-error approach was used to determine the optimal number of neurons in the hidden layer, aiming to minimise deviations between experimental and predicted values.38,39 The multilayer perceptron consisted of three input nodes representing temperature, time, and thickness, a single hidden layer with ten neurons selected through trial optimisation, and one output node for predicted moisture content.

The weighted combination of inputs received by each neuron was transformed using a nonlinear activation function to generate the corresponding output signal.39 The optimal ANN architecture for prediction was structured as 3–10–1. The targeted training cycle was for 1000 epochs. The network showed its best validation performance at the 8th epoch iteration with a minimum MSE value of 0.640 (Figure 5). The training stopped due to the gradient becoming very small (3.59e-10 < 1e-07), indicating convergence without overfitting.

Figure 5: ANN regression

Click here to view Figure

Mean squared error (MSE) values of 0.435, 0.640 and 0.708 were found in the training, validation and testing phases, respectively. The corresponding regression values were 0.997, 0.996 and 0.995, with an overall regression value of 0.996.

Figure 6: ANN regression performance for training, validation, testing and overall data.

Click here to view Figure

Figure 7: Error histogram after training

Click here to view Figure

The error histogram (Figure 7) of 20 bins provides a visual representation of the differences between the target values and the network’s predicted outputs, separated by training, validation, and test datasets.

ANFIS modelling

The same 100 observations used for ANN modelling were used for developing the ANFIS model. The dataset was arranged in a 100 × 4 matrix using a MATLAB m-file. The matrix included three input variables, namely mushroom thickness, drying time, and drying temperature, along with moisture content as the output variable. The ‘Trimf’ membership function was selected for the grid partitioning process. The Sugeno FIS structure used is illustrated in Figure 8.

Figure 8: ANFIS structure for the drying process

Click here to view Figure

The MSE for the training, validation (checking) and testing subsets were 2.476, 2.619, and 0.689, respectively.

Model predictions and comparison

Figure 9: Predicted vs. experimental moisture content from ANFIS data

Click here to view Figure

The predicted moisture contents (wet basis) by the three different models from RSM, ANFIS and ANN for twenty data sets were compared with the experimental data. Table 4 presents the observed (experimental) values, the corresponding predicted values, and the calculated residuals (differences between observed and predicted values).

Table 4: Predicted moisture (wet basis) content and the residuals of RSM, ANFIS and ANN models

MC Experimental

%

Model Prediction

Residuals

RSM

ANFIS

ANN

RSM

ANFIS

ANN

22.08

18.55

19.89

19.91

3.53

2.19

2.17

32.33

44.08

32.33

32.66

-11.75

0.00

-0.33

11.56

10.67

11.56

11.61

0.89

0.00

-0.05

20.56

18.55

19.89

19.91

2.01

0.67

0.65

11.23

13.16

11.23

11.03

-1.93

0.00

0.20

26.33

29.31

26.33

26.46

-2.98

0.00

-0.13

19.86

18.55

19.89

19.91

1.31

-0.03

-0.05

38.36

32.25

38.36

38.10

6.11

0.00

0.26

11.61

11.74

11.61

11.98

-0.13

0.00

-0.37

17.84

18.55

19.89

19.91

-0.71

-2.05

-2.07

16.01

15.07

16.01

16.14

0.94

0.00

-0.13

19.11

18.55

19.89

19.91

0.56

-0.78

-0.80

14.33

15.18

14.33

14.10

-0.85

0.00

0.23

38.66

32.45

38.66

38.66

6.21

0.00

0.00

19.56

18.55

19.89

19.91

1.01

-0.33

-0.35

18.58

22.67

12.72

18.58

-4.09

5.86

0.00

18.91

22.83

18.91

19.44

-3.92

0.00

-0.53

6.78

7.8

6.78

10.52

-1.02

0.00

-3.74

29.39

26.15

29.39

29.90

3.24

0.00

-0.51

10.12

10.6

10.12

10.48

-0.48

0.00

-0.36

Discussion

Drying kinetics

The higher drying temperatures resulted in a faster reduction in moisture ratio, indicating that increasing temperature leads to a shorter overall drying time. The degree of agreement between the experimental observations and the values estimated by each model was assessed using the correlation coefficient (R2), sum of squared error (SSE), and root mean square error (RMSE). The model exhibiting the highest R² together with the lowest SSE and RMSE was considered the most accurate and suitable model for describing the drying behaviour of the mushroom samples.34,35 In this case, A (thickness), B (time) and C (temperature) were all significant. The observations were consistent with previous studies on mushroom drying, where the absence of a constant-rate period has been attributed to the highly porous structure and rapid depletion of free surface moisture.40,41

RSM modelling and ANOVA

The Predicted R² of 0.838 closely aligned with the Adjusted R² of 0.888, and as the difference between these values is less than 0.2, indicating a goodness of fit for the model. The significance and magnitude of the model terms were determined using the p-value at a 95% confidence level along with the F-value. As shown in Table 3, P-values less than 0.0500 indicate that model terms were significant.42,43 The Model F-value of 51.81 implies that the linear model was significant for the experimental data. There was only a 0.01% chance that an F-value this large could occur due to noise. A coefficient of variation (CV) of 5.20 in the model indicates a high level of reliability and precision in the experimental data.

During the stepwise analysis of variance (ANOVA) reduction, all quadratic terms and cross-product interaction terms were found to be statistically insignificant ( 𝑝 >0.05). To make the model simple and avoid inflating the residual error, these insignificant high-order terms were systematically excluded, resulting in a simplified final linear regression model.

In response surface methodology, an insignificant lack-of-fit is generally desired for model validity.44 However, the significant lack-of-fit observed in this study (p = 0.0298) indicates that the model does not fully capture the underlying relationship between variables, suggesting the presence of higher-order or interaction effects.45 This insignificance strongly implies that the underlying physical relationship governing mushroom drying is highly complex and nonlinear. Consequently, the linear RSM model is insufficient for accurate process control of drying that directly justifies the transition toward advanced machine learning paradigms like ANN and ANFIS.

In the 3D surface and contour plots (Figure 4), the reduction in moisture content with increasing temperature and time resulted in a greater driving force for moisture diffusion. The higher the temperature, the higher will be the vapour pressure gradient between the sample and the drying air. The lower moisture content achieved with decreasing thickness and increasing time (C, D) was attributable to the shorter diffusion path length in thinner samples. The increase in the surface-area-to-volume ratio allowed the moisture to reach the surface and evaporate more readily. A longer moisture diffusion time and low vapour pressure gradient reflected the integrated effect of the higher sample thickness and low temperature (E, F). This subsequently reduced the rate of drying. The drying temperature and time had a greater effect on moisture reduction than thickness, as also indicated by the higher F-values for B and C than A.

ANN Modelling

The high regression values were observed for the training, validation and testing phases (0.997, 0.996 and 0.9958, respectively), together with the overall regression value of 0.9966, indicating a strong correlation between the predicted and experimental moisture content. It also confirmed that the network’s output closely followed the target values and demonstrated reliable model performance. The stopping of training was due to a very small gradient, indicating that the network converged without overfitting. Yet, a small gradient during convergence does not definitively rule out the total absence of overfitting. The concentration of prediction errors was close to zero in the error histogram, further indicating that most of the network’s predictions were very close to the actual values. In the error histogram, the majority of the errors were concentrated around zero, specifically in the range between approximately -0.09 and 0.09, indicating that most predictions were very close to the actual values.

ANFIS modelling

The low MSE values indicate that the ANFIS model performed well across all data subsets, showing no signs of overfitting. A strong level of correlation was observed between the experimental and predicted data with an overall correlation coefficient of 0.9953, suggesting that the model was capable of accurately predicting moisture content.

Conclusion

This study revealed the effectiveness of advanced modelling methods for predicting wet basis moisture content during drying of oyster mushrooms. The conventional statistical modelling through RSM provided satisfactory results, but its predictive capability was found to be limited compared to AI approaches. Both ANN and ANFIS captured the nonlinear relationships between drying parameters (temperature, time and thickness) and wet-basis moisture content with high accuracy, with ANN slightly outperforming ANFIS in terms of prediction error and correlation. The findings from this study highlighted the potential of ANN and ANFIS as reliable predictive tools for real-time monitoring and optimisation of drying processes. The integration of these data-driven models into commercial drying systems is necessary for evaluating processing efficiency, thermal energy consumption and improving product quality. Moreover, the AI models developed in the study can be used to design intelligent drying strategies, aiding in the large scale-drying of oyster mushrooms.

Acknowledgement

The authors sincerely acknowledge the Department of Agricultural Engineering, Assam Agricultural University, Jorhat, for providing the necessary infrastructure and research facilities to conduct this study. The authors are also thankful to the All India Coordinated Research Project (AICRP) on Post-Harvest Engineering and Technology (PHET) for their continuous technical support and guidance.

Funding Sources

The author(s) received no financial support for the research, authorship, and/or publication of this article. 

Conflict of Interest

The author(s) do not have any conflict of interest. 

Data availability Statement

Data will be made available on request. 

Ethics Statement

This research did not involve human participants, animal subjects, or any material that requires ethical approval. 

Informed Consent Statement

This study did not involve human participants, and therefore, informed consent was not required.

Clinical Trial Registration

This research does not involve any clinical trials.

Permission to reproduce material from other sources

Not Applicable 

Author Contributions

  • Kaushik Hazarika: Conceptualization, Methodology, Formal analysis, Data curation, Writing – original draft – review & editing.
  • Abhijit Borah: Resources, Data curation, Supervision.
  • Rejaul Hoque Bepary: Writing – original draft, review & editing.
  • Tabaruk Hussain: Methodology, Writing – original draft, Writing.
  • Saurajyoti Baishya: Supervision, review & editing. 

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