Dr. Totan Garai

Scopus Publications

A γ-Cut-Based MCDM Technique for Assessment of Biomedical Waste Management Under Generalized Heptagonal Fuzzy Environment
Totan Garai, Cengiz Kahraman, Xiao-Hong Pan
International Journal of Fuzzy Systems, 2026
Describing a Logistic Model for the Generation of Methane from Coal through the Interval Fuzzy Numbers
Debapriya Mondal, Totan Garai, Gopal Chandra Roy, Shariful Alam
Operations Research Forum, 2025
Parametric Center-Based Sustainable Modeling of Chennai Water Resource Management Under Bipolar-Fuzzy MCDM Techniques
Totan Garai
International Journal of Information Technology and Decision Making, 2025
Water recreates an essential role in advancing humanity, and it’s projected to be the most significant resource in the future. Drinking water is a necessary part of our society. Due to inappropriate administration, this city has been infested by a lengthy drinking water shortage. The leading causes of the drinking water shortage are: (i) Rapid urbanization and population growth, (ii) The rising daily water demand, (iii) The steadily falling availability of drinking water per capita. Thus, sustainably managing water resources in the water resources management (WRM) model is essential. Working for sustainable drinking water sources in a city has many factors, like the water supply, and demand and available water. Bearing proper decisions on managing sustainable water resources in Chennai is very tough employment due to many uncertain factors. Multi-criteria decision-making (MCDM) technique can provide a framework for finding sustainable water resources from available water resources in Chennai under various uncertain factors. A bipolar fuzzy (BpF) environment handles water resources’ positive and negative uncertain factors. This study presents a novel MCDM technique based on a parametric center under a BpF environment. First, we give the parametric center of BpF numbers and the ranking method of BpF numbers. Subsequently, the build-up of a new idea to manage the Chennai WRM model using the BpF MCDM technique. Sometimes the alternative (water sources) information on the WRM model is uncertain and has bipolar characteristics. Through the BpF concept, we can efficiently bear the bipolar (positive and negative) aspects and uncertainties of the WRM model. Numerically, we have exercised the Chennai WRM model with BpF information. A comparison analysis shows the benefit of our MCDM method for solving a Chennai WRM model. This paper’s introductory objective is to find sustainable water resources in Chennai city from available water sources under certain fortunate circumstances.
Spade possibilistic mean-based hexagonal fuzzy MCDM technique for solid waste management problem
Totan Garai
International Conference on Fuzzy Theory and Its Applications Ifuzzy, 2025
The issue of solid waste management (SWM) has gained significant attraction since the beginning of the twentyfirst century. Due to the huge population growth, solid waste generation is increasing daily. Poor management techniques of solid waste harm society, resulting in significant health risks, environmental contamination and financial deterioration. The primary goal of this study is to develop an multi-criteria decision making (MCDM) technique to solve the SWM problem in Kolkata city. Thus, we developed an MCDM technique in this investigation based on a spade possibilistic mean under an asymmetry hexagonal fuzzy environment. Based on the spade possibilistic mean MCDM technique, we have solved the Kolkata SWM problem numerically under the AHF environment. According to the direction, academics, environmentalists, and politicians will likely continue to study it. KMC solid waste management problem is solved using the spade possibilistic meanbased MCDM technique. Sometimes, the alternative information is vague; therefore, alternative information is considered an AHF environment. We consider four alternatives (various SW management techniques) and three criteria. Based on three criteria, our target is to find the best SW management technique from the available SW management techniques in KMC.
Expected value of generalized trapezoidal bipolar fuzzy number to solve a multi-item marketing planning inventory model with allowable shortages
Sourav Kumar Giri, Totan Garai, Sahidul Islam
Franklin Open, 2024
Decision makers often grapple with the complexity of multi-faceted real-life problems, where uncertainty arises from both positive and negative states of mind. This duality reflects the decision maker’s optimistic and pessimistic perspectives during the decision-making process. To address this, our paper introduces innovative concepts and frameworks for generalized bipolar trapezoidal fuzzy numbers. We propose novel arithmetic operations on these fuzzy numbers, computing the negative α -cut and positive β -cut methods. Furthermore, we uniquely compute the convex combination of expected values from both the positive and negative membership parts. These theoretical advancements are applied to a practical case study: a multi-item marketing planning inventory model with allowable shortages. Our proposed method’s efficacy is highlighted through detailed numerical illustrations, sensitivity analyses and comparative studies complemented by compelling graphical presentations • Using ( α , β ) cut arithmetic operations of generalized bipolar trapezoidal fuzzy number. • The expected value for both positive and negative membership functions is defined. • A new de-fuzzification technique is developed. • A bipolar fuzzy multi-item inventory model with market prediction is solved.
-possibility-center based MCDM technique on the control of Ganga river pollution under non-linear pentagonal fuzzy environment
Totan Garai
Journal of Ambient Intelligence and Humanized Computing, 2024
A fraction ranking-based multi-criteria decision-making method for water resource management under bipolar neutrosophic fuzzy environment
Totan Garai, Harish Garg, George Biswas
Artificial Intelligence Review, 2023
A possibility-based multi-criteria decision-making approach for artificial recharge structure selection using pentagonal fuzzy numbers
George Biswas, Totan Garai, Uttaran Santra
Decision Analytics Journal, 2023
Groundwater recharge is crucial in developing groundwater sources in an area for regional growth. One of the essential natural water resources is groundwater, which differs geographically in quality and amount. Groundwater resources are under great strain due to growing urbanization and population growth. Numerous studies have identified groundwater recharge regions using a geographic information system and Multi-Criteria Decision-Making (MCDM). In this study, we have proposed an Multi-Criteria Decision-Making technique for selecting artificial recharge structures in basaltic terrain. The proposed Multi-Criteria Decision-Making technique is built with possibility theory under a pentagonal fuzzy environment. Additionally, we have developed a possibilistic middle of asymmetric linear pentagonal fuzzy (LPF) number. Through the Multi-Criteria Decision-Making technique, we have selected the best artificial recharge structures from the available ones. To show our Multi-Criteria Decision-Making methods feasibility, we have considered one numerical example under a pentagonal fuzzy environment.
Possibilistic index-based multi-criteria decision-making with an unknown weight of air pollution model under bipolar fuzzy environment
Totan Garai, Harish Garg, George Biswas
Soft Computing, 2023
The design and evaluation of a picture fuzzy mining safety system with picture fuzzy differential equations
Debapriya Mondal, Totan Garai, Gopal Chandra Roy, Shariful Alam
Decision Analytics Journal, 2023
The mining industry continues to play a significant role in developing the economy in developing countries. The need for minerals influences the magnitude of the mining industry, and safety concerns have taken on considerable importance in this sector. Equipment failure and breakdown will severely disrupt production and cause accidents for the mining workers. Most safety studies in the mining industry consider deterministic models with crisp parameters. This study addresses safety in the mining industry under uncertainty and fuzziness. We present a picture fuzzy mining safety system with picture fuzzy differential equations. We examine and discuss the solutions to a mining safety model using triangular picture fuzzy numbers. We further study the shutdown probability at the mining system in safe and unsafe modes.
An interpreter ranking index-based MCDM technique for COVID-19 treatments under a bipolar fuzzy environment
Totan Garai, Harish Garg
Results in Control and Optimization, 2023
RETRACTION:Multi-item economic production quantity model under single valued bipolar neutrosophic environment based on possibilistic theory
Sourav Kumar Giri, Totan Garai, Sahidul Islam
Journal of Intelligent and Fuzzy Systems, 2023
Application of a fuzzy differential equation system to the oil and gas industry safety model
Debapriya Mondal, Totan Garai, Gopal Chandra Roy, Shariful Alam
International Journal of Information Technology Singapore, 2023
The effect of supply disruption in a two-layer supply chain with one retailer and two suppliers with promotional effort under random demand
Totan Garai, Arpita Paul
Journal of Management Analytics, 2023
Softmax function based neutrosophic aggregation operators and application in multi-attribute decision making problem
Totan Garai, Shyamal Dalapati, Florentín Smarandache
Neutrosophic Sets and Systems, 2023
Sustainable supply chain coordination with greening and promotional effort dependent demand
Arpita Paul, Totan Garai, Bibhas Giri
International Journal of Procurement Management, 2023
Multi-criteria decision making of COVID-19 vaccines (in India) based on ranking interpreter technique under single valued bipolar neutrosophic environment
Totan Garai, Harish Garg
Expert Systems with Applications, 2022
Multi-criteria decision making of water resource management problem (in Agriculture field, Purulia district) based on possibility measures under generalized single valued non-linear bipolar neutrosophic environment
Totan Garai, Harish Garg
Expert Systems with Applications, 2022
Possibilistic multiattribute decision making for water resource management problem under single-valued bipolar neutrosophic environment
Totan Garai, Harish Garg
International Journal of Intelligent Systems, 2022
A Novel Ranking Method of the Generalized Intuitionistic Fuzzy Numbers Based on Possibility Measures
Totan Garai
Lecture Notes in Networks and Systems, 2022
A Novel MCDM Method Based on Possibility Mean and Its Application to Water Resource Management Problem Under Bipolar Fuzzy Environment
Totan Garai, George Biswas, Uttaran Santra
Lecture Notes in Networks and Systems, 2022
Pricing strategy of competing retailers in a two layer supply chain under nonlinear stochastic demand
Dipankar Chakraborty, Arpita Paul, Totan Garai
International Journal of Mathematics in Operational Research, 2022
Possibilistic mean of generalized non-linear intuitionistic fuzzy number to solve a price and quality dependent demand multi-item inventory model
Sourav Kumar Giri, Totan Garai, Harish Garg, Sahidul Islam
Computational and Applied Mathematics, 2021
Possibility mean, variance and standard deviation of single-valued neutrosophic numbers and its applications to multi-attribute decision-making problems
Totan Garai, Shyamal Dalapati, Harish Garg, Tapan Kumar Roy
Soft Computing, 2020
A ranking method based on possibility mean for multi-attribute decision making with single valued neutrosophic numbers
Totan Garai, Harish Garg, Tapan Kumar Roy
Journal of Ambient Intelligence and Humanized Computing, 2020
Multi-objective linear fractional inventory model with possibility and necessity constraints under generalised intuitionistic fuzzy set environment
Totan Garai, Harish Garg
Caai Transactions on Intelligence Technology, 2019
A multi-item multi-objective inventory model in exponential fuzzy environment using chance-operator techniques
Totan Garai, Dipankar Chakraborty, Tapan Kumar Roy
Journal of Analysis, 2019
Multi-objective Inventory Model with Both Stock-Dependent Demand Rate and Holding Cost Rate Under Fuzzy Random Environment
Totan Garai, Dipankar Chakraborty, Tapan Kumar Roy
Annals of Data Science, 2019
A fuzzy rough multi-objective multi-item inventory model with both stock-dependent demand and holding cost rate
Totan Garai, Dipankar Chakraborty, Tapan Kumar Roy
Granular Computing, 2019
A multi-objective generalized intuitionistic fuzzy linear fractional inventory model with possibility and necessity constraints
Proceedings of the International Conference on Industrial Engineering and Operations Management, 2019
Fully fuzzy inventory model with price-dependent demand and time varying holding cost under fuzzy decision variables
Totan Garai, Dipankar Chakraborty, Tapan Kumar Roy
Journal of Intelligent and Fuzzy Systems, 2019
Possibility–necessity–credibility measures on generalized intuitionistic fuzzy number and their applications to multi-product manufacturing system
Totan Garai, Dipankar Chakraborty, Tapan Kumar Roy
Granular Computing, 2018
A multi-item generalized intuitionistic fuzzy inventory model with inventory level dependent demand using possibility mean, variance and covariance
Totan Garai, Dipankar Chakraborty, Tapan Kumar Roy
Journal of Intelligent and Fuzzy Systems, 2018
A multi-item inventory model with fuzzy rough coefficients via fuzzy rough expectation
Totan Garai, Dipankar Chakraborty, Tapan Kumar Roy
Springer Proceedings in Mathematics and Statistics, 2018
A three-layer supply chain inventory model for non-instantaneous deteriorating item with inflation and delay in payments in random fuzzy environment
Dipankar Chakraborty, Totan Garai, Dipak Kumar Jana, Tapan Kumar Roy
Journal of Industrial and Production Engineering, 2017
Convexity conditions for approximate generalized riemann derivable functions
Indian Journal of Mathematics, 2013
ON LAPLACE CONTINUITY
S. Ray, T. K. Garai
Real Analysis Exchange, 2012

RECENT SCHOLAR PUBLICATIONS

MCGDM Using Generalized-Spherical Fuzzy VIKOR Technique for Sustainable and Optimal Foundation Crop Seed Selection in Agriculture
H Mondal, T Garai, TS Haque, S Alam
Transactions on Fuzzy Sets and Systems 10 (2), 190 , 2026
2026
Industrial Waste Management Planning Evaluation Using Integrated Best-Worst Technique With Fuzzy TOPSIS
H Mondal, T Garai, O Oliveira, S Alam
Decision Making Advances, 1-21 , 2026
2026
A -Cut-Based MCDM Technique for Assessment of Biomedical Waste Management Under Generalized Heptagonal Fuzzy Environment
T Garai, C Kahraman, XH Pan
International Journal of Fuzzy Systems, 1-17 , 2026
2026
Parametric center-based sustainable modeling of chennai water resource management under bipolar-fuzzy mcdm techniques
T Garai
International Journal of Information Technology & Decision Making (IJITDM … , 2026
2026
Citations: 1
Spade Possibilistic Mean-Based Hexagonal Fuzzy MCDM Technique for Solid Waste Management Problem
T Garai
2025 International Conference on Fuzzy Theory and Its Applications (iFUZZY … , 2025
2025
Describing a Logistic Model for the Generation of Methane from Coal through the Interval Fuzzy Numbers
D Mondal, T Garai, GC Roy, S Alam
Operations Research Forum 6 (3), 114 , 2025
2025
Bipolar Expected Value-Based MCDM Technique on Wastewater Management under Trapezoidal Bipolar Fuzzy Environment
T Garai
Journal of Intelligent Systems in Current Computer Engineering 3 (1 … , 2025
2025
Citations: 5
Evaluating the nuclear power plant safety system under neutrosophic environment
D Mondal, T Garai, GC Roy, S Alam
Neutrosophic Sets and Systems 72, 286-303 , 2024
2024
Citations: 5
MCDM method for managing the water resources based on possibility theory under bipolar fuzzy environment
T Garai, G Biswas, U Santra, SK Giri
Journal of Intelligent Systems in Current Computer Engineering , 2024
2024
Citations: 3
Expected value of generalized trapezoidal bipolar fuzzy number to solve a multi-item marketing planning inventory model with allowable shortages
SK Giri, T Garai, S Islam
Franklin Open 8, 100164 , 2024
2024
Citations: 5
λ-possibility-center based MCDM technique on the control of Ganga river pollution under non-linear pentagonal fuzzy environment
T Garai
Journal of Ambient Intelligence and Humanized Computing, 1-11 , 2024
2024
Citations: 7
A possibility-based multi-criteria decision-making approach for artificial recharge structure selection using pentagonal fuzzy numbers
G Biswas, T Garai, U Santra
Decision Analytics Journal 9, 100365 , 2023
2023
Citations: 17
The design and evaluation of a picture fuzzy mining safety system with picture fuzzy differential equations
D Mondal, T Garai, GC Roy, S Alam
Decision Analytics Journal 9, 100322 , 2023
2023
Citations: 10
Possibilistic index-based multi-criteria decision-making with an unknown weight of air pollution model under bipolar fuzzy environment
T Garai, H Garg, G Biswas
Soft Computing 27 (23), 17991-18009 , 2023
2023
Citations: 27
A fraction ranking-based multi-criteria decision-making method for water resource management under bipolar neutrosophic fuzzy environment
T Garai, H Garg, G Biswas
Artificial Intelligence Review 56 (12), 14865-14906 , 2023
2023
Citations: 38
An interpreter ranking index-based MCDM technique for COVID-19 treatments under a bipolar fuzzy environment
T Garai, H Garg
Results in Control and Optimization 12, 100242 , 2023
2023
Citations: 21
Ranking method of the generalized intuitionistic fuzzy numbers founded on possibility measures and its application to MADM problem
T Garai
Advances in Computational Intelligence 3 (4), 14 , 2023
2023
Citations: 4
Application of a fuzzy differential equation system to the oil and gas industry safety model
D Mondal, T Garai, GC Roy, S Alam
International Journal of Information Technology 15 (3), 1243-1253 , 2023
2023
Citations: 17
The effect of supply disruption in a two-layer supply chain with one retailer and two suppliers with promotional effort under random demand
T Garai, A Paul
Journal of Management Analytics 10 (1), 22-37 , 2023
2023
Citations: 12
Sustainable supply chain coordination with greening and promotional effort dependent demand
A Paul, T Garai, BC Giri
International Journal of Procurement Management 16 (2), 196-233 , 2023
2023
Citations: 14

MOST CITED SCHOLAR PUBLICATIONS

Fully fuzzy inventory model with price-dependent demand and time varying holding cost under fuzzy decision variables
T Garai, D Chakraborty, TK Roy
Journal of Intelligent & Fuzzy Systems 36 (4), 3725-3738 , 2019
2019
Citations: 52
A ranking method based on possibility mean for multi-attribute decision making with single valued neutrosophic numbers
T Garai, H Garg, TK Roy
Journal of Ambient Intelligence and Humanized Computing 11 (11), 5245-5258 , 2020
2020
Citations: 50
Multi-criteria decision making of water resource management problem (in Agriculture field, Purulia district) based on possibility measures under generalized single valued non …
T Garai, H Garg
Expert Systems with Applications 205, 117715 , 2022
2022
Citations: 47
Possibilistic multiattribute decision making for water resource management problem under single‐valued bipolar neutrosophic environment
T Garai, H Garg
International journal of intelligent systems 37 (8), 5031-5058 , 2022
2022
Citations: 45
Possibility mean, variance and standard deviation of single-valued neutrosophic numbers and its applications to multi-attribute decision-making problems: T. Garai et al.
T Garai, S Dalapati, H Garg, TK Roy
Soft Computing 24 (24), 18795-18809 , 2020
2020
Citations: 44
Multi‐objective linear fractional inventory model with possibility and necessity constraints under generalised intuitionistic fuzzy set environment
T Garai, H Garg
CAAI Transactions on Intelligence Technology 4 (3), 175-181 , 2019
2019
Citations: 43
Possibilistic mean of generalized non-linear intuitionistic fuzzy number to solve a price and quality dependent demand multi-item inventory model
SK Giri, T Garai, H Garg, S Islam
Computational and applied Mathematics 40 (4), 110 , 2021
2021
Citations: 41
Multi-criteria decision making of COVID-19 vaccines (in India) based on ranking interpreter technique under single valued bipolar neutrosophic environment
T Garai, H Garg
Expert Systems with Applications 208, 118160 , 2022
2022
Citations: 40
A fraction ranking-based multi-criteria decision-making method for water resource management under bipolar neutrosophic fuzzy environment
T Garai, H Garg, G Biswas
Artificial Intelligence Review 56 (12), 14865-14906 , 2023
2023
Citations: 38
A multi-item generalized intuitionistic fuzzy inventory model with inventory level dependent demand using possibility mean, variance and covariance
T Garai, D Chakraborty, TK Roy
Journal of Intelligent & Fuzzy Systems, 1-16 , 2018
2018
Citations: 33
A three-layer supply chain inventory model for non-instantaneous deteriorating item with inflation and delay in payments in random fuzzy environment
D Chakraborty, T Garai, DK Jana, TK Roy
Journal of Industrial and Production Engineering 34 (6), 407-424 , 2017
2017
Citations: 33
Possibility–necessity–credibility measures on generalized intuitionistic fuzzy number and their applications to multi-product manufacturing system
T Garai, D Chakraborty, TK Roy
Granular Computing 3 (4), 285-299 , 2018
2018
Citations: 30
A fuzzy rough multi-objective multi-item inventory model with both stock-dependent demand and holding cost rate
T Garai, D Chakraborty, TK Roy
Granular Computing 4 (1), 71-88 , 2019
2019
Citations: 29
Expected value of exponential fuzzy number and its application to multi-item deterministic inventory model for deteriorating items
T Garai, D Chakraborty, TK Roy
Journal of Uncertainty Analysis and Applications 5 (1), 8 , 2017
2017
Citations: 28
Possibilistic index-based multi-criteria decision-making with an unknown weight of air pollution model under bipolar fuzzy environment
T Garai, H Garg, G Biswas
Soft Computing 27 (23), 17991-18009 , 2023
2023
Citations: 27
A novel ranking method of the generalized intuitionistic fuzzy numbers based on possibility measures
T Garai
International conference on intelligent and fuzzy systems, 20-27 , 2021
2021
Citations: 23
A multi-item periodic review probabilistic fuzzy inventory model with possibility and necessity constraints
T Garai, D Chakraborty, TK Roy
International Journal of Business Forecasting and Marketing Intelligence 2 … , 2016
2016
Citations: 22
An interpreter ranking index-based MCDM technique for COVID-19 treatments under a bipolar fuzzy environment
T Garai, H Garg
Results in Control and Optimization 12, 100242 , 2023
2023
Citations: 21
Multi-objective inventory model with both stock-dependent demand rate and holding cost rate under fuzzy random environment
T Garai, D Chakraborty, TK Roy
Annals of data science 6 (1), 61-81 , 2019
2019
Citations: 21
A possibility-based multi-criteria decision-making approach for artificial recharge structure selection using pentagonal fuzzy numbers
G Biswas, T Garai, U Santra
Decision Analytics Journal 9, 100365 , 2023
2023
Citations: 17

Dr. Totan Garai

RESEARCH, TEACHING, or OTHER INTERESTS

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

MOST CITED SCHOLAR PUBLICATIONS