Dr. Totan Garai

@syamsundarcollege.ac.in

Assistant Professor
Department of Mathematics, Syamsundar College, Syamsundar, Bardhaman, West Bengal, India

https://researchid.co/totan1991

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, Applied Mathematics, Control and Optimization, Decision Sciences

Scopus Publications

472

Scholar Citations

Scholar h-index

Scholar i10-index

Scopus Publications

A possibility-based multi-criteria decision-making approach for artificial recharge structure selection using pentagonal fuzzy numbers
George Biswas, Totan Garai, and Uttaran Santra
Elsevier BV

The design and evaluation of a picture fuzzy mining safety system with picture fuzzy differential equations
Debapriya Mondal, Totan Garai, Gopal Chandra Roy, and Shariful Alam
Elsevier BV

Possibilistic index-based multi-criteria decision-making with an unknown weight of air pollution model under bipolar fuzzy environment
Totan Garai, Harish Garg, and George Biswas
Springer Science and Business Media LLC

A fraction ranking-based multi-criteria decision-making method for water resource management under bipolar neutrosophic fuzzy environment
Totan Garai, Harish Garg, and George Biswas
Springer Science and Business Media LLC

An interpreter ranking index-based MCDM technique for COVID-19 treatments under a bipolar fuzzy environment
Totan Garai and Harish Garg
Elsevier BV

Multi-item economic production quantity model under single valued bipolar neutrosophic environment based on possibilistic theory
Sourav Kumar Giri, Totan Garai, and Sahidul Islam
IOS Press
It is challenging for a decision-maker to decide a proper decision in severe situations of multi-aspirated real-life problems.So there is always an ambiguity in the mind of decision maker. Keeping such vagueness in mind, this paper aims to incorporate some situation parameters imprecise in nature. The imprecise parameters are taken in single-valued bipolar neutrosophic environments. Different arithmetic operations on the single-valued bipolar neutrosophic number using the (α, β) cut method are proposed in this paper. Using this we have calculated the possibility mean of single valued bipolar neutrosophic numbers. A multi-item economic production quantity model with one time only discount is considered here with some parameters in single valued bipolar neutrosophic number as a case study of our proposed work. A possibilistic mean de-fuzzification technique is used here using possibility measures. Finally, numerical illustration and sensitivity analysis is done for different variables to emphasize the excellence of our proposed work.

Application of a fuzzy differential equation system to the oil and gas industry safety model
Debapriya Mondal, Totan Garai, Gopal Chandra Roy, and Shariful Alam
Springer Science and Business Media LLC

Softmax function based neutrosophic aggregation operators and application in multi-attribute decision making problem

Sustainable supply chain coordination with greening and promotional effort dependent demand
Arpita Paul, Totan Garai, and Bibhas Giri
Inderscience Publishers

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 and Arpita Paul
Informa UK Limited

Multi-criteria decision making of COVID-19 vaccines (in India) based on ranking interpreter technique under single valued bipolar neutrosophic environment
Totan Garai and Harish Garg
Elsevier BV

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 and Harish Garg
Elsevier BV

Possibilistic multiattribute decision making for water resource management problem under single-valued bipolar neutrosophic environment
Totan Garai and Harish Garg
Hindawi Limited
Single‐valued bipolar neutrosophic (SVbN) numbers are a distinctive set of the neutrosophic set on the real line. In decision making problem, SVbN‐number has a great importance when human decision is based on both positive and negative thought. All membership functions (truth, indeterminacy, and falsity) of SVbN number are contained the positive and negative parts within the range of −1 to 0 and 0 to 1. In this article, we have defined the possibilistic ranking method of single valued bipolar neutrosophic numbers. The notions of possibilistic mean and SD of SVbN number are introduced here. A new approach possibilistic multiattribute decision making is developed according to the possibilistic mean and SD. In addition, we have invented possibilistic multiattribute decision making on water resource management problem under bipolar neutrosophic environment. Finally, a numerical example is considered with single‐valued trapezoidal bipolar neutrosophic informations to show the pertinence and implementation of the proposed possibilistic decision making method.

Pricing strategy of competing retailers in a two layer supply chain under nonlinear stochastic demand
Dipankar Chakraborty, Arpita Paul, and Totan Garai
Inderscience Publishers

A Novel MCDM Method Based on Possibility Mean and Its Application to Water Resource Management Problem Under Bipolar Fuzzy Environment
Totan Garai, George Biswas, and Uttaran Santra
Springer International Publishing

A Novel Ranking Method of the Generalized Intuitionistic Fuzzy Numbers Based on Possibility Measures
Totan Garai
Springer International Publishing

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, and Sahidul Islam
Springer Science and Business Media LLC

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, and Tapan Kumar Roy
Springer Science and Business Media LLC

A ranking method based on possibility mean for multi-attribute decision making with single valued neutrosophic numbers
Totan Garai, Harish Garg, and Tapan Kumar Roy
Springer Science and Business Media LLC

A multi-item multi-objective inventory model in exponential fuzzy environment using chance-operator techniques
Totan Garai, Dipankar Chakraborty, and Tapan Kumar Roy
Springer Science and Business Media LLC

Multi-objective linear fractional inventory model with possibility and necessity constraints under generalised intuitionistic fuzzy set environment
Totan Garai and Harish Garg
Institution of Engineering and Technology (IET)
This study presented a multi-objective linear fractional inventory (LFI) problem with generalised intuitionistic fuzzy numbers. In modelling, the authors have assumed the ambiances where generalised trapezoidal intuitionistic fuzzy numbers (GTIFNs) used to handle the uncertain information in the data. Then, the given multi-objective generalised intuitionistic fuzzy LFI model was transformed into its equivalent deterministic linear fractional programming problem by employing the possibility and necessity measures. Finally, the applicability of the model is demonstrated with a numerical example and the sensitivity analysis under several parameters is investigated to explore the study.

Multi-objective Inventory Model with Both Stock-Dependent Demand Rate and Holding Cost Rate Under Fuzzy Random Environment
Totan Garai, Dipankar Chakraborty, and Tapan Kumar Roy
Springer Science and Business Media LLC

A fuzzy rough multi-objective multi-item inventory model with both stock-dependent demand and holding cost rate
Totan Garai, Dipankar Chakraborty, and Tapan Kumar Roy
Springer Science and Business Media LLC

A multi-objective generalized intuitionistic fuzzy linear fractional inventory model with possibility and necessity constraints

Fully fuzzy inventory model with price-dependent demand and time varying holding cost under fuzzy decision variables
Totan Garai, Dipankar Chakraborty, and Tapan Kumar Roy
IOS Press

RECENT SCHOLAR PUBLICATIONS

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

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

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

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

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

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

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

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

Multi-item economic production quantity model under single valued bipolar neutrosophic environment based on possibilistic theory
SK Giri, T Garai, S Islam
Journal of Intelligent & Fuzzy Systems 44 (5), 7059-7072 2023

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

Softmax function based neutrosophic aggregation operators and application in multi-attribute decision making problem
T Garai, S Dalapati, F Smarandache
Neutrosophic Sets and Systems 56 (1), 16 2023

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

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

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

A novel MCDM method based on possibility mean and its application to water resource management problem under bipolar fuzzy environment
T Garai, G Biswas, U Santra
International conference on intelligent and fuzzy systems, 405-412 2022

Pricing strategy of competing retailers in a two layer supply chain under nonlinear stochastic demand
T Garai, A Paul, D Chakraborty
International Journal of Mathematics in Operational Research 23 (4), 528-544 2022

A novel ranking method of the generalized intuitionistic fuzzy numbers based on possibility measures
T Garai
Intelligent and Fuzzy Techniques for Emerging Conditions and Digital 2022

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

Possibility mean, variance and standard deviation of single-valued neutrosophic numbers and its applications to multi-attribute decision-making problems
T Garai, S Dalapati, H Garg, TK Roy
Soft Computing 24, 18795-18809 2020

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, 5245-5258 2020

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
Citations: 39

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
Citations: 34

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, 285-299 2018
Citations: 28

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, 71-88 2019
Citations: 27

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, 1-20 2017
Citations: 26

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
Citations: 25

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
Citations: 22

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
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, 61-81 2019
Citations: 17

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
Citations: 14

A multi-item multi-objective inventory model in exponential fuzzy environment using chance-operator techniques
T Garai, D Chakraborty, TK Roy
The Journal of Analysis 27, 867-893 2019
Citations: 10

A novel ranking method of the generalized intuitionistic fuzzy numbers based on possibility measures
T Garai
Intelligent and Fuzzy Techniques for Emerging Conditions and Digital 2022
Citations: 9