Sankar Kumar Roy

Vidyasagar University · Department of Applied Mathematics With Oceanology and Computer Programming

Currently, q-rung orthopair (q-ROF) set theory is one of the most effective set theories in dealing uncertainty associated with imprecise information. In complex decision-making problems, input variables can be described by q-ROF numbers to cope ambiguity. While, generalized weighted Bonferroni mean (GWBM) operator can reflect correlation among inp...

Carbon emission reduction is very crucial nowadays. A proper balance is required for carbon emission reduction and burning of fossils fuels because during fossil fuel burning carbon is emitted and it is essential for industrialization. This study presents an inventory model with green technology where production of new items and remanufacturing of...

In response to the growing imperative of addressing environmental concerns and aligning with governmental regulations in supply chain management, this study navigates the optimization landscape of closed-loop supply chains through the lens of carbon cap and trade policy. The optimization model aims to account for the impact of consumer demands, dis...

This study configures a novus multi-objective three-stage supply chain network that aims at optimizing sustainability, resilient and responsive measures, simultaneously. At first, a novel prediction model based on Markov chain, Dempster-Safer evidence theory and Shapely value is developed under trapezoidal interval type-2 fuzzy ambience to predict...

Sustainable food supplier selection (SFSS) can be handled as an uncertain decision-making issue. The Pythagorean fuzzy set (PFS), a type of non-standard fuzzy set, offers an expanded description space for articulating fuzzy and uncertain data. Accordingly, this paper proposes a Pythagorean fuzzy synthetic decision method-based selection framework f...

Three-way decision (3WD) can be used to handle complexity and uncertainty in decision-making problems, and is compatible with human cognitive systems. For insufficient existing experiences, decision-makers (DMs) can select interval fuzzy information, as the information about medicine company is more hesitation, imprecision, and ambiguity. In the de...

In recent decades, global climate change has become one of the most critical environmental issues, leading to increased environmental and social concerns about the sustainability of logistics networks. This study proposes a novel multi-objective, multi-facility location–allocation model for a two-stage solid logistics network that supports green pr...

Due to an increase in decision making sophistication and risk, behavioural three-way decision making has replaced traditional two-way decision making. Accordingly, this study proposes a novus three-way multi-attribute decision making model by creating three-way decision rules in context of multi-attribute decision-making with two key behavioural th...

The increasing in industry as well as usage of vehicles for transporting products generate many problems to the environment such as greenhouse gas emission and global warming. As nowadays environmental pollution has become a crucial problem, production companies have now shifted their attention to lower the carbon emission level along with their fi...

Goal programming (GP) is one of the widely used and effective method of solving real-world multi-objective decision-making problems. The term “multi-objective transportation problem” (MOTP) covers a specific class of vector maximum (minimum) linear programming problem that typically has multiple, competing, and incompatible objective functions. In...

Electricity as a source of energy, is one of the most essential part in our life. In recent time, it is noted that the temperature of earth increases in compare to the previous years. It is caused due to burning of the conventional energy sources such as gas, oil, and coal from thermal power plant and other sources, which brings about global warmin...

An appropriate and sustainable waste management plan is required in different scenarios for global development. The main goal of this paper is to evaluate a waste management problem by investigating an integrated multi-objective environment through solid transportation problem. To develop sustainability, three objective functions are optimized by c...

In this paper, the COPRAS (Complex Proportional Assessment) method is ex- tended for interval-valued q-rung orthopair fuzzy numbers (IVq-ROFNs) to solve multi-attribute group decision-making (MAGDM) problems. A novel distance measure for IVq-ROFNs is proposed, and its properties are also probed. This distance measure is used in an improved weights...

Global warming and climate change become a sensitive issue worldwide, and many countries try to control the CO2 emissions by investigating in many projects. This study proposes a sustainable inventory model to reduce carbon emission. It is generally assumed that demand is increasing at starting of an inventory level and decreasing at ending for a p...

This paper explores the study of Multi-Objective Multi-item Solid Transportation Problem (MMSTP) under the fuzzy environment. Realizing the impact of real-life situations, here we consider MMSTP with parameters, e.g., transportation cost, supply, and demand, treat as trapezoidal fuzzy numbers. Trapezoidal fuzzy numbers are then converted into nearl...

T-spherical fuzzy set (T-SFS) is emerged as one of the effective tools for dealing uncertainty in decision-making process. Whereas, power aggregation operators help us in normalizing the impact of extreme values and capture the interconnectedness of the arguments. On the other hand, in multi-attribute decision-making (MADM) problems, one of the mos...

Release of toxic substances in water bodies from various sources is a major threat to ecologically most vulnerable aquatic food-chain. Again, planktons which hold the whole aquatic ecosystem by serving as the basic food sources, appear to be the most sensitive aquatic organisms to environmental toxins. Consequently all the fish species from prey to...

Introducing neuro-fuzzy concept in decision-making problems, makes a new way in artificial intelligence and expert systems. Sometimes, neural networks are used to optimize certain performances. In general, knowledge acquisition becomes difficult when problem’s variables, constraints, environment, decision maker’s attitude and complex behavior are e...

This paper is to integrate among solid transportation problem, budget constraints and carbon emission with probable maximum profit. The range of air pollution and climate change are effected by CO2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrs...

Urgency of fresh items is increasing day by day everywhere. During transportation over a long distance, the rate of deterioration is also increasing for perishable items, and if the items are not reaching at destination within a specified time, then they are no longer fresh. Based on the fact, the customers loose the quality and quantity of items;...

In recent times, COVID-19 pandemic has posed certain challenges to transportation companies due to the restrictions imposed by different countries during the lockdown. These restrictions cause delay and/ or reduction in the number of trips of vehicles, especially, to the regions with higher restrictions. In a pandemic scenario, regions are categori...

In the field of decision making, three-way decision making has been proven more fruitful for providing scopes to make delayed decision along with acceptance and rejection simultaneously. As a result, the decision risk and loss, which could occur due to take rapid decisions in traditional two-way decision making, are effectively reduced. Accordingly...

This research studies a transportation problem to minimize total transportation cost under the rough interval approximation by considering the multi-modal transport framework, referred to here as the rough Multi-Modal Transportation Problem ( MMTP ). The parameters of MMTP are rough intervals, because the problem is chosen from a real-life scenario...

This study’s motive is to vindicate the result of the preservation of a transportation system for transporting perishable items. We introduce a certain preservation technology (PT) with preservation cost to reduce the rate of deterioration, and then simultaneously to increase the lifetime of such items. Here we initiate a multi-objective solid tran...

Multimodal transport refers to the transportation of goods under a single contract but performed with at least two different modes of transport. This research designs a new method for solving the Transportation Problem (TP) by introducing multimodal transport systems under fuzzy-stochastic environment, which we refer to as Fuzzy-Stochastic Multimod...

The main inquisition of this paper is to introduce two methods for solving a multi-objective green 4-dimensional fixed-charge transportation problem (MG4FTP) under neutrosophic environment. The increasing use of transportation vehicles, the condition of roads, vehicle type in daily life to meet our needs that create a lot of problems such as global...

Carbon and Sulfur dioxides emissions are the key issues of global warming that affects on human health. Emissions cap- and -trade policy is a key mechanism implemented in several countries to reduce the emissions. Nowadays, public gathering is restricted due to the pandemic situation caused by COVID-19. As a result, people are facing huge problems...

In this paper, we study the worth of super predator in nourishing biodiversity, withal its topicality in food chain by taking a stage structure of super predator population. We first formulate a predator–prey model in the absence of super predator and establish the conditions for local and global stabilities at the interior equilibrium point of the...

In decision making problems like game situation, uncertainty leads a key role in establishing a position. Different types uncertainties with different degrees occur in literature as fuzzy, soft, rough, interval, etc. The game phenomenon is observed by these types of uncertainties, vagueness by game theorists and scientists in different aspects. The...

In this study, a new Linguistic Pythagorean Hesitant Fuzzy Set (LPHFS) is introduced by considering the notions of linguistic fuzzy set and Pythagorean hesitant fuzzy set. LPHFS is a suitable path to deal with the hesitant situation in decision making, which is characterized by linguistic membership and non-membership degrees. Multi-Criteria Decisi...

Waste management involved in various fields of global ecosystem that provides several positive effects for green environment and sustainable development. We devise a multi-objective solid transportation model of waste management problem in agriculture field and forest department for urban or rural development. Starting to end point of the problem c...

This paper studies a time-variant multi-objective linear fractional transportation problem. In reality, transported goods should reach in destinations within a specific time. Considering the importance of time, a time-variant multi-objective linear fractional transportation problem is formulated here. We take into account the parameters as cost, su...

In the last few decades, worldwide atmosphere change has become out to be one of the most significant environmental issues. Carbon emissions and air pollution have motivated a need to design an effective and sustainable logistics network. As a result, environmental policies are included in the transportation system to re-consider and re-structure a...

Nowadays green retail practices are increasing in number. In this paper, an inventory model is formulated with retail investments in green operations including variable holding cost. In the proposed model, the demand rate depends on selling-price as well as green concern level. The main objective of the study is to find optimal replenishment time a...

Disaster disrupts society to lead a normal life by causing huge casualties and damages or loss of properties, environment, or essential services of a society or a nation. In the case of a catastrophe, a suitable resource management program is needed to distribute resources efficiently among the people of the areas affected by the calamity. In this...

This study reports the structural modifications in undoped multiferroic BiFeO3 (bismuth ferrite or BFO) nanoparticles caused by doping at both the A-site (by 5% Gd) and B-site (by 2-8% Cr) and the resulting improvements in dielectric characteristics. Both un-doped and doped BFO nanoparticles were synthesized using the sol-gel technique and annealed...

A stage-structured prey–predator model with prey refuge is assumed, where predators have two stages as immature and mature. We consider here the harvesting on prey only and analyze the model using Beddington-DeAngelis functional response. Local stability as well as global stability at an interior equilibrium point are investigated in the proposed m...

Price rebate is only permitted when purchases made by the customer exceed a predefined limit and they later buy other items from the purchaser. There are various forms of rebate used by production companies. This study provides a deteriorating inventory model of four-level production rates and derives the rebate-value-based demand with the product...

In modern civilization, people are very fast and busy, and they try to achieve their goals in a short time. Most of the time, they do not consider the damage of nature to access their profits. In this regard, corporate world is moving based on use of technologies and machines. As a consequence, common people are losing their jobs in offices, factor...

Piezo actuation of mechanical resonators is widely adapted because of its simplicity and versatility. Piezo-driven atomic force microscopy cantilevers in air or liquid have a substantial drawback in that they produce spurious resonances that conceal the cantilever resonance peak. Bulk acoustic wave propagation via the piezo-shaker and device substr...

Solid transportation problem is one of the significant decision-making problems for industrial sectors in global economy. In this chapter two models of multi-objective fixed-charge solid transportation problem (MFSTP) are designed and analyzed under rough and fuzzy-rough frameworks. It is difficult to tackle uncertainty in real-life transportation...

Introducing neuro -fuzzy concept in decision making problems, makes a new way in artificial intelligence and expert systems. Sometimes, neural networks are used to optimize certain performances. In general, knowledge acquisition becomes difficult when problem's variables, constraints, environment, decision maker's attitude and complex behavior are...

Embedding sustainability in a distribution system solves major concerns appearing during wielding a distribution process. Therefore, this study explores a novel integrated model by developing sustainability in a multi-objective multi-item multi-choice step fixed-charge solid transportation problem under an intuitionistic fuzzy environment by consid...

Hesitant Fuzzy Set (HFS) permits the membership function having a collection of probable values which are more effective for modelling the real-life problems. Multiple Attribute Decision Making (MADM) process apparently assesses multiple conflicting attribute in decision making. In traditional decision making problems, each player is moving indepen...

Logistics problems play a significant role in an emergency situation. During and after a critical circumstance (like pandemic COVID-19), it is an important task to active the opened- and closed-loop system through an efficient and resilient supply chain network. This paper considers a multi-objective multi-product multi-period two-stage sustainable...

The hesitant fuzzy set (HFS) is a very fruitful mathematical approach to deal with uncertain or imprecise information. In this work, we consider a multi-objective linear production planning (MOLPP) problem in which multiple decision makers pool resources to make various products and analyze them with the help of cooperative game theory. It can be f...

The purpose of this study is to offer requisite models for unravelling the complex issues that arise in a supplier selection‐order allocation problem by soothing the risk and disturbances. To do this, a new uncertain environment, interval type‐2 Pythagorean fuzzy set (IT2PFS) is introduced to assist the experts for assuring secure and reliable outc...

The perishable milk products industry has to deal with multiple pressures such as demand forecasting, price fluctuations, lead time, order batching, and inflated orders along with difficulties of climatic and traffic conditions, storage areas and shipment in unfavorable circumstances. The Indian dairy industry faces immense wattage issue due to imp...

This paper analyses the study of Just-in-Time transportation problem with multi-item under multi-objective environment. Realizing the impact of time in a real-life transportation problem, here we introduce the concept of Just-in-Time which helps to extract the optimum network for transporting goods from origins to destinations in scheduled time. Th...

This paper is to integrate among solid transportation problem, budget constraints and carbon emission with probable maximum profit. The limits of air pollution and climate variation are solely dependent by exerting CO 2 gas and rest greenhouse gases due to myriad transportation system. Henceforth, it is our apt mission to minimize carbon emission f...

To deal with real-life diversity of our ecosystem, this paper analyzes two prey-two predator model including both Type-I and Type-II functional responses. The interior equilibrium point of the proposed model is calculated; and behaviour of the model around that point is studied. Local stability at an interior equilibrium point is discussed; and pos...

This article presents a multiple objective fractional fixed-charge transportation problem (MFFTP) in a rough decision-making framework. A transformation procedure is modified to convert non-linear multi-objective transportation problem to its linear version. The parameters of the designed model are considered to be fuzzy. We employ separate kinds o...

In this paper, we consider a prey-predator model with a reserve region of predator where generalist predator cannot enter. Based on the intake capacity of food and other factors, we introduce the predator population which consumes the prey population with Holling type-II functional response; and generalist predator population consumes the predator...

This paper describes a study on bi-level multi-objective transportation problem in fuzzy environment. To alleviate a difficulty of transporting goods within nodes for long distances, we venture to formulate a transportation problem using bi-level criteria. Again, in this paper, we incorporate the real-life uncertain situation in bi-level transporta...

Soft set theory has emerged recently as a new mathematical tool to handle uncertainty. Sometimes decision makers are not sure about the decision-making criteria, where soft set theory provides an idea to deal with such uncertainties. Multi-criteria decision making (MCDM) involves choosing the best from several alternatives. MCDM methods such as TOP...

In our daily life, we encounter many problems with uncertainty and vagueness in nature. Mathematical formulations and solutions of these problems are not easy and appear to be a challenging task to the researchers. Crisp sets and fuzzy sets suffer to deal with these. Hesitant fuzzy set—a protracted version of fuzzy set—comes into the fore to bridge...

In this contribution, for the first time, an efficient model of multi-objective product blending fixed-charge transportation problem with truck load constraints through transfer station is formulated. Transfer station inserts transfer cost and type-I fixed-charge. Our aim is to analyze an extra cost that treats as type-II fixed-charge and truck loa...

This research mainly focuses on presenting an innovative study of a multi-stage multi-objective fixed-charge solid transportation problem (MMFSTP) with a green supply chain network system under an intuitionistic fuzzy environment. The most controversial issue in recent years is that greenhouse gas emissions such as carbon dioxide, methane, etc. ind...

The most important strategic issue for several industries is where to find facilities so as to discover a transportation path for optimizing the objectives at the same time. This paper acquaints a streamlining model with incorporate the facility location problem, solid transportation problem, and inventory management under multi-objective environme...

Uncertainty provides an importance in decision making problems like game theory. Several types of uncertainties occur in the literature as fuzzy, soft, rough, interval, etc., and game theory is treated by these types of uncertainties and vagueness by game theorists and others in different aspects. Neutrosophic set and logic are emerged nowadays as...

During past few decades, fuzzy decision is an important attention in the areas of science, engineering, economic system, business, etc. To solve day-to-day problem, researchers use fuzzy data in transportation problem for presenting the uncontrollable factors; and most of multi-objective transportation problems are solved using goal programming. Ho...

This paper is designed based on the combined bioeconomic harvesting of Holling-Tanner prey-predator competition model with Beddington-DeAngelis functional response with two different delays. The situation and existence of the steady state points for proposed model are discussed. The conditions for local stability of the interior steady state points...

The delineation of the transportation network is a strategic issue for all over the place. The problem of locating new facilities among several existing facilities and minimizing the total transportation cost are the main topics of the location network system. This paper addresses the transportation-p-facility location problem (T-p-FLP) which makes...

In this paper, we formulate and solve an economic order quantity model with default risk. Our main purpose is to investigate retailer's optimal replenishment time and credit period for deteriorating items under selling price-dependent demand while maximizing profit per unit time. Here, shortages are allowed and items are partially backlogged for in...

Determining optimum places for the facilities and optimum transportation from existing sites to the facilities belongs to the main problems in supply chain management. The solid transportation-p-facility location problem (ST-p-FLP) is an integration between the facility location problem and the solid transportation problem (STP). This paper delinea...

This chapter develops a computational algorithm to solve a stochastic two-level programming in a noncooperative game using a fuzzy optimization technique. It also includes all parameters such as fuzzy variables except the constraints on the right side that follow an extreme value distribution. Mellin transformation is considered to convert the fuzz...