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Location–allocation problem for green efficient two-stage vehicle-based logistics system: A type-2 neutrosophic multi-objective modeling approach

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Expert Systems with Applications 2024年 238卷

作者： Das, Soumen Kumar Yu, Vincent F. Roy, Sankar Kumar Weber, Gerhard Wilhelm Department of Pure and Applied Sciences Midnapore City College Kuturia West Bengal Bhadutala721129 India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University West Bengal Midnapore721102 India Department of Industrial Management National Taiwan University of Science and Technology Taipei Taiwan Center for Cyber-Physical System Innovation National Taiwan University of Science and Technology Taipei Taiwan Faculty of Engineering Management Poznan University of Technology Poznan Poland IAM METU Ankara Turkey

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 practices. To account for uncertainty in real-world problems, some parameters of the model are represented as triangular type-2 neutrosophic numbers to deal with hesitant situations. The fuzzy model is then converted into a deterministic one using a new ranking approach. Three conflicting objective functions – minimizing total financial costs, maximizing customers’ satisfaction levels, and ensuring sustainable and effective conveyances – are simultaneously optimized using the ϵ-constraint approach. The proposed model and solution approach are tested with two numerical examples. A comparative study is also presented, comparing the proposed approach with other Pareto-based multi-objective approaches, such as the global criterion approach, multi-objective fuzzy programming, and weighted Chebychev programming. Finally, the paper concludes with some remarks. © 2023

关键词： Sustainable development

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Hybrid multi-criteria decision-making method with a bipolar fuzzy approach and its applications to economic condition analysis

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Engineering Applications of Artificial Intelligence 2024年 132卷

作者： Jana, Chiranjibe Simic, Vladimir Pal, Madhumangal Sarkar, Biswajit Pamucar, Dragan Tamil Nadu Chennai602105 India Faculty of Transport and Traffic Engineering University of Belgrade VojvodeStepe 305 Belgrade11010 Serbia Yuan Ze University College of Engineering Department of Industrial Engineering and Management Taoyuan City320315 Taiwan Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore721102 India Department of Industrial Engineering Yonsei University 50 Yonsei-ro Sinchon-dong Seodaemun-gu Seoul03722 Korea Republic of Center for Global Health Research Saveetha Medical College Saveetha Institute of Medical and Technical Sciences Saveetha University Chennai Tamil Nadu 600077 India Department of Industrial Engineering and Management National Taipei University of Technology Taipei City 106344 Taiwan Department of Operations Research and Statistics Faculty of Organizational Sciences University of Belgrade Belgrade Serbia Department of Computer Science and Mathematics Lebanese American University Byblos 1102 2801 Lebanon

The bipolar fuzzy set and interval-valued bipolar fuzzy set efficiently analyse real-world problems where for each input of an object, there has counter information. This study's main objective is to lay a foundation for considering a new approach to the bipolar fuzzy hybrid operators tool applied in a realistic frame that contains uncertainties. In this view, some mixed aggregation operators, namely, the hybrid bipolar fuzzy weighted averaging geometric (H-BFWAG), hybrid bipolar fuzzy order weighted averaging geometric (H-BFOWAG), hybrid interval-valued bipolar fuzzy weighted averaging geometric (H-IVBFWAG), and hybrid interval-valued bipolar fuzzy order weighted averaging geometric (H-IVBFOWAG) operators are generated in bipolar fuzzy environment. A decision making approach is developed to build the multi-criteria decision making model. A numerical example is considered to study the different effects on various Indian economic sectors in the COVID-19 environment. Managerial implications are highlighted in between many industrial sectors on which the Indian economy depends and the country's gross domestic product depends on their inter-relationship. This study investigates COVID-19's impact on society and the economy in the Indian context. A comparative investigation is introduced with some pre-existing operators and the TOPSIS (technique for order of preference by similarity to ideal solution) approach to justify the proposed method. © 2024 Elsevier Ltd

关键词： COVID-19

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Hybrid Structures Applied to Subalgebras of BCH-Algebras

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Security and Communication Networks 2021年 2021卷

作者： Muhiuddin, G. Al-Kadi, D. Khan, W.A. Jana, C. Department of Mathematics University of Tabuk Tabuk71491 Saudi Arabia Department of Mathematics and Statistic College of Science Taif University P.O. Box 11099 Taif21944 Saudi Arabia Department of Mathematics and Natural Sciences Prince Mohammad Bin Fahd University P.O. Box 1664 Al Khobar31952 Saudi Arabia Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore721102 India

The algebraic structures have many applications in coding theory, cryptography, and security networks. In this paper, the notion of hybrid subalgebras of BCH-algebras is introduced and related properties are investigated. Moreover, some characterizations of hybrid subalgebras of BCH-algebras are given. Furthermore, we state and prove some theorems in hybrid subalgebras of BCH-algebras. The homomorphic images and inverse images of fuzzy BCH-subalgebras are studied and discussed. © 2021 G. Muhiuddin et al.

关键词： Algebra

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Erratum to “Bipolar fuzzy graphs” [Information Sciences 181 (2011) 5548-5564]

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Information Sciences 2019年 477卷 546-548页

作者： Ganesh Ghorai Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721 102 India

In this erratum, it is shown that Proposition 5.4 and Proposition 5.5 in [1] are not correct. Accordingly, the updated results are established.

关键词： Bipolar fuzzy graphs Semi-strong bipolar fuzzy graphs Counterexample

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A supply chain model for imperfect production system with stochastic lead time demand

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Journal of Management Analytics 2018年第4期5卷 309-333页

作者： Rabin Kumar Mallick Amalesh Kumar Manna Shyamal Kumar Mondal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar UniversityMidnaporeIndia

This study deals an integrated manufacturer-buyer supply chain system for imperfect production under stochastic lead time ***,defective rate has been followed as a function of production ***,the produced units have been inspected in order to screen the defective units but screening rate is less than the production rate and greater than the demand *** purchases the products from the ***,we assume that shortage during the lead time is permitted and demand during the shortage period is fully *** objective is to derive the optimal production rate,ordering quantity and to maximize joint total ***,two different models for different probability distribution functions of stochastic lead time demand have been *** numerical examples are provided to show the applicability of the proposed models comparing the optimum average ***,sensitive analysis,conclusion and future researches are presented.

关键词： supply chain imperfect production stochastic lead time demand back order

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Genus value of m -polar fuzzy graphs

Genus value of m -polar fuzzy graphs

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作者： Mandal, Sonia Sahoo, Sankar Ghorai, Ganesh Pal, Madhumangal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore India

In this paper, the embedding of m-polar fuzzy graphs which constructed on the surface of spheres is introduced. The m-polar fuzzy genus graphs with its genus value, strong and weak m-polar fuzzy genus graph are defined. Also isomorphism properties on m-polar fuzzy genus graph are discussed. The relation between planarity value and genus value of m-polar fuzzy graph is established. Euler polyhedral equation is established in terms of genus value of the m-polar fuzzy genus graph. Finally, an application of m-polar fuzzy genus graph is given in topological surface. © 2018 - IOS Press and the authors. All rights reserved.

关键词： Fuzzy sets

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Fuzzy colouring of m -polar fuzzy graph and its application

Fuzzy colouring of m -polar fuzzy graph and its application

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作者： Mahapatra, Tanmoy Pal, Madhumangal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore India

In this article, a new idea of fuzzy coloring of m-polar fuzzy graph is presented while establishing the relationship between chromatic number of m-polar fuzzy graph and it's underlying crisp graph. Some properties of m-polar fuzzy graph and new concepts of independently strong edge and independently weak edge in m-polar fuzzy graph are proved. The differences between fuzzy coloring of fuzzy graph and m-polar fuzzy graph are discussed. It is also shown that a m-polar fuzzy graph can be decomposed into m fuzzy graphs. Again, from m isomorphic fuzzy graph one can construct a m-polar fuzzy graph. A relation among chromatic numbers of m-polar fuzzy graph and m such graphs is established. Lastly a real life application of the fuzzy coloring is discussed. © 2018 - IOS Press and the authors. All rights reserved.

关键词： Fuzzy sets

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Correction to: Multi-item two-stage fixed-charge 4DTP with hybrid random type-2 fuzzy variable

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Soft Computing 2021年第1期26卷 463-463页

作者： Devnath, Sudeshna Giri, Pravash Kumar Mondal, Seema Sarkar Maiti, Manoranjan Department of Mathematics National Institute of Technology Durgapur Durgapur India Department of Mathematics Government General Degree College Kashmuli India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore India

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Correction to: Fully fuzzy multi-item two-stage fixed charge four-dimensional transportation problems with flexible constraints

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Granular Computing 2021年第4期7卷 799-799页

作者： Devnath, Sudeshna Giri, Pravash Kumar Sarkar Mondal, Seema Maiti, Manoranjan Department of Mathematics National Institute of Technology Durgapur Durgapur India Department of Mathematics Government General Degree College Dantan-II Kashmuli India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore India

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Optimum Production for a heaped stock dependent breakable item through variational principle

arXiv

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arXiv 2020年

作者： Roul, J.N. Maity, K. Kar, S. Maiti, M. Patha Bhavana Visva-Bharati SantiniketanWest Bengal731235 India Department of Mathematics Mugberia Gangadhar Mahavidyalaya Bhupatinagar Purba MedinipurW.B.721425 India Department of Mathematics National Institute of Technology DurgapurW.B.713209 India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University MidnaporeW.B.711201 India

Breakability rate of fragile item depends on the accumulated stress of heaped stock level. So breakablility rate can be considered as dependent parameter of stock variable. The unit production cost is a function of production rate and also dependent on raw material cost, development cost and wear-tear cost. The holding cost is assumed to be non-linear, dependent on time. Here optimal control problem for a fragile item under finite time horizon is considered. The profit function which consists of revenue, production and holding costs is formulated as a Fixed-Final Time and Fixed State System(cf. Naidu (2000)[8]) optimal control problem with finite time horizon. Here production rate is unknown and considered as a control variable and stock level is taken as a state variable. It is formulated to optimize the production rate so that total profit is maximum. As particular cases, models are evaluated with and without breakability. The models are solved by using conventional Variational Principle along with the non-linear optimization technique-Generalised Reduced Gradient Method (LINGO 12.0). The optimum results are illustrated both numerically and graphically. Some sensitivity analysis on breakability coefficient are presented. Copyright © 2020, The Authors. All rights reserved.

关键词： Optimal control systems

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