A New Approach to Solve Multi Objective Linear Programming Problem Under Neutrosophic Environment

In the present era, the idea of nonlinearity plays a crucial and fundamental role in an intuitionistic fuzzy world. The goal of this paper is to develop some novel and valuable concepts for the ability to effectively convey challenging and ambiguous information in real life issues. In order to achie...

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Vydáno v:	International journal of applied and computational mathematics Ročník 9; číslo 6; s. 135
Hlavní autoři:	Biswas, Sanjoy, Dey, Samir
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New Delhi Springer India 01.12.2023 Springer Nature B.V
Témata:	Applications of Mathematics Asymmetry Comparative studies Computational Science and Engineering Decision making Fuzzy sets Inventory control Linear programming Mathematical and Computational Physics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Nonlinearity Nuclear Energy Numbers Operations Research/Decision Theory Optimization techniques Original Paper Pareto optimum Theoretical Uncertainty Uncertainty Multi objective linear programming problem Interval valued Pentagonal intuitionistic fuzzy number De-intuitification Neutrosophic optimization technique
ISSN:	2349-5103, 2199-5796
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Abstract	In the present era, the idea of nonlinearity plays a crucial and fundamental role in an intuitionistic fuzzy world. The goal of this paper is to develop some novel and valuable concepts for the ability to effectively convey challenging and ambiguous information in real life issues. In order to achieve this goal, this work investigated the interval valued pentagonal intuitionistic fuzzy multi-objective linear programming problem under neutrosophic uncertainty. This study provides solutions to such uncertainty and assists in the relative decision-making processes. The major objective of this paper is to develop some novel and useful concepts of nonlinear interval valued pentagonal intuitionistic fuzzy numbers and their classification in different situations. Additionally, the new de-intuitification (Ranking) method is formulated in decision-making by reducing complexions and addresses the graphical illustration. The proposed technique based on neutrosophic fuzzy approaches provides the potential value to decision makers of optimization problems under three distinct membership degrees, such as truth, indeterminacy, and falsity membership degrees. Therefore, this paper implemented methodologies with the help of numerical examples and addressed the effectiveness of several membership functions as linear, parabolic, and hyperbolic types of membership functions. A comparative study of existing approaches has been done to show the efficiency of the proposed approach. Finally, based on suggested study, conclusions and future research directions are discussed.
AbstractList	In the present era, the idea of nonlinearity plays a crucial and fundamental role in an intuitionistic fuzzy world. The goal of this paper is to develop some novel and valuable concepts for the ability to effectively convey challenging and ambiguous information in real life issues. In order to achieve this goal, this work investigated the interval valued pentagonal intuitionistic fuzzy multi-objective linear programming problem under neutrosophic uncertainty. This study provides solutions to such uncertainty and assists in the relative decision-making processes. The major objective of this paper is to develop some novel and useful concepts of nonlinear interval valued pentagonal intuitionistic fuzzy numbers and their classification in different situations. Additionally, the new de-intuitification (Ranking) method is formulated in decision-making by reducing complexions and addresses the graphical illustration. The proposed technique based on neutrosophic fuzzy approaches provides the potential value to decision makers of optimization problems under three distinct membership degrees, such as truth, indeterminacy, and falsity membership degrees. Therefore, this paper implemented methodologies with the help of numerical examples and addressed the effectiveness of several membership functions as linear, parabolic, and hyperbolic types of membership functions. A comparative study of existing approaches has been done to show the efficiency of the proposed approach. Finally, based on suggested study, conclusions and future research directions are discussed. In the present era, the idea of nonlinearity plays a crucial and fundamental role in an intuitionistic fuzzy world. The goal of this paper is to develop some novel and valuable concepts for the ability to effectively convey challenging and ambiguous information in real life issues. In order to achieve this goal, this work investigated the interval valued pentagonal intuitionistic fuzzy multi-objective linear programming problem under neutrosophic uncertainty. This study provides solutions to such uncertainty and assists in the relative decision-making processes. The major objective of this paper is to develop some novel and useful concepts of nonlinear interval valued pentagonal intuitionistic fuzzy numbers and their classification in different situations. Additionally, the new de-intuitification (Ranking) method is formulated in decision-making by reducing complexions and addresses the graphical illustration. The proposed technique based on neutrosophic fuzzy approaches provides the potential value to decision makers of optimization problems under three distinct membership degrees, such as truth, indeterminacy, and falsity membership degrees. Therefore, this paper implemented methodologies with the help of numerical examples and addressed the effectiveness of several membership functions as linear, parabolic, and hyperbolic types of membership functions. A comparative study of existing approaches has been done to show the efficiency of the proposed approach. Finally, based on suggested study, conclusions and future research directions are discussed.
ArticleNumber	135
Author	Dey, Samir Biswas, Sanjoy
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Cites_doi	10.37622/AFM/12.3.2017.411-438 10.1142/S1793005718500229 10.1109/ACCESS.2019.2929266 10.1007/s40815-019-00756-1 10.1109/TSMC.1972.5408553 10.1016/S0165-0114(96)00272-2 10.1109/TCE.2022.3226819 10.1016/S0165-0114(86)80034-3 10.1007/s41066-020-00212-8 10.13189/ms.2014.020202 10.3390/sym10080327 10.1039/C5RA13043C 10.1057/s41274-017-0190-y 10.1016/S0019-9958(65)90241-X 10.1016/j.ins.2023.119163 10.31181/dmame0311072022b 10.31181/dmame24022023b 10.1016/j.mcm.2006.04.014 10.1016/0165-0114(89)90205-4 10.1016/j.camwa.2004.11.022 10.1016/S0165-0114(96)00368-5 10.3390/sym11020248 10.1287/mnsc.17.4.B141 10.3846/20294913.2014.989931 10.1051/ro/2018114 10.1016/j.asoc.2023.110088 10.1007/s10479-017-2551-y 10.1016/j.eswa.2018.02.038 10.1016/j.ins.2017.05.016 10.1016/j.asoc.2015.10.040 10.1109/TFUZZ.2009.2029569 10.1142/S0219622014500722 10.37622/AFM/12.3.2017.549-575 10.1016/S0165-0114(96)00009-7 10.26637/mjm301/012
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SubjectTerms	Applications of Mathematics Asymmetry Comparative studies Computational Science and Engineering Decision making Fuzzy sets Inventory control Linear programming Mathematical and Computational Physics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Nonlinearity Nuclear Energy Numbers Operations Research/Decision Theory Optimization techniques Original Paper Pareto optimum Theoretical Uncertainty
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Title	A New Approach to Solve Multi Objective Linear Programming Problem Under Neutrosophic Environment
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