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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Published in:International journal of applied and computational mathematics Vol. 9; no. 6; p. 135
Main Authors: Biswas, Sanjoy, Dey, Samir
Format: Journal Article
Language:English
Published: New Delhi Springer India 01.12.2023
Springer Nature B.V
Subjects:
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
Online Access:Get full text
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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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Keywords Uncertainty
Multi objective linear programming problem
Interval valued Pentagonal intuitionistic fuzzy number
De-intuitification
Neutrosophic optimization technique
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Snippet 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...
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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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