Optimization of LR-Type Fully Bipolar Fuzzy Linear Programming Problems

In this study, we present a technique to solve LR-type fully bipolar fuzzy linear programming problems (FBFLPPs) with equality constraints. We define LR-type bipolar fuzzy numbers and their arithmetic operations. We discuss multiplication of LR-type bipolar fuzzy numbers. Furthermore, we develop a m...

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Bibliographic Details
Published in:Mathematical problems in engineering Vol. 2021; pp. 1 - 36
Main Authors: Mehmood, Muhammad Athar, Akram, Muhammad, Alharbi, Majed G., Bashir, Shahida
Format: Journal Article
Language:English
Published: New York Hindawi 02.07.2021
John Wiley & Sons, Inc
Subjects:
Decision making
Equality
Fuzzy sets
Linear programming
Mathematical problems
Mathematical programming
Multiplication
Optimization
ISSN:1024-123X, 1563-5147
Online Access:Get full text
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Summary:In this study, we present a technique to solve LR-type fully bipolar fuzzy linear programming problems (FBFLPPs) with equality constraints. We define LR-type bipolar fuzzy numbers and their arithmetic operations. We discuss multiplication of LR-type bipolar fuzzy numbers. Furthermore, we develop a method to solve LR-type FBFLPPs with equality constraints involving LR-type bipolar fuzzy numbers as parameters and variables. Moreover, we define ranking for LR-type bipolar fuzzy numbers which transform the LR-type FBFLPP into a crisp linear programming problem. Finally, we consider numerical examples to illustrate the proposed method.
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ISSN:1024-123X
1563-5147
DOI:10.1155/2021/1199336