Optimization of LR-Type Fully Bipolar Fuzzy Linear Programming Problems

Muhammad Athar Mehmood, Muhammad Akram, Majed G. Alharbi, Shahida Bashir and Naeem Jan

Mathematical Problems in Engineering, 2021, vol. 2021, 1-36

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:1199336

DOI: 10.1155/2021/1199336

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