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Optimization of LR-Type Fully Bipolar Fuzzy Linear Programming Problems

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

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.

Suggested Citation

  • Muhammad Athar Mehmood & Muhammad Akram & Majed G. Alharbi & Shahida Bashir & Naeem Jan, 2021. "Optimization of LR-Type Fully Bipolar Fuzzy Linear Programming Problems," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-36, July.
    • Handle: RePEc:hin:jnlmpe:1199336
    DOI: 10.1155/2021/1199336
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