Advances in Fuzzy Systems (Jan 2018)

A Direct Method to Compare Bipolar LR Fuzzy Numbers

  • Reza Ghanbari,
  • Khatere Ghorbani-Moghadam,
  • Nezam Mahdavi-Amiri

DOI
https://doi.org/10.1155/2018/9578270
Journal volume & issue
Vol. 2018

Abstract

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We propose a new method for ordering bipolar fuzzy numbers. In this method, for comparison of bipolar LR fuzzy numbers, we use an extension of Kerre’s method being used in ordering of unipolar fuzzy numbers. We give a direct formula to compare two bipolar triangular fuzzy numbers in O(1) operations, making the process useful for many optimization algorithms. Also, we present an application of bipolar fuzzy number in a real life problem.