Abstract

Fully Fuzzy Multi-Objective Linear Programming and its applications are getting more interest in the last few years. In this problem, the variables, coefficients, and indices are represented by fuzzy numbers, many types of fuzzy numbers have been used. In this paper, a more practical type of fuzzy number is used to represent fuzziness and approximated fuzzy numbers by n-polygonal fuzzy number, a more generalized form to some of the fuzzy number types that are mostly used in the literature. Based on the max-min operator and binary operations of n-polygonal fuzzy number that have been defined recently, we develop an algorithm that provides a fuzzy Pareto optimal solution for the given problem. The proposed method is implemented on numerical examples, the numerical results indicate that the proposed method gives better solutions compared with the previous methods.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 6
Year: 2022

DOI: 10.12732/ijam.v35i6.9

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