DOAJ Open Access 2022

Fuzzy harmonic mean technique for solving fully fuzzy multilevel multiobjective linear programming problems

E. Fathy A.E. Hassanien

Abstrak

This paper illustrates how the fuzzy harmonic mean technique can efficiently solve fully fuzzy multilevel multiobjective linear programming (FFMMLP) problems. First, at each level, the FFMMLP problem can be converted into three crisp multiobjective linear programming (CMLP) problems using the crisp linear technique. Then, the fuzzy harmonic mean technique is utilized to aggregate each crisp problem's multiobjective into a single objective. Second, the ensuing final, single-objective problem is constructed using the harmonic mean for each level. Finally, it is solved to obtain a fuzzy compromise solution for the FFMMLP problem in general. Two examples are given to obtain the application of the proposed method. One example is applying the proposed approach to a multilevel multiobjective production planning model for a supply chain under a fully fuzzy environment.

Topik & Kata Kunci

Engineering (General). Civil engineering (General)

Penulis (2)

E. Fathy

A.E. Hassanien

Format Sitasi

APA MLA BibTeX

Fathy, E., Hassanien, A. (2022). Fuzzy harmonic mean technique for solving fully fuzzy multilevel multiobjective linear programming problems. https://doi.org/10.1016/j.aej.2022.01.021

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.1016/j.aej.2022.01.021
Akses: Open Access ✓