Solving the generalized trapezoidal fuzzy number linear programming problem

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Tedi Dewanto, Karyati, Emut, Agus Maman Abadi

2022 AIP Conference Proceedings Vol. 2575 Conference paper Cited by 1 Quartile

Abstract

This research was aimed to determine a ranking function of generalized trapezoidal fuzzy number and the optimum solution of a generalized trapezoidal fuzzy numbers linear programming problem using generalized fuzzy simplex method. The results of this research: we have defined a ranking function of thegeneralized trapezoidal fuzzy numbers Ä = (a, b, α, β; ω) is ℜ(Ä) = ω2 (a + b +12(β - α)). Based on this definition, we have constructed an algorithm to solve the generalized trapezoidal fuzzy numbers linear programming problem that is called as generalized fuzzy simplex method. © 2022 Author(s).

Affiliations

Department of Mathematics Education, Universitas Negeri Yogyakarta, Yogyakarta, Indonesia