Geometric Programming Problem with Trapezoidal Fuzzy Variables

Nowadays Geometric Programming (GP) problem is a very popular problem in many fields. Each type of Fuzzy Geometric Programming (FGP) problem has its own solution. Sometimes we need to use the ranking function to change some part of GP to the linear one. In this paper, first, we propose a method to solve multi-objective geometric programming problem with trapezoidal fuzzy variables, then we use ranking function to sole one type of fuzzy geometric programming problem called Monomial Geometric Programming problem with respect to Trapezoidal fuzzy numbers. At the end, with an example we show how FGP is used in our real life. To illustrate the method, we use numerical examples. Keyword: Fuzzy Geometric Programming, Monomial Geometric Programming, Ranking Function, Trapezoidal Fuzzy numbers, Fuzzy shortest path, Platform index T , Multi-Objective function.

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