Fully fuzzy fractional posynomial geometric programming problem and its application

This paper proposes a fractional posynomial geometric programming problem with positive fuzzy coefficient in the numerator and denominator of objective function and constraint function, where each constraint function is a convex fuzzy-valued posynomial function. In order to defuzzify the problem the concept of alpha-level set of a fuzzy number is given. By using concept of non-dominated solution, we investigate the solution concept of interval-valued fractional posynomial geometric programming problem. In addition, utilizing the relationship between fractional programming and parametric programming, we transform the problem into a convex programming problem. An algorithm to be proposed for globally solving the original problem and theoretical developments are illustrated through an application example in manufacturing.

کلیدواژه ها:

Geometric programming ، posynomial geometric programming ، fractional posynomial geometric programming ، fully fuzzy fractional posynomial geometric programming