zbMATH — the first resource for mathematics

Fuzzy unconstrained parametric geometric programming problem and its application. (English) Zbl 1356.90174
Summary: In this paper, we have proposed fuzzy unconstrained geometric programming (GP) problem and modified geometric programming (MGP) problem with negative or positive integral degree of difficulty. Geometric programming technique provides a powerful tool for solving optimization problems. Here we use nearest interval approximation method to convert a triangular fuzzy number to an interval number. In this paper, we transform this interval number to a parametric interval-valued functional form and then solve the parametric problem by geometric programming technique. Here some necessary theorems have been derived. Finally, these are illustrated by numerical examples and applications.
90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
90C90 Applications of mathematical programming
Full Text: DOI