Bi-level multiobjective geometric programming (BL-MOGP) problem under fuzziness

Abstract

Geometric programming (GP) problem is a powerful tool for solving some special type nonlinear programming problems. In this paper, we have developed a method to solve bilevel multiobjective geometric programming (BL-MOGP) problem under fuzziness. We shall describe the fuzzy optimization approach through geometric programming technique in order to solve (BL-MOGP) problem. Also the concepts of tolerance membership function and multiobjective optimization at each level are used to find a compromise solution. The solution procedure of the fuzzy approach is illustrated by a numerical example.