Solving geometric programming problems with fuzzy random variable coefficients

Article type: Research Article

Authors: Chakraborty, Debjani^*

Affiliations: Department of Mathematics, Indian Institute of Technology Kharagpur, India

Correspondence: [*] Corresponding author. Debjani Chakraborty, Department of Mathematics, Indian Institute of Technology Kharagpur, India.[email protected].

Abstract: Geometric programming problem is a special class of nonlinear programming problem which deals with posynomial type functions. However, the parameters of the problem are sometimes uncertain in nature. Two kinds of uncertainty, fuzziness and randomness, do exist simultaneously in real decision situation. One of the way to model such situation with fuzzy random variable. In this paper, posynomial geometric programming problem with fuzzy random variable coefficients is studied. A fuzzy two stage stochastic programming technique has been developed to handle fuzzy random variable. A numerical example is solved to illustrate the methodology.

Keywords: Fuzzy random variable, fuzzy geometric programming problem, two stage stochastic programming, fuzzy inequality

DOI: 10.3233/IFS-141528

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 6, pp. 2493-2499, 2015