Authors: Masatoshi Sakawa; Takeshi Matsui
Addresses: Department of System Cybernetics, Graduate School of Engineering, Higashi-Hiroshima, 739-8527, Japan ' Department of System Cybernetics, Graduate School of Engineering, Higashi-Hiroshima, 739-8527, Japan
Abstract: This paper considers multiobjective linear programming problems involving random variables in constraints. Using the concept of simple recourse, the formulated multiobjective stochastic programming problems with simple recourse are transformed into deterministic ones. Taking into account vagueness of judgments of the decision maker, interactive fuzzy programming is presented. In the proposed method, after determining the fuzzy goals of the decision maker, a satisficing solution for the decision maker is derived efficiently by updating the reference membership levels. Extensions to integer programming are also considered. An illustrative numerical example is provided to demonstrate the feasibility and efficiency of the proposed method.
Keywords: multiobjective programming; stochastic programming; fuzzy programming; interactive methods; simple recourse model; random variables; constraints; judgment vagueness; decision making.
International Journal of Multicriteria Decision Making, 2014 Vol.4 No.1, pp.31 - 46
Received: 24 May 2012
Accepted: 19 Dec 2012
Published online: 22 Mar 2014 *