Interactive multiobjective random fuzzy programming problems through the possibility-based fractile model

Author

Katagiri, H. ; Sakawa, M. ; Matsui, T.

Author_Institution

Grad. Sch. of Eng., Hiroshima Univ., Higashi-Hiroshima, Japan

fYear

2011

fDate

9-12 Oct. 2011

Firstpage

3144

Lastpage

3148

Abstract

This paper considers multiobjective linear programming problems where each coefficient of the objective functions is expressed by a random fuzzy variable. A new decision making model is proposed by incorporating the concept of fractile optimization into a possibilistic programming model in order to maximize both of possibility and probability with respect to the objective function values. An interactive algorithm is constructed to obtain a satisficing solution for a decision maker from among a set of Pareto optimal solutions.

Keywords

Pareto optimisation; decision making; fuzzy set theory; linear programming; Pareto optimal solution; decision making model; fractile optimization concept; multiobjective linear programming; multiobjective random fuzzy programming; possibilistic programming model; possibility-based fractile model; random fuzzy variable; Delta modulation; Fuzzy sets; Pareto optimization; Programming; Random variables; Stochastic processes; Vectors; fractile criterion optimization; interactive algorithm; multiobjective programming; possibility measure; random fuzzy variable;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man, and Cybernetics (SMC), 2011 IEEE International Conference on

Conference_Location

Anchorage, AK

ISSN

1062-922X

Print_ISBN

978-1-4577-0652-3

Type

conf

DOI

10.1109/ICSMC.2011.6084143

Filename

6084143