An interactive satisficing method for multiobjective random fuzzy programming problems through the possibility-based probability model

Author

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

Author_Institution

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

fYear

2011

fDate

27-30 June 2011

Firstpage

1778

Lastpage

1782

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 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; possibility theory; probability; Pareto optimal solutions; decision making model; interactive satisficing method; multiobjective linear programming problems; multiobjective random fuzzy programming problems; objective function values; possibility-based probability model; random fuzzy variable; Decision making; Delta modulation; Fuzzy sets; Pareto optimization; Programming; Random variables; Stochastic processes; interactive algorithm; multiobjective programming; possibility measure; probability maximization; random fuzzy variable;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems (FUZZ), 2011 IEEE International Conference on

Conference_Location

Taipei

ISSN

1098-7584

Print_ISBN

978-1-4244-7315-1

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZY.2011.6007441

Filename

6007441