Fuzzy linear programming with grade of satisfaction in each constraint

Author

Nakamura, Setsuko ; Kosaka, Ken-ichi ; Kawaguchi, Mayuka F. ; Nonaka, Hidetoshi ; Da-Te, Tsutomu

Author_Institution

Fac. of Eng., Hokkaido Univ., Sapporo, Japan

Volume

2

fYear

1995

fDate

20-24 Mar 1995

Firstpage

781

Abstract

The authors introduce and modify a method for fuzzy linear programming (FLP) in which each constraint has a different grade of satisfaction. The FLP problem dealt with in the paper has fuzzy coefficients in its constraints. The fuzzy constraints can be expressed by four feasibility indices introduced by Dubois (1987) derived from four ranking indices of fuzzy numbers. A decision maker (DM) can assign the grades to the constraints by giving α different values. The authors propose a modified method in which the grade is given as a fuzzy set on the unit closed interval [0, 1] reflecting human imprecision. In the authors´ method, several optimal solutions are calculated, for a DM to choose from

Keywords

decision theory; fuzzy set theory; linear programming; decision maker; feasibility indices; fuzzy coefficients; fuzzy constraints; fuzzy linear programming; fuzzy numbers; fuzzy set; human imprecision; satisfaction grade; Delta modulation; Fuzzy sets; Humans; Linear programming; Possibility theory; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 1995. International Joint Conference of the Fourth IEEE International Conference on Fuzzy Systems and The Second International Fuzzy Engineering Symposium., Proceedings of 1995 IEEE Int

Conference_Location

Yokohama

Print_ISBN

0-7803-2461-7

Type

conf

DOI

10.1109/FUZZY.1995.409771

Filename

409771