Title
Pareto optimality for multiobjective linear fractional programming problems with fuzzy parameters
Abstract
We focus on multiobjective linear fractional programming problems with fuzzy parameters and extend the ordinary Pareto optimality concepts based on the concepts of possibility and necessity for fuzzy numbers. Using the four indices for ranking two fuzzy numbers, four types of Pareto optimality are defined, and the relationships among them are examined in detail. These concepts can be viewed as quite generalized versions of the well-known Pareto optimality concepts, and the generalized Pareto optimal solutions for the multiobjective linear fractional programming problems with fuzzy parameters may be obtained on the basis of the simplex method of linear programming.
Year
DOI
Venue
1992
10.1016/0020-0255(92)90061-C
Inf. Sci.
Keywords
Field
DocType
fuzzy parameter,pareto optimality,multiobjective linear fractional programming,fractional programming
Linear-fractional programming,Mathematical optimization,Simplex algorithm,Fuzzy logic,Linear programming,Fuzzy control system,Fuzzy number,Mathematics,Fractional programming,Pareto principle
Journal
Volume
Issue
ISSN
63
1-2
0020-0255
Citations 
PageRank 
References 
9
3.78
1
Authors
3
Name
Order
Citations
PageRank
Masatoshi Sakawa11123146.27
Hitoshi Yano24110.39
Jun-ya Takahashi3809.82