Extended pareto optimality concept for multiobjective linear programming problems with fuzzy parameters and its properties

Masatoshi Sakawa, Junya Takahashi, Hitoshi Yano

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In order to handle multiobjective linear programming problems containing fuzzy parameters, the authors have already proposed four kinds of α‐feasibility and β‐Pareto optimality, based on the four kinds of index introduced by Dubois et al. This paper discusses the proposed concepts of four kinds of β‐Pareto optimality in further detail, in order to indicate problems with β‐Pareto optimality. As a means of coping with those problems, four kinds of γ‐Pareto optimal solutions are introduced. Then the concept of (α, γ)‐Pareto optimal solution is introduced, by considering simultaneously the α‐feasibility and the γ‐Pareto optimality. It is shown that the set of (α, γ)‐Pareto optimal solutions, which can be regarded as the most optimistic and the most pessimistic, can be found using linear programming.

Original languageEnglish
Pages (from-to)1-9
Number of pages9
JournalElectronics and Communications in Japan (Part III: Fundamental Electronic Science)
Volume73
Issue number9
DOIs
Publication statusPublished - 1990
Externally publishedYes

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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