Pareto-optimal solutions in fuzzy multi-objective linear programming

被引：75

作者：

Jimenez, Mariano ^{[1
]}

Bilbao, Amelia ^{[2
]}

机构：

[1] Univ Basque Country, Dpto Econ Aplicada 1, San Sebastian, Spain

[2] Univ Oviedo, Dpto Econ Cuantitat, E-33006 Oviedo, Spain

来源：

FUZZY SETS AND SYSTEMS | 2009年 / 160卷 / 18期

关键词：

Multi-objective programming; Goal programming; Fuzzy mathematical programming; Fuzzy-efficient solution; Pareto-optimal solution; Two-phase method; MEMBERSHIP FUNCTIONS; 2-PHASE APPROACH;

D O I：

10.1016/j.fss.2008.12.005

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The problem of solving multi-objective linear-programming problems, by assuming that the decision maker has fuzzy goals for each of the objective functions, is addressed. Several methods have been proposed in the literature in order to obtain fuzzy-efficient solutions to fuzzy multi-objective programming problems. In this paper we show that, in the case that one of our goals is fully achieved, a fuzzy-efficient solution may not be Pareto-optimal and therefore we propose a general procedure to obtain a non-dominated solution, which is also fuzzy-efficient. Two numerical examples illustrate our procedure. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：2714 / 2721

页数：8

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