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

共 13 条

[1]

Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141

[2] Computing improved optimal solutions to max-min flexible constraint satisfaction problems [J].

Dubois, D ;

Fortemps, P .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1999, 118 (01) :95-126

[3]

Guu SM, 1999, FUZZY SET SYST, V107, P191, DOI 10.1016/S0165-0114(97)00304-7

[4] Weighted coefficients in two-phase approach for solving the multiple objective programming problems [J].

Guu, SM ;

Wu, YK .

FUZZY SETS AND SYSTEMS, 1997, 85 (01) :45-48

[5] A SOLUTION ALGORITHM FOR FUZZY LINEAR-PROGRAMMING WITH PIECEWISE LINEAR MEMBERSHIP FUNCTIONS [J].

INUIGUCHI, M ;

ICHIHASHI, H ;

KUME, Y .

FUZZY SETS AND SYSTEMS, 1990, 34 (01) :15-31

[6] Approximate resolution of an imprecise goal programming model with nonlinear membership functions [J].

Jiménez, M ;

Arenas, M ;

Bilbao, A ;

Uría, MVR .

FUZZY SETS AND SYSTEMS, 2005, 150 (01) :129-145

[7] INTERACTIVE SEQUENTIAL GOAL PROGRAMMING [J].

MASUD, AS ;

HWANG, CL .

JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 1981, 32 (05) :391-400

[8]

Romero C., 1991, Handbook of Critical Issues in Goal Programming

[9] AN INTERACTIVE FUZZY SATISFICING METHOD FOR MULTIOBJECTIVE LINEAR-PROGRAMMING PROBLEMS AND ITS APPLICATION [J].

SAKAWA, M ;

YANO, H ;

YUMINE, T .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1987, 17 (04) :654-661

[10] INTERACTIVE FUZZY DECISION-MAKING FOR MULTIOBJECTIVE NONLINEAR-PROGRAMMING USING AUGMENTED MINIMAX PROBLEMS [J].

SAKAWA, M ;

YANO, H .

FUZZY SETS AND SYSTEMS, 1986, 20 (01) :31-43

← 1 2 →