Comparison of fuzzy numbers using possibility programming: Comments and new concepts

被引：32

作者：

Iskander, MG ^{[1
]}

机构：

[1] American Univ, Dept Econ, Cairo, Egypt

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2002年 / 43卷 / 6-7期

关键词：

possibility programming; fuzzy linear programming; fuzzy multiobjective programming;

D O I：

10.1016/S0898-1221(01)00324-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Comparing fuzzy numbers, using the possibility programming approach, was presented by Negi and Lee [1]. In this paper, we are going to state some comments concerning their approach. The case of comparing different fuzzy numbers is considered. Also, the formulation of the crisp problem in the case of fuzzy linear programming and fuzzy multiobjective linear programming is discussed, and a new modified model, in each case, is stated. Our proposed approach is illustrated by numerical examples. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：833 / 840

页数：8

共 10 条

[1]

[Anonymous], 1996, J FUZZY MATH

[2]

[Anonymous], GAMS USERS GUIDE GAM

[3] A REVIEW OF SOME METHODS FOR RANKING FUZZY SUBSETS [J].

BORTOLAN, G ;

DEGANI, R .

FUZZY SETS AND SYSTEMS, 1985, 15 (01) :1-19

[4]

Hannan EL., 1981, DECISION SCI, V12, P522, DOI DOI 10.1111/J.1540-5915.1981.TB00102.X

[5]

HANNAN EL, 1982, DECISION SCI, V13, P337

[6]

Ignizio JP, 1982, DECIS SCI, V13, P331, DOI DOI 10.1111/J.1540-5915.1982.TB00152.X

[7]

Klir G, 1995, Fuzzy Sets and Fuzzy Logic: Theory and Applications, V4

[8] POSSIBILITY PROGRAMMING BY THE COMPARISON OF FUZZY NUMBERS [J].

NEGI, DS ;

LEE, ES .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1993, 25 (09) :43-50

[9]

Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3

[10] FUZZY MATHEMATICAL-PROGRAMMING [J].

ZIMMERMANN, HJ .

COMPUTERS & OPERATIONS RESEARCH, 1983, 10 (04) :291-298

← 1 →