Fuzzy mathematical programming for multi objective linear fractional programming problem

被引：119

作者：

Chakraborty, M ^{[1
]}

Gupta, S ^{[1
]}

机构：

[1] Indian Sch Mines, Dept Math Appl, Dhanbad 826004, Bihar, India

来源：

FUZZY SETS AND SYSTEMS | 2002年 / 125卷 / 03期

关键词：

multi objective; fractional programming; fuzzy sets; min operator; equivalence;

D O I：

10.1016/S0165-0114(01)00060-4

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The present paper deals with a solution procedure for multi objective linear fractional programming problems. An equivalent multi objective linear programming form of the problem has been formulated in the proposed methodology. Using fuzzy set theoretic approach a procedure has been explored. The proposed solution procedure has also been used to solve numerical examples. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：335 / 342

页数：8

共 18 条

[1] [Anonymous], EUR J OPER RES
[2] Charnes A., 1962, Naval Res Logist Quart, V9, P181, DOI [10.1002/nav.3800090303, DOI 10.1002/NAV.3800090303]
[3] BICRITERIA LINEAR FRACTIONAL-PROGRAMMING
CHOO, EU
ATKINS, DR
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1982, 36 (02) : 203 - 220
[4] Craven B.D., 1988, Fractional Programming, VVolume 4
[5] FRACTIONAL PROGRAMMING AND EQUIVALENCE
CRAVEN, BD
MOND, B
[J]. NAVAL RESEARCH LOGISTICS, 1975, 22 (02) : 405 - 410
[6] A RESTRICTED CLASS OF MULTIOBJECTIVE LINEAR FRACTIONAL-PROGRAMMING PROBLEMS
DUTTA, D
RAO, JR
TIWARI, RN
[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1993, 68 (03) : 352 - 355
[7] MULTIPLE OBJECTIVE LINEAR FRACTIONAL-PROGRAMMING - A FUZZY SET THEORETIC APPROACH
DUTTA, D
TIWARI, RN
RAO, JR
[J]. FUZZY SETS AND SYSTEMS, 1992, 52 (01) : 39 - 45
[8] FUZZY APPROACHES FOR MULTIPLE CRITERIA LINEAR FRACTIONAL OPTIMIZATION - A COMMENT
DUTTA, D
RAO, JR
TIWARI, RN
[J]. FUZZY SETS AND SYSTEMS, 1993, 54 (03) : 347 - 349
[9] A LINEAR-PROGRAMMING APPROACH TO THE CUTTING STOCK PROBLEM .2.
GILMORE, PC
GOMORY, RE
[J]. OPERATIONS RESEARCH, 1963, 11 (06) : 863 - 888
[10] MULTIPLE OBJECTIVE LINEAR FRACTIONAL-PROGRAMMING
KORNBLUTH, JSH
STEUER, RE
[J]. MANAGEMENT SCIENCE, 1981, 27 (09) : 1024 - 1039

← 1 2 →