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
收藏
页码：335 / 342
页数：8
相关论文
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 [J].
CHOO, EU ;
ATKINS, DR .
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 [J].
CRAVEN, BD ;
MOND, B .
NAVAL RESEARCH LOGISTICS, 1975, 22 (02) :405-410
[6]   A RESTRICTED CLASS OF MULTIOBJECTIVE LINEAR FRACTIONAL-PROGRAMMING PROBLEMS [J].
DUTTA, D ;
RAO, JR ;
TIWARI, RN .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1993, 68 (03) :352-355
[7]   MULTIPLE OBJECTIVE LINEAR FRACTIONAL-PROGRAMMING - A FUZZY SET THEORETIC APPROACH [J].
DUTTA, D ;
TIWARI, RN ;
RAO, JR .
FUZZY SETS AND SYSTEMS, 1992, 52 (01) :39-45
[8]   FUZZY APPROACHES FOR MULTIPLE CRITERIA LINEAR FRACTIONAL OPTIMIZATION - A COMMENT [J].
DUTTA, D ;
RAO, JR ;
TIWARI, RN .
FUZZY SETS AND SYSTEMS, 1993, 54 (03) :347-349
[9]   A LINEAR-PROGRAMMING APPROACH TO THE CUTTING STOCK PROBLEM .2. [J].
GILMORE, PC ;
GOMORY, RE .
OPERATIONS RESEARCH, 1963, 11 (06) :863-888
[10]   MULTIPLE OBJECTIVE LINEAR FRACTIONAL-PROGRAMMING [J].
KORNBLUTH, JSH ;
STEUER, RE .
MANAGEMENT SCIENCE, 1981, 27 (09) :1024-1039
12