Multiobjective entropy transportation model with trapezoidal fuzzy number penalties, sources, and destinations

被引:26
作者
Samanta, B [1 ]
Roy, TK
机构
[1] Haldia Inst Technol, Dept Math, Haldia 721657, W Bengal, India
[2] Bengal Engn Coll, Dept Math, Howrah 711103, W Bengal, India
关键词
Entropy; Fuzzy sets; Linear programming; Transportation models;
D O I
10.1061/(ASCE)0733-947X(2005)131:6(419)
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
In this paper, we have considered a multiobjective transportation problem with an additional entropy objective function. Here the cost coefficients of objective functions, the source, and destination parameters are trapezoidal fuzzy numbers. Entropy objective function in transportation problem is used by Shannon's measure of entropy and this multiobjective transportation problem has been solved by the fuzzy programming technique. A numerical example has been provided to illustrate the solution procedure of the original problem.
引用
收藏
页码:419 / 428
页数:10
相关论文
共 14 条
[1]  
[Anonymous], 1992, Entropy Optimization Principle with Applications
[2]   FUZZY-PROGRAMMING APPROACH TO MULTICRITERIA DECISION-MAKING TRANSPORTATION PROBLEM [J].
BIT, AK ;
BISWAL, MP ;
ALAM, SS .
FUZZY SETS AND SYSTEMS, 1992, 50 (02) :135-141
[3]   A concept of the optimal solution of the transportation problem with fuzzy cost coefficients [J].
Chanas, S ;
Kuchta, D .
FUZZY SETS AND SYSTEMS, 1996, 82 (03) :299-305
[4]  
Fang S. C., 1997, ENTROPY OPTIMIZATION
[6]  
Kapur J. N., 1993, Maximum-Entropy Models in Science and Engineering
[7]  
Lai Y-J, 1994, FUZZY MULTI OBJECTIV
[8]  
Lee S. M., 1973, AIIE Transactions, V5, P333, DOI 10.1080/05695557308974920
[9]  
MIETTINEN MK, 1999, NONLINEAR MULTI OBJE
[10]   INTERACTIVE SOLUTIONS FOR THE LINEAR MULTIOBJECTIVE TRANSPORTATION PROBLEM [J].
RINGUEST, JL ;
RINKS, DB .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1987, 32 (01) :96-106