A new fuzzy multi-objective programming: Entropy based geometric programming and its application of transportation problems

被引：44
|
作者：
Islam, Sahidul [1 ]
Roy, Tapan Kumar [1 ]
机构：
[1] Bengal Engn Coll DU, Dept Math, Howrah 711103, W Bengal, India
来源：
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2006年 / 173卷 / 02期
关键词：
multi-objective programming; transportation; entropy; generalized fuzzy number; geometric programming;
D O I：
10.1016/j.ejor.2005.01.050
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we introduce a fuzzy mathematical programming with generalized fuzzy number as objective coefficients. We also examine a transportation problem with additional restriction. There is an additional entropy objective function in the transportation problem besides transportation cost objective function. Using new fuzzy mathematical programming, this multi-objective entropy transportation problem with generalized trapezoidal fuzzy number costs has been reduced to a primal geometric programming problem. Pareto optimal solution of the transportation model is found. Numerical examples have been provided to illustrate the problem. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：387 / 404
页数：18
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