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.
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页码：387 / 404
页数：18
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