A new approach for solving intuitionistic fuzzy transportation problem of type-2

被引:50
|
作者
Singh, Sujeet Kumar [1 ]
Yadav, Shiv Prasad [1 ]
机构
[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India
关键词
Triangular intuitionistic fuzzy number; Accuracy function; Intuitionistic fuzzy transportation problem of type-2; Optimal solution;
D O I
10.1007/s10479-014-1724-1
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In solving real life transportation problem, we often face the state of uncertainty as well as hesitation due to various uncontrollable factors. To deal with uncertainty and hesitation many authors have suggested the intuitionistic fuzzy representation for the data. In this paper, we formulate a transportation problem in which costs are triangular intuitionistic fuzzy numbers. We have defined accuracy function using score functions for membership and non membership functions of triangular intuitionistic fuzzy numbers. Then ordering of triangular intuitionistic fuzzy numbers using accuracy function has been proposed. We have utilized this ordering to develop methods for finding starting basic feasible solution in terms of triangular intuitionistic fuzzy numbers. Also the same ordering is utilized to develop intuitionistic fuzzy modified distribution method for finding the optimal solution. Finally the method is illustrated by a numerical example which is followed by graphical representation and discussion of the finding.
引用
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页码:349 / 363
页数:15
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