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Intuitionistic fuzzy multi-objective linear programming problem with various membership functions

delete2017-05-31
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PRE
AI
S
Sujeet Kumar Singh *
S
Shiv Prasad Yadav
DOI:10.1007/s10479-017-2551-ydelete
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摘要

摘要

En 中文
This study addresses intuitionistic fuzzy multi-objective linear programming problems using triangular intuitionistic fuzzy numbers with mixed constraints. We convert the problem into single objective fuzzy programming problem. Then using different types of membership functions (linear and nonlinear), we transform the problem into crisp linear/non-linear programming problem, which is solved by suitable crisp programming approaches. The methodology is demonstrated with the help of a numerical example and the usefulness of various membership functions is discussed.
Keyword:
Intuitionistic fuzzy number
Membership function
Multi-objective linear programming problem

期刊

Annals of Operations Research 封面图
Annals of Operations Research
IF:
4.5
论文数:
8.1K
被引数:
2.1W

机构

I
indian institute of technology system (iit system)
学者数:
9.5W
论文数: 9.9W
被引数: 93
N
National University of Singapore
学者数:
7.6W
论文数: 6.5W
被引数: 11.4W
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