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

被引：49

作者：

Singh, Sujeet Kumar ^{[1
]}

Yadav, Shiv Prasad ^{[2
]}

机构：

[1] Natl Univ Singapore, Logist Inst Asia Pacific, Singapore 119613, Singapore

[2] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India

来源：

ANNALS OF OPERATIONS RESEARCH | 2018年 / 269卷 / 1-2期

关键词：

Intuitionistic fuzzy number; Membership function; Multi-objective linear programming problem; TRANSPORTATION PROBLEM; DECISION-MAKING; OPTIMIZATION; INTERVAL; ENVIRONMENT; PARAMETERS; DUALITY; NUMBERS; MODEL;

D O I：

10.1007/s10479-017-2551-y

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：

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.

引用

页码：693 / 707

页数：15

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