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

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...

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Vydáno v:Annals of operations research Ročník 269; číslo 1-2; s. 693 - 707
Hlavní autoři: Singh, Sujeet Kumar, Yadav, Shiv Prasad
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.10.2018
Springer
Springer Nature B.V
Témata:
Business and Management
Combinatorics
Fuzzy logic
Linear programming
Mathematical programming
Methods
Multiple objective analysis
Nonlinear programming
Operations research
Operations Research/Decision Theory
Raota-2016
Studies
Theory of Computation
Membership function
Multi-objective linear programming problem
Intuitionistic fuzzy number
ISSN:0254-5330, 1572-9338
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-017-2551-y