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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Bibliographic Details
Published in:Annals of operations research Vol. 269; no. 1-2; pp. 693 - 707
Main Authors: Singh, Sujeet Kumar, Yadav, Shiv Prasad
Format: Journal Article
Language:English
Published: New York Springer US 01.10.2018
Springer
Springer Nature B.V
Subjects:
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
Online Access:Get full text
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Summary: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.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-017-2551-y