On fuzzy solution of a linear optimization problem with max-aggregation function relation inequality constraints

Crisp constraints in the case of linear optimization problem linked to max-aggregation function composition as rule may result in unsatisfactory solution. We propose and discuss a method of getting more feasible solutions, relaxing crisp inequalities/extremes by means of fuzzy sets.

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Bibliographic Details
Published in:Annals of operations research Vol. 269; no. 1-2; pp. 521 - 533
Main Authors: Mesiar, Radko, Kouchakinejad, Fateme, Šipošová, Alexandra
Format: Journal Article
Language:English
Published: New York Springer US 01.10.2018
Springer
Springer Nature B.V
Subjects:
Agglomeration
Business and Management
Combinatorics
Fuzzy control
Fuzzy sets
Management science
Mathematical research
Operations research
Operations Research/Decision Theory
Optimization
Optimization theory
Raota-2016
Studies
Theory of Computation
Max-aggregation function composition
Fuzzy solution
Fuzzy inequality
Linear objective function optimization
Fuzzy relation inequalities
ISSN:0254-5330, 1572-9338
Online Access:Get full text
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Summary:Crisp constraints in the case of linear optimization problem linked to max-aggregation function composition as rule may result in unsatisfactory solution. We propose and discuss a method of getting more feasible solutions, relaxing crisp inequalities/extremes by means of fuzzy sets.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-017-2483-6