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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Abstract 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.
AbstractList 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.
Audience Academic
Author Kouchakinejad, Fateme
Šipošová, Alexandra
Mesiar, Radko
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  surname: Kouchakinejad
  fullname: Kouchakinejad, Fateme
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  givenname: Alexandra
  surname: Šipošová
  fullname: Šipošová, Alexandra
  organization: Faculty of Civil Engineering, Slovak University of Technology
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CitedBy_id crossref_primary_10_1016_j_asoc_2023_111157
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Cites_doi 10.1007/978-1-4899-1633-4
10.1017/CBO9781139644150
10.1016/j.ins.2003.05.007
10.1016/S0165-0114(99)00117-7
10.1016/j.ins.2007.07.022
10.1016/j.ins.2007.04.006
10.3233/IFS-141361
10.1287/mnsc.17.4.B141
ContentType Journal Article
Copyright Springer Science+Business Media New York 2017
COPYRIGHT 2018 Springer
Annals of Operations Research is a copyright of Springer, (2017). All Rights Reserved.
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Keywords Max-aggregation function composition
Fuzzy solution
Fuzzy inequality
Linear objective function optimization
Fuzzy relation inequalities
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Snippet Crisp constraints in the case of linear optimization problem linked to max-aggregation function composition as rule may result in unsatisfactory solution. We...
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SubjectTerms 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
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Title On fuzzy solution of a linear optimization problem with max-aggregation function relation inequality constraints
URI https://link.springer.com/article/10.1007/s10479-017-2483-6
https://www.proquest.com/docview/2095158445
Volume 269
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