Multiple objective optimization for systems with addition–min fuzzy relational inequalities

Fuzzy relational inequalities with addition–min composition have been proposed to model the data transmission mechanism in a BitTorrent-like peer-to-peer file-sharing system. In this paper, we consider a multiple objective optimization problem which allows system manager to consider three objectives...

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Published inFuzzy optimization and decision making Vol. 18; no. 4; pp. 529 - 544
Main Authors Guu, Sy-Ming, Wu, Yan-Kuen
Format Journal Article
LanguageEnglish
Published New York Springer US 01.12.2019
Springer Nature B.V
Subjects
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ISSN1568-4539
1573-2908
DOI10.1007/s10700-019-09306-8

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Abstract Fuzzy relational inequalities with addition–min composition have been proposed to model the data transmission mechanism in a BitTorrent-like peer-to-peer file-sharing system. In this paper, we consider a multiple objective optimization problem which allows system manager to consider three objectives (system congestion, cost, and penalty) simultaneously. A quadratic program is then proposed for finding its efficient solutions. Numerical examples are given to illustrate the procedures of the quadratic programming approach.
AbstractList Fuzzy relational inequalities with addition–min composition have been proposed to model the data transmission mechanism in a BitTorrent-like peer-to-peer file-sharing system. In this paper, we consider a multiple objective optimization problem which allows system manager to consider three objectives (system congestion, cost, and penalty) simultaneously. A quadratic program is then proposed for finding its efficient solutions. Numerical examples are given to illustrate the procedures of the quadratic programming approach.
Author Wu, Yan-Kuen
Guu, Sy-Ming
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Issue 4
Keywords Fuzzy relational inequalities
Cost of transmission
Network congestion
Quadratic programming approach
Penalty cost
Addition–min composition
Language English
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Snippet Fuzzy relational inequalities with addition–min composition have been proposed to model the data transmission mechanism in a BitTorrent-like peer-to-peer...
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SubjectTerms Artificial Intelligence
Calculus of Variations and Optimal Control; Optimization
Data transmission
Fuzzy systems
Inequalities
Mathematical Logic and Foundations
Mathematical models
Mathematics
Mathematics and Statistics
Multiple objective analysis
Nonlinear programming
Operations Research/Decision Theory
Optimization
Peer to peer computing
Probability Theory and Stochastic Processes
Quadratic programming
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Title Multiple objective optimization for systems with addition–min fuzzy relational inequalities
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