Finding minimal solutions to the system of addition-min fuzzy relational inequalities

In the literature, a BitTorrent-like peer-to-peer file-sharing system has been modelled as a system of addition-min fuzzy relational inequalities (FRIs). Finding all minimal solutions of such a system is considered a difficult task because the minimal solutions to addition-min FRIs are usually not u...

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Published inFuzzy optimization and decision making Vol. 21; no. 4; pp. 581 - 603
Main Authors Wu, Yan-Kuen, Wen, Ching-Feng, Hsu, Yuan-Teng, Wang, Ming-Xian
Format Journal Article
LanguageEnglish
Published New York Springer US 01.12.2022
Springer Nature B.V
Subjects
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ISSN1568-4539
1573-2908
DOI10.1007/s10700-021-09377-6

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Abstract In the literature, a BitTorrent-like peer-to-peer file-sharing system has been modelled as a system of addition-min fuzzy relational inequalities (FRIs). Finding all minimal solutions of such a system is considered a difficult task because the minimal solutions to addition-min FRIs are usually not unique and are often infinite in number. In this paper, we study the properties of the minimal solutions of such a system and propose an iterative algorithm to find the minimal solutions for any given solution (included the maximum solution). The proposed algorithm not only finds the minimal solutions efficiently, but also finds many minimal solutions in different iterative sequences of variables.
AbstractList In the literature, a BitTorrent-like peer-to-peer file-sharing system has been modelled as a system of addition-min fuzzy relational inequalities (FRIs). Finding all minimal solutions of such a system is considered a difficult task because the minimal solutions to addition-min FRIs are usually not unique and are often infinite in number. In this paper, we study the properties of the minimal solutions of such a system and propose an iterative algorithm to find the minimal solutions for any given solution (included the maximum solution). The proposed algorithm not only finds the minimal solutions efficiently, but also finds many minimal solutions in different iterative sequences of variables.
Author Hsu, Yuan-Teng
Wang, Ming-Xian
Wu, Yan-Kuen
Wen, Ching-Feng
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  givenname: Ching-Feng
  surname: Wen
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Keywords Iterative algorithm
Minimal solution
Fuzzy relational inequality
Addition-min composition
Language English
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Snippet In the literature, a BitTorrent-like peer-to-peer file-sharing system has been modelled as a system of addition-min fuzzy relational inequalities (FRIs)....
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SubjectTerms Algorithms
Artificial Intelligence
Calculus of Variations and Optimal Control; Optimization
File sharing
Inequalities
Iterative algorithms
Iterative methods
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Peer to peer computing
Probability Theory and Stochastic Processes
Variables
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Title Finding minimal solutions to the system of addition-min fuzzy relational inequalities
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