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 in | Fuzzy optimization and decision making Vol. 21; no. 4; pp. 581 - 603 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Springer US
01.12.2022
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1568-4539 1573-2908 |
| DOI | 10.1007/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. |
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| 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 |
| Author_xml | – sequence: 1 givenname: Yan-Kuen orcidid: 0000-0001-7788-8157 surname: Wu fullname: Wu, Yan-Kuen organization: School of International Business, Shaoxing Key Laboratory of Intelligent Monitoring and Prevention of Smart City, Zhejiang Yuexiu University of Foreign Languages – sequence: 2 givenname: Ching-Feng surname: Wen fullname: Wen, Ching-Feng email: cfwen@kmu.edu.tw organization: Center for Fundamental Science and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Department of Medical Research, Kaohsiung Medical University Hospital – sequence: 3 givenname: Yuan-Teng surname: Hsu fullname: Hsu, Yuan-Teng organization: Research Center of Finance, Shanghai Business School – sequence: 4 givenname: Ming-Xian surname: Wang fullname: Wang, Ming-Xian organization: School of International Business, Zhejiang Yuexiu University of Foreign Languages |
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| CitedBy_id | crossref_primary_10_1109_TFUZZ_2024_3514746 crossref_primary_10_1007_s00500_025_10473_7 crossref_primary_10_1109_TFUZZ_2023_3284392 crossref_primary_10_1016_j_fss_2024_109011 crossref_primary_10_1109_ACCESS_2024_3467191 crossref_primary_10_1016_j_fss_2025_109363 crossref_primary_10_1016_j_fss_2024_109067 |
| Cites_doi | 10.1109/91.855920 10.1007/978-94-017-1650-5 10.1007/s10700-019-09306-8 10.1109/TFUZZ.2017.2771406 10.1016/j.ins.2011.03.004 10.1016/j.ins.2020.03.047 10.1109/TFUZZ.2016.2598367 10.1007/s00500-006-0050-1 10.1109/TFUZZ.2016.2593496 10.1007/s00500-001-0157-3 10.1016/j.ins.2007.10.010 10.1016/0165-0114(84)90026-5 10.1109/TFUZZ.2015.2428716 10.1007/s40815-018-0530-3 10.1109/TFUZZ.2017.2648864 10.1016/j.fss.2017.04.002 10.1109/TFUZZ.2007.902018 10.1016/0165-0114(82)90043-4 10.1016/j.fss.2005.02.010 10.1007/s10700-019-09305-9 10.1007/s10700-008-9029-y 10.1007/s13042-016-0527-x 10.1016/j.fss.2014.04.007 10.3233/IFS-151546 10.1109/FSKD.2012.6233956 10.1007/978-3-319-46206-6_48 |
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| Keywords | Iterative algorithm Minimal solution Fuzzy relational inequality Addition-min composition |
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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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