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Resolution of Max-Product Fuzzy Relation Equation with Interval-Valued Parameter
Joint Authors
Yang, Xiao-Peng
Lin, Hai-Tao
Yang, Xiao-Bin
Xiao, Gang
Xue, Huanbin
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-17
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Considering the application background on P2P network system, we investigate the max-product fuzzy relation equation with interval-valued parameter in this paper.
Order relation on the set of all interval-valued numbers plays key role in the construction and resolution of the interval-valued-parameter fuzzy relation equation (IPFRE).
The basic operations supremum (a∨b) and infimum (a∧b) in the IPFRE should be defined depending on the order relation.
A novel total order is introduced for establishing the IPFRE.
We also discuss some properties of the IPFRE system, including the consistency and structure of the complete solution set.
Concepts of close index set and open index set are defined, helping us to construct the resolution method of the IPFRE system.
We further provide a detailed algorithm for obtaining the complete solution set.
Besides, the solution set is compared to that of the classical max-T fuzzy relation equations system.
American Psychological Association (APA)
Yang, Xiao-Bin& Lin, Hai-Tao& Xiao, Gang& Xue, Huanbin& Yang, Xiao-Peng. 2019. Resolution of Max-Product Fuzzy Relation Equation with Interval-Valued Parameter. Complexity،Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1132845
Modern Language Association (MLA)
Yang, Xiao-Bin…[et al.]. Resolution of Max-Product Fuzzy Relation Equation with Interval-Valued Parameter. Complexity No. 2019 (2019), pp.1-16.
https://search.emarefa.net/detail/BIM-1132845
American Medical Association (AMA)
Yang, Xiao-Bin& Lin, Hai-Tao& Xiao, Gang& Xue, Huanbin& Yang, Xiao-Peng. Resolution of Max-Product Fuzzy Relation Equation with Interval-Valued Parameter. Complexity. 2019. Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1132845
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132845