Path: Top -> Journal -> Jurnal Internasional -> Fuzzy Information and Engineering -> 2017 -> Volume 9, Issue 4, December
A New Characterisation of the Minimal Solution Set to Max-min Fuzzy Relation Inequalities
Oleh : Xiao-binYangaXiao-pengYangbKhizarHayatc, Fuzzy Information and Engineering
Dibuat : 2018-01-17, dengan 1 file
Keyword : Fuzzy relation inequality Fuzzy relation equation Lexicographic solution Minimal solution Max-min composition Peer-to-Peer network system
Url : http://www.sciencedirect.com/science/article/pii/S1616865817303072
Sumber pengambilan dokumen : WEB
In this paper, max-min fuzzy relation inequalities are applied to describe a BitTorrent-like Peer-to-Peer file sharing system. In order to decrease the network congestion under some fixed priority grade of the terminals, we define concept of lexicographic solution in such system. It is found that each minimal solution of max-min fuzzy relation inequalities happen to be a lexicographic solution. Moreover, the lexicographic solution set is exactly the minimal solution set. Numerical example is given to illustrate our results. At last, for the addition-min fuzzy relation inequalities, we provide a guess, trying to describe the relation between its lexicographic solution set and minimal solution set.
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