Paper Info
Title
Addition-min fuzzy relation inequalities with application in BitTorrent-like Peer-to-Peer file sharing system.
Abstract
The data transmission mechanism in BitTorrent-like Peer-to-Peer (P2P) file sharing systems may be reduced to some addition-min fuzzy relation inequalities. The solution set of addition-min fuzzy relation inequalities plays an important role in the corresponding optimization problem. In this paper, we study some properties of the solutions to such system. Convexity of the solution set and number of minimal solutions are discussed, with comparison to those of the classical max-T fuzzy relation equations or inequalities. Besides, vertex solution and variable-ordering minimal solution are also investigated, with application in BitTorrent-like P2P file sharing system. Two numerical examples are given to illustrate the feasibility and efficiency of the algorithm for solving the variable-ordering solution.
Year
DOI
Venue
2018
10.1016/j.fss.2017.04.002
Fuzzy Sets and Systems
Keywords
Field
DocType
Fuzzy relation inequalities,Addition-min composition,Fuzzy relation equation,Minimal solution,Convex set,BitTorrent-like P2P file sharing systems
Discrete mathematics,Mathematical optimization,Convexity,Fuzzy logic,Convex set,BitTorrent,Solution set,File sharing,Fuzzy number,Optimization problem,Mathematics
Journal
Volume
ISSN
Citations 
343
0165-0114
9
PageRank 
References 
Authors
0.44
26
4
Name
Order
Citations
PageRank
Xiao-Peng Yang16211.32
Hai-Tao Lin222523.38
Xuegang Zhou3222.73
Bing-Yuan Cao4131.85