Paper Info
Title
Supereigenvalue Problem to Addition-Min Fuzzy Matrix With Application in P2P File Sharing System
Abstract
AbstractIn this paper, supereigenvalue and constrained supereigenvalue problems of an addition-min fuzzy matrix are investigated. In a peer-to-peer file sharing system, the download requirement of the terminals could be described by a constant constraint system with addition-min fuzzy relation inequalities. Without considering the constant constraint system, we first study the supereigenvalue problem. While considering the constant constraint system, the so-called constrained supereigenvalue is further proposed and investigated. A constrained supereigenvalue represents the ratio of the data-download quality to the data-sending quality under a constant constraint. In order to arouse the enthusiasm of the terminals to share their local file data, we aim to maximize the constrained supereigenvalue. A nonlinear programming approach is developed to find the unique maximum constrained supereigenvalue, with some illustrative examples.
Year
DOI
Venue
2020
10.1109/TFUZZ.2019.2920806
Periodicals
Keywords
DocType
Volume
Eigenvalues and eigenfunctions, Peer-to-peer computing, Programming, Linear matrix inequalities, Algebra, Computational complexity, Addition-min composition, constrained supereigenvalue, fuzzy matrix, fuzzy relation inequality, peer-to-peer (P2P) network, supereigenvalue
Journal
28
Issue
ISSN
Citations 
8
1063-6706
1
PageRank 
References 
Authors
0.35
20
2
Name
Order
Citations
PageRank
Xiao-Peng Yang16211.32
Zhifeng Hao265378.36