Paper Info
Title
Resolution of Max-Product Fuzzy Relation Equation with Interval-Valued Parameter.
Abstract
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 (ab) and infimum (a perpendicular to 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.
Year
DOI
Venue
2019
10.1155/2019/8179763
COMPLEXITY
Field
DocType
Volume
Applied mathematics,Control theory,Index set,Fuzzy logic,Infimum and supremum,Solution set,Mathematics
Journal
2019
ISSN
Citations 
PageRank 
1076-2787
0
0.34
References 
Authors
43
5
Name
Order
Citations
PageRank
Xiaobin Yang100.34
Hai-Tao Lin222523.38
gang xiao3239.51
Huanbin Xue400.68
Xiaopeng Yang5255.15