Paper Info
Title
Min–max programming problem with constraints of addition-min-product fuzzy relation inequalities
Abstract
In this paper, we study a new type of fuzzy relation system called fuzzy relational inequalities with addition-min-product composition operations to model a peer-to-peer (P2P) file sharing system. Some properties of this addition-min-product system are investigated. We then characterize the structure of the solution set. Furthermore, to reduce the network congestion and improve the stability of data transmission, a min–max programming problem with constraints of addition-min-product fuzzy relation inequalities is established and investigated. We divide this min–max programming problem into several subproblems with the constraint of a single equation. Based on the optimal solutions to these subproblems, we can solve the original fuzzy relation min–max programming problem. Two algorithms, with polynomial computational complexity, are developed to search for an optimal solution to our studied problem. The validity of the algorithms is examined through a numerical example.
Year
DOI
Venue
2022
10.1007/s10700-021-09368-7
Fuzzy Optimization and Decision Making
Keywords
DocType
Volume
Fuzzy relation inequality, Fuzzy relation equation, Addition-min-product composition, Min–max programming problem, Peer-to-Peer file sharing system
Journal
21
Issue
ISSN
Citations 
2
1568-4539
1
PageRank 
References 
Authors
0.36
21
2
Name
Order
Citations
PageRank
Qiu, Jianjun110.36
Yang, Xiaopeng210.36