Semantic Scholar Open Access 2017 16 sitasi

A New Characterisation of the Minimal Solution Set to Max-min Fuzzy Relation Inequalities

Xiaobin Yang Xiaopeng Yang K. Hayat

Lihat Sumber DOI

Abstrak

Abstract 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.

Topik & Kata Kunci

Mathematics

Penulis (3)

Xiaobin Yang

Xiaopeng Yang

K. Hayat

Format Sitasi

APA MLA BibTeX

Yang, X., Yang, X., Hayat, K. (2017). A New Characterisation of the Minimal Solution Set to Max-min Fuzzy Relation Inequalities. https://doi.org/10.1016/J.FIAE.2017.12.002

Akses Cepat

Lihat di Sumber doi.org/10.1016/J.FIAE.2017.12.002

Informasi Jurnal

Tahun Terbit: 2017
Bahasa: en
Total Sitasi: 16×
Sumber Database: Semantic Scholar
DOI: 10.1016/J.FIAE.2017.12.002
Akses: Open Access ✓