Chains in lattices of mappings and finite fuzzy topological spaces

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:161

Article

Benoumhani, Moussa¹  Jaballah, Ali¹ 

[1] Univ Sharjah, Dept Math, POB 27272, Sharjah, U Arab Emirates

关键词: Chains;    Antichains;    Finite topology;    Fuzzy topology;    Chained fuzzy topology;    Lattice of mappings;   

DOI  :  10.1016/j.jcta.2018.07.007

来源: Elsevier

【 摘 要 】

In this paper, we establish several results concerning chains in Y-X, the lattice of mappings from a finite set X into a finite totally ordered set Y. We compute the total number and the cardinalities of several collections of chains. As a byproduct we determine the total number of chained Y-fuzzy topologies defined on X. Several related and other well known results are obtained as corollaries. Also some natural questions are presented for further investigations. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free