论文信息 - Chains in lattices of mappings and finite fuzzy topological spaces

Chains in lattices of mappings and finite fuzzy topological spaces

Abstract 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.

Ali Jaballah | Moussa Benoumhani | Moussa Benoumhani | Ali Jaballah

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