On the determination of fuzzy topological spaces and fuzzy neighbourhood spaces by their level-topologies |
| |
Authors: | P Wuyts |
| |
Affiliation: | Rijksuniversitair Centrum Antwerpen, Antwerp 2020, Belgium |
| |
Abstract: | In this paper we discuss the problem of the reconstruction of a fuzzy topological space or a fuzzy neighbourhood space from an a priori given family of level-topologies. Necessary and sufficient conditions for the existence of a solution are given, and it is proved that in the particular case of fuzzy neighbourhood spaces this solution is always unique. |
| |
Keywords: | Fuzzy topological space Fuzzy neighbourhood space |
本文献已被 ScienceDirect 等数据库收录! |