On two types of stable subconstructs of FTS
Identifieur interne : 002950 ( Main/Exploration ); précédent : 002949; suivant : 002951On two types of stable subconstructs of FTS
Auteurs : Nehad N. Morsi [Égypte]Source :
- Fuzzy Sets and Systems [ 0165-0114 ] ; 1995.
Abstract
In the topological construct FTS of fuzzy topological spaces and continuous functions, the subconstructs T-FLS, of fuzzy T-locality spaces, and T-FNS, of fuzzy T-neighbourhood spaces, are simultaneously bireflective and bicoreflective in FTS; for certain infinite sets of triangular norms T. We identify their stabilizing, total fuzzy topologies Ω(T-FLS) and Ω(T-FNS) on [0,1]; in the sense of Lowen and Wuyts (1993). (The special case of T = Min has already been dealt with by Lowen and Wuyts.) We also establish a symmetrically defined, order-reversing bijection between Ω(T-FNS) and a basis for Ω(T-FLS).
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DOI: 10.1016/0165-0114(95)00059-T
Affiliations:
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