In this paper we introduce the concepts of -open sets, -closure, R-nbd system, almost continuity and -continuity in fuzzifying topology and we give some characterizations of almost continuity and -continuity.
Continuity in the density topology II
β Scribed by Krzysztof Ostaszewski
- Book ID
- 112910741
- Publisher
- Springer Milan
- Year
- 1983
- Tongue
- Italian
- Weight
- 530 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0009-725X
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π SIMILAR VOLUMES
The concepts of -continuity and c -continuity are considered and studied in fuzzifying topology and by making use of these concepts, some decompositions of fuzzy continuity are introduced. It is proved that the family of all -sets in fuzzifying topology may not be a fuzzifying topology.
For a locally compact Abelian (LCA) group G, let G + denote the group G endowed with its Bohr topology. With each piecewise affine map (defined below) ck of G into another LCA group H, we show that there is associated a continuous map c~ + of G + imo H Γ· which coincides with on a dense open subset o