The relationship between a fuzzy uniformity and its family of \(\alpha\)-level uniformities

DOI10.1016/0165-0114(93)90377-TzbMath0871.54009MaRDI QIDQ1311857

M. H. Burton

Publication date: 5 October 1997

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Fuzzy topology (54A40)

Related Items (23)

COMPLETENESS IN FUZZY UNIFORM SPACES ⋮ PRECOMPACTNESS IN FUZZY UNIFORM SPACES ⋮ Uniform environments as a general framework for metrics and uniformities ⋮ Relationships between L-fuzzy quasi-uniform structures and L-fuzzy topologies ⋮ Basic structures of fuzzy topology ⋮ Generalised filters. II ⋮ Perfect L-fuzzy topogenous space, L-fuzzy quasi-proximities and L-fuzzy quasi-uniform spaces ⋮ Uniform spaces based on a way below relation ⋮ On fuzzy uniformities induced by a fuzzy metric space ⋮ On L-fuzzy interior operators and L-fuzzy quasi-uniform spaces ⋮ Upper M-approximate operators and M-closed sets1 ⋮ A comparison of various uniformities in fuzzy topology. ⋮ A new definition of fuzzy k-pseudo metric and its induced fuzzifying structures ⋮ THE FUZZY UNIFORMISATION OF FUNCTION SPACES ⋮ EMBEDDINGS INTO THE CATEGORY OF SUPER UNIFORM SPACES ⋮ Fuzzy pseudometric spaces vs fuzzifying structures ⋮ Connecting fuzzifying topologies and generalized ideals by means of fuzzy preorders ⋮ Categories isomorphic to FNS ⋮ Generalised filters. I ⋮ Some categorical aspects of fuzzy topology ⋮ Cauchy filters and prefilters ⋮ Boundedness in uniform spaces and fuzzy uniform spaces ⋮ ON THE RELATIONSHIPS BETWEEN VARIOUS LATTICE-VALUED TOPOLOGICAL GROUPS AND THEIR UNIFORMITIES

Cites Work

• Unnamed Item
• Completeness, compactness, and precompactness in fuzzy uniform spaces. II
• Fuzzy neighborhood spaces
• Fuzzy uniform spaces
• Cauchy filters and prefilters
• Boundedness in uniform spaces and fuzzy uniform spaces
• Completeness, compactness, and precompactness in fuzzy uniform spaces. I
• Convergence in fuzzy topological spaces
• COMPLETENESS IN FUZZY UNIFORM SPACES
• PRECOMPACTNESS IN FUZZY UNIFORM SPACES

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