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Fuzzy pseudometric spaces vs fuzzifying structures
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DOI：10.1016/j.fss.2014.06.003.png)
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Abstract
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In this paper, we apply the representation theorem established in Mardones-Perez and de Prada Vicente (2012) [12] to define and study the degree in which some topological-type properties of fuzzy pseudometric spaces are fulfilled. Fuzzifying structures which appear naturally are also investigated, and the relation between these structures and fuzzy pseudometric spaces is explored. (C) 2014 Elsevier B.V. All rights reserved.
Keywords:
Pseudometric
Uniformity
Fuzzifying uniformity
Fuzzifying topology
Fuzzy (pseudo)metric space
Convergence
Cauchy filters
Compactness
Precompactness
Completeness
Level theory
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