Metrization theorems in L-topological spaces☆
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Cited by (20)
L-metric on the space of L-fuzzy numbers
2020, Fuzzy Sets and SystemsCitation Excerpt :To reflect the characteristics of pointwise L-topology—that is, the relation between a fuzzy point and its Q-neighborhoods (or remote neighborhoods) [26,44]—the notion of pointwise metrics was introduced in L-fuzzy set theory and in fuzzy lattices [32–34], which is not equivalent to Deng's definition [3] and Erceg's definition [4]. Many ideal results for the general topology were generalized to L-topology and LM-fuzzy topology [35,37,38,47]. In this article, our aim is to construct a natural L-topology on the set of L-fuzzy numbers, which is called a standard L-topology.
L-partial metrics and their topologies
2020, International Journal of Approximate ReasoningRegularity and normality of (L,M)-Fuzzy topological spaces
2011, Fuzzy Sets and SystemsCommon fixed point theorems for fuzzy mappings under Φ-contraction condition
2009, Chaos, Solitons and FractalsConjugate topology of pointwise metric molecular lattices
2009, Fuzzy Sets and SystemsL-fuzzy interiors and L-fuzzy closures
2009, Fuzzy Sets and Systems
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The project is supported by the National Natural Science Foundation of China (19971059, 10371079) and the Base Research Foundation of Beijing Institute of Technology.
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