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- W2074569934 abstract "In this paper, we show that there exists a one to one correspondence between a certain class of fuzzy pseudometrics (in the sense of Kramosil and Michalek) and [0,1)-indexed families of ordinary pseudometrics satisfying a property of lower semicontinuity. The aforementioned bijection is proved to be independent of the t-norm and it provides a representation theorem for a large class of fuzzy pseudometric spaces. Further, the relations between the uniformities and topologies both generated by the fuzzy pseudometric and by the corresponding family of ordinary pseudometrics are also investigated." @default.
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- W2074569934 date "2012-05-01" @default.
- W2074569934 modified "2023-10-18" @default.
- W2074569934 title "A representation theorem for fuzzy pseudometrics" @default.
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- W2074569934 doi "https://doi.org/10.1016/j.fss.2011.11.008" @default.
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