Pointwise (L, M)-fuzzy uniformities induced by (L, M)-fuzzy pseudo-metric and pointwise pseudo-metric chains

The main purpose of this paper is to study Hutton type fuzzifying uniformities on linear spaces. Firstly, we show that if a base of a fuzzifying uniformity defined over a linear space is translation-invariant, balanced and absorbed, then it generates a linear fuzzifying topology. From this linear fuzzifying topology, we can construct a new linear fuzzifying uniformity (i.e., a fuzzifying uniformity compatible with the linear structure) which is equivalent to the original fuzzifying uniformity. Secondly, the Hausdorff separation and complete boundedness in linear fuzzifying uniformities are investigated. In addition, as an example, the linear fuzzifying uniformity induced by a fuzzy norm is also discussed.

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Pointwise (L, M)-fuzzy uniformities induced by (L, M)-fuzzy pseudo-metric and pointwise pseudo-metric chains

Cited by 2 publications

References 29 publications

Linear pointwise L-quasi uniformities

Linear pointwise L-quasi uniformities

Linear fuzzifying uniformities

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