6533b82afe1ef96bd128ca9c

RESEARCH PRODUCT

Fuzzifying topology induced by a strong fuzzy metric

Juan-josé MiñanaAlexander P. Sostak

subject

Logic010102 general mathematicsStructure (category theory)02 engineering and technologyTopologyNetwork topology01 natural sciencesFuzzy logicArtificial IntelligenceMetric (mathematics)Convergence (routing)0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processing0101 mathematicsTopology (chemistry)Mathematics

description

A construction of a fuzzifying topology induced by a strong fuzzy metric is presented. Properties of this fuzzifying topology, in particular, its convergence structure are studied. Our special interest is in the study of the relations between products of fuzzy metrics and the products of the induced fuzzifying topologies.

https://doi.org/10.1016/j.fss.2015.11.005