A comparison of various uniformities in fuzzy topology
It is known that the construct FTS of stratified fuzzy topological spaces contains non-trivial concretely both reflective and coreflective full subconstructs. Since each of these subconstructs is both initially and finally closed in ITS, it gives rise to a perfectly viable and autonomous theory of fuzzy topology. In this paper, this idea is applied to analyze the interrelations between the various notions of uniformity in fuzzy set theory. The results show that these notions can be put into a coherent and clear picture if we interpret them as notions of uniformity for certain subconstructs of FTS that are concretely both reflective and coreflective or some superconstructs of fuzzy topological spaces. (C) 2003 Elsevier B.V. All rights reserved.
fuzzy topological spaces topological construct hutton uniform spaces lowen-hohle t-uniform spaces super uniform spaces