NEARNESS STRUCTURE ON TEXTURE SPACES
Keywords:
Nearness, symmetric topological space, cover, texture, fuzzy setsSubjects:
54E17, 54E05A15, 06D72, 54E15Abstract
Textures are point-set setting for fuzzy sets, and they provide a framework forthe complement-free mathematical concepts. This paper is the first of a series of two papers on the theory ofnearness spaces. This paper aims to give a new perspective for nearness structure from the textural point of view.It is proved that nearness spaces are embeddable into texture space which is connected with nearness structure.
Published
2022-01-15
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