NEARNESS STRUCTURE ON TEXTURE SPACES

Authors

  • S. Dost Hacettepe University, Department of Secondary Science and Mathematics Education, 06800 Beytepe, Ankara, Turkey Author

Keywords:

Nearness, symmetric topological space, cover, texture, fuzzy sets

Subjects:

54E17, 54E05A15, 06D72, 54E15

Abstract

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

Issue

Vol. 74 No. 1 (2022): Vol. 74, Issue 1

Section

Articles

License

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Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.