MATEMATIČKI VESNIK МАТЕМАТИЧКИ ВЕСНИК

 NEARNESS STRUCTURE ON TEXTURE SPACES S. Dost AbstractTextures are point-set setting for fuzzy sets, and they provide a framework for the complement-free mathematical concepts. This paper is the first of a series of two papers on the theory of nearness 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. Keywords: Nearness; symmetric topological space; cover; texture; fuzzy sets. MSC: 54E17, 54E05A15, 06D72, 54E15 Pages:  26$-$34 Volume  74 ,  Issue  1 ,  2022

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