A contribution to the study of soft proximity spaces | Zendy

İzzettin Demir | Zendy; Bedre Özbakır | Zendy; İsmet Yıldız | Zendy

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A contribution to the study of soft proximity spaces

Author(s) -

İzzettin Demir,

Bedre Özbakır,

İsmet Yıldız

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1707023d

Subject(s) - mathematics , space (punctuation) , soft chemistry , relation (database) , pure mathematics , soft set , computer science , artificial intelligence , data mining , fuzzy logic , nanotechnology , operating system , materials science

In this paper, we study the soft proximity spaces. First, we investigate the relation between proximity spaces and soft proximity spaces. Also, we define the notion of a soft delta-neighborhood in the soft proximity spaces which offer an alternative approach to the study of soft proximity spaces. Later, we show how a soft proximity space is derived from a soft uniform space. Finally, we obtain the initial soft proximity space determined by a family of soft proximity spaces.

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