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Some results on soft element and soft topological space
Author(s) -
Polat Nazan Çakmak,
Yaylalı Gözde,
Tanay Bekir
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5778
Subject(s) - soft set , element (criminal law) , mathematics , closure (psychology) , topological space , set (abstract data type) , space (punctuation) , fuzzy set , topology (electrical circuits) , cluster (spacecraft) , fuzzy logic , pure mathematics , computer science , artificial intelligence , combinatorics , political science , economics , law , market economy , programming language , operating system
All over the globe, soft set theory is a topic of interest for many authors working in diverse areas because of its rich potential for applications in several directions since the day it was defined by Molodtsov in 1999. Moreover, soft set theory is free from the difficulties where as other existing methods viz. probability theory, fuzzy set theory. Considering to these benefits, soft set theory has became very popular research area for many researchers. To contribute this research area, in this paper, we examine some properties on soft topological spaces such as neighborhood structure of a soft element and soft interior, soft closure, and soft cluster element and so on that are based on soft element definition that gives us a different perspective for development of soft set theory. Moreover, we give some examples to clarify our definitions.