Bu makalede yeni bir kavram olan near soft yaklaşım uzaylarında tanımlı near soft kümeler üzerinde yeni bazı kavramlar tanımlanmaya çalışılmıştır. Near soft ayrılmış küme kavramını kullanarak near soft bağlantılı küme tanımlanmıştır. Ayrıca, near soft yaklaşım uzaylarında süreklilik kavramı ele alınmıştır. Near soft bağlantılılık kavramının, near soft yaklaşım uzaylarında süreklilik altında korunduğu incelenmiştir.
Near set theory is a concept that emerged from the comparison of similarities between digital images. Another set theory, soft set, was obtained by Molodstov[3]. The space where we obtain the near sets is the nearness approximation space. Tasbozan [25] introduce the soft sets based on a near approximation space. The group and ring structure of algebraic structures on near sets are defined. In this article, the structure of vector spaces will be discussed with close approximations. First I defined a pair of near approximation operators with respect to congruence based on a subspace, investigated near subsets in the vector space and its basic properties. Then considered a near soft set over a vector space has a properties of vector space defined lower and upper near soft approximation operators in vector spaces.
In this study, the basic concepts are given in the first part. Then we gave the definition of separation axioms with Near Soft topology space. We have show that the axioms of being a Near Soft topology are satisfied with the Kuratowski closure operator
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