Near approximations in groups

Bağırmaz, Nurettin

doi:10.1007/s00200-018-0373-z

Cited by 7 publications

(2 citation statements)

References 19 publications

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“…Feng and li [1] have obtained the rough soft set by associating the concepts of rough set and soft set, and similarly, Tasbozan [25] has obtained the near soft set builts up a connection between soft set and near set. The algebraic side of the rough set has been studied by many scientists [7,6,26,27,10,11,13,12,8,9] . Biswas and Nanda made the definition of subgroup with the approximation and Kuroki [12] made the definition of sub-ring with the approximation.…”

Section: Introductionmentioning

confidence: 99%

“…Wang [8] studied some properties of the approximations for normal subgroups. Among the algebraic studies in near sets, firstly, Bagırmaz [11] gave near approximations on groups and davvas [6] gave near approximations on rings which is another one. My goal in this article is to create some properties of vector space on near approximation spaces.…”

Section: Introductionmentioning

confidence: 99%

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Near Approximations in Vector Spaces

Taşbozan

2020

Journal of Universal Mathematics

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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.

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