Soft Nearness Approximation Spaces

• Autorzy: Öztürk M. A. , İnan E.
• Języki publikacji: EN

Abstrakty

EN

In 1999, Molodtsov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. In 2002, near set theory was initiated by J. F. Peters as a generalization of Pawlak's rough set theory. In the near set approach, every perceptual granule is a set of objects that have their origin in the physical world. Objects that have, in some degree, affinities are considered perceptually near each other, i.e., objects with similar descriptions. Also, the concept of near groups has been investigated by İnan and Öztürk [30]. The present paper aims to combine the soft sets approach with near set theory, which gives rise to the new concepts of soft nearness approximation spaces (SNAS), soft lower and upper approximations. Moreover, we give some examples and properties of these soft nearness approximations.

Słowa kluczowe

EN

approximation space; nearness approximation space; rough set; soft near set; soft nearness approximation space; soft rough set; soft set

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2013
• Tom: Vol. 124, nr 1/2
• Strony: 231--250
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Öztürk M. A.

• Department of Mathematics, Faculty of Arts and Sciences, Adiyaman University, Adiyaman, Turkey

autor

İnan E.

• Department of Mathematics, Faculty of Arts and Sciences, Adiyaman University, Adiyaman, Turkey

Bibliografia

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