​​April 2021, Vol. 6, No. 4, pp. 69-82. 

​​​On Hybrid Structures of Hypersoft Sets and Rough Sets

Hüseyin Kamacı*
Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, Yozgat, Turkey.

​​​*Corresponding author’s e-mail:huseyin.kamaci@bozok.edu.tr

​Abstract

​Hypersoft sets, derived by transforming the approximate function in the structure of Molodtsov's soft set into a multi-attribute approximate function, and rough sets are effective mathematical tools for dealing with the uncertainties. This paper is devoted to making some contributions to the theory of rough hypersoft set and introducing the theory of hypersoft rough set, based on the hypersoft rough approximations with respect to the hypersoft approximation space. Furthermore, it is discussed the structural properties of hypersoft rough sets in detail.

Keywords: Rough set; Hypersoft set; Rough hypersoft set; Hypersoft rough set.

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ISSN 2456-0235

INDEXED IN 

International Journal of Modern Science and Technology