Affiliations: Mathematics Department, Faculty of Arts and Science, Northern Border University, Rafha, K. S. A.
| Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt
Correspondence:
[*]
Corresponding author. A. M. Abd El-latif, Mathematics Department, Faculty of Arts and Science, Northern Border University, Rafha, K. S. A. and Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt. Tel.: +966562692469/+20 1001903231; E-mail: [email protected] and [email protected].
Abstract: In this paper, we introduce a generalized fuzzy soft rough model. A pair of new fuzzy soft rough approximations namely, fuzzy soft
Iℙ
-lower approximation and fuzzy soft
Iℙ
-upper approximation is proposed and their related properties are presented. Furthermore, we have succeeded to reduce the fuzzy soft boundary region comparing with already known in the literature. Finally, we obtain the structure of fuzzy soft ideal rough topologies induced by fuzzy soft sets and fuzzy ideals.
