• GENERALIZATION OF ROUGH FUZZY SETS USING SEMI- APPROXIMATION

M. E. Abd El-Monsef, A. S. Salama, M. A. El-Gayar, R. M. Aqeel*

Abstract


The objective of this paper is to provide a new generalization of rough fuzzy sets in a generalized approximation space. In the present paper, a pair of fuzzy semi-lower and fuzzy semi-upper generalized approximation operators are defined by using the more familiar notion of binary relations. The connections between relations and fuzzy semi- approximation operators are examined. Moreover, some results, examples and counter examples are provided. Finally, the relationships between fuzzy semi-approximation spaces and fuzzy pretopological spaces are studied.


Keywords


generalized approximation space, rough fuzzy set, fuzzy semi-lower approximation, fuzzy semi-upper approximation, fuzzy pretopological space.

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