On A Generalization Of Rough Sets

In this paper we propose generalization of Ziarko's approach (1990) to the rough sets. Main ideas and intuitions on generalized rough sets, called here the contextual rough sets, are taken from conceptions of Z. Pawlak (1982). The generalization is based on authors' conception of contextual approximation space. The notion of a contextual rough set and an element of a contextual rough set are main notions in the paper. We also introduce the definition of binary relations on contextual rough sets. The main concepts refer to concepts of the multiset theory and the theory of fuzzy sets. This work was supported by grant No. 8 S503 021 06 from State Committee for Scientific Research, Poland 1 Introduction The author's considerations on the subject of a question of conceptions of rough sets presented by Pawlak [1],[2] and Ziarko [3] and conceptions of Blizad's multisets [4] and Zadeh's fuzzy sets [5] were an inspiration to write this short paper. The generalization of Ziarko's conception ..