The notion of a rough set was originally proposed by Pawlak [Z. Pawlak, Rough sets, International Journal of Computer and Information Sciences 11 (5) (1982) 341–356]. Later on, Dubois and Prade [D. Dubois, H. Prade, Rough fuzzy sets and fuzzy rough sets, International Journal of General System 17 (2–3) (1990) 191–209] introduced rough fuzzy sets and fuzzy rough sets as a generalization of rough...

Some properties of Intuitionistic Fuzzy (IF) rough relational algebraic operators under an IF rough relational data model are investigated and illustrated using diabetes and heart disease databases. These properties are important and desirable for processing queries in an effective and efficient manner. Keywords— IF Set, Rough Set, IF Rough Relational Database, IF rough Relational Operators.

En utilisant certaines notions de base la théorie des algèbres Hopf et quasi-battage, nous introduisons formellement une nouvelle famille chemins rugueux : les quasi géométriques. Nous en examinons propriétés principales. particulier, mettons relation avec intégrales itérées du mouvement brownien le concept « simple bracket extension », développé dans thèse David Kelly. Comme conséquence ces ré...

The role of topological De Morgan algebra in the theory of rough sets is investigated. The rough implication operator is introduced in strong topological rough algebra that is a generalization of classical rough algebra and a topological De Morgan algebra. Several related issues are discussed. First, the two application directions of topological De Morgan algebras in rough set theory are descri...

In this chapter, we embark on a more specific granulation theory, stemming from the mereological theory of things. This mechanism provides us with tolerance and weak tolerance relations forming a graded similarity in the sense of Chap.1 and with resulting therefrom granules. To put the necessary notions in a proper order, we are going to discuss mereology, rough mereology and the mereological g...

In rough set theory, the multiplicity of methods calculating neighborhood systems is very useful to calculate measures accuracy and roughness. line with this research direction, in article we present novel kinds inspired by system maximal systems. We benefit from symmetry between approximations (lower upper) topological operators (interior closure) structure current generalized approximation sp...