ROUGH SETS, ROUGH RELATIONS AND ROUGH FUNCTIONS

Rough Sets, Rough Relations and Rough Functions

L-valued Fuzzy Rough Sets

In this paper, we take a GL-quantale as the truth value table to study a new rough set model—L-valued fuzzy rough sets. The three key components of this model are: an L-fuzzy set A as the universal set, an L-valued relation of A and an L-fuzzy set of A (a fuzzy subset of fuzzy sets). Then L-valued fuzzy rough sets are completely characterized via both constructive and axiomatic approaches. 

Generalized Rough Sets and Relations

In this paper, we introduce the notions of generalized upper (lower) approximations, generalized upper (lower) bounded operations and various operations. We investigate their properties. Mathematics Subject Classification: 03B52, 03B70, 03G25

On $L$-double fuzzy rough sets

ur aim of this  paper  is  to introduce the concept of $L$-double fuzzy rough sets in whichboth constructive and axiomatic approaches are used. In constructive approach, a pairof $L$-double fuzzy lower (resp. upper) approximation operators is defined  and the basic properties of them  are studied.From the viewpoint of the axiomatic approach, a set of axioms is constructed to characterize the $L...

T-Rough Sets Based on the Lattices

The aim of this paper is to introduce and study set- valued homomorphism on lattices and T-rough lattice with respect to a sublattice. This paper deals with T-rough set approach on the lattice theory. The result of this study contributes to, T-rough fuzzy set and approximation theory and proved in several papers. Keywords: approximation space; lattice; prime ideal; rough ideal; T-rough set; set...