Record number :
1183129
Title of article :
Definability and textures Original Research Article
Author/Authors :
Murat Diker، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2012
Pages :
15
From page :
558
To page :
572
Abstract :
This paper aims to give a new perspective for definability in rough set theory. First, a counterpart of definability is introduced in textural approximation spaces. Then a complete field of sets for texture spaces is defined and using textural arguments, some new results are obtained for rough sets. It is shown that definability can be also discussed in terms of a complete field of fuzzy sets on a fuzzy lattice for the various fuzzy approximation spaces. It is also given a partial affirmative answer to an open problem posed by Wei-Zhi Wu in On some mathematical structures of T-fuzzy rough set algebras in infinite universes of discourse in Fundamenta Informaticae 108 (3–4) 2011 337–369.
Keywords :
Rough set , Texture space , Approximation operator , Fuzzy rough set , Direlation , Definability
Journal title :
International Journal of Approximate Reasoning
Link To Document :