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 lnformaticae 108(3-4)2011 337-369.
approximation operatordefinabilitydirelationfuzzy rough setrough settexture space
Murat Diker
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Hacettepe University, Institute of Science, Department of Mathematics, 06532 Beytepe, Ankara, Turkey
NETL
NSTL
Elsevier
