Rough Approximations of Intuitionistic Fuzzy Sets
ABSTRACT In this paper, rough approximations in intuitionistic fuzzy set theory are discussed. The concepts of intuitionistic rough fuzzy sets and intuitionistic fuzzy rough sets are introduced. Their basic properties and operations are examined.
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ABSTRACT: The purpose of this communication is to demonstrate the fact that fuzzy rough sets in the sense of Nanda and Majumdar [Fuzzy Sets and Systems 45 (1992) 157] are, indeed, intuitionistic L-fuzzy sets developed by Atanassov [VII ITKR's Session; Fuzzy Sets and Systems 20 (1986) 87].Fuzzy Sets and Systems 06/1998; 96(3):381-383. DOI:10.1016/S0165-0114(97)00249-2 · 1.88 Impact Factor
Article: Rough sets: Some extensions[Show abstract] [Hide abstract]
ABSTRACT: In this article, we present some extensions of the rough set approach and we outline a challenge for the rough set based research.Information Sciences 01/2007; 177(1-177):28-40. DOI:10.1016/j.ins.2006.06.006 · 3.89 Impact Factor
Article: On generalized fuzzy rough sets[Show abstract] [Hide abstract]
ABSTRACT: In this paper, a class of generalized fuzzy rough sets based on two universes are studied. Some new set-valued mappings and fuzzy set-valued mappings are introduced to discuss properties of the known model, and a new model for fuzzy rough sets is proposed which provides a new selection of interval structure for uncertainty reasoning using rough set theory. Some properties of the new model are revealed. The new model seems to be more natural in the sense that fuzzy sets are approximated by fuzzy sets on the same universe.International Journal of General Systems 04/2009; 38(3):255-271. DOI:10.1080/03081070701553678 · 0.79 Impact Factor