Article ID Journal Published Year Pages File Type
389508 Fuzzy Sets and Systems 2016 8 Pages PDF
Abstract

D'eer et al. evaluated the implicator–conjunctor-based fuzzy rough set model or shortly, IC model and different noise-tolerant fuzzy rough set models. However, neither IC model nor Fuzzy Variable Precision Rough Set (FVPRS) model satisfies (ID) property without the reflexivity of fuzzy relation. Upper approximation operator in IC model cannot necessarily be expressed by fuzzy granules. Moreover, a fuzzy TT-similarity relation is equivalent to a fuzzy relation that is reflexive and TT-Euclidean, where TT denotes a t-norm. Therefore, TT-Euclidean condition is redundant for IC model satisfying all properties listed in the work of D'eer et al.

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Physical Sciences and Engineering Computer Science Artificial Intelligence
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