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Fuzzy rough sets

✍ Scribed by S. Nanda; S. Majumdar


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
134 KB
Volume
45
Category
Article
ISSN
0165-0114

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In this note we compare notions of rough set and fuzzy set, and we show that these two notions are different.

Fuzzy rough sets are intuitionistic L-fu
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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].

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A fuzzy T-rough set consists of a set X and a T-similarity relation R on X, where T is a lower semi-continuous triangular norm. We generalize the Farinas-Prade definition for the upper approximation operator A: I x --+ IX of a fuzzy T-rough set (X, R); given originally for the special case T = Min,

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A measure of fuzziness in rough sets is introduced and some characterizations of this measure are made with examples.