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Fuzziness in rough sets

✍ Scribed by Kankana Chakrabarty; Ranjit Biswas; Sudarsan Nanda

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
88 KB
Volume
110
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

✦ Synopsis

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

πŸ“œ SIMILAR VOLUMES

Fuzzy rough sets
Fuzzy rough sets
✍ S. Nanda; S. Majumdar πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 134 KB
Rough sets and fuzzy sets
Rough sets and fuzzy sets
✍ ZdzisΕ‚aw Pawlak πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 143 KB

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
Fuzzy rough sets are intuitionistic L-fuzzy sets
✍ DoΗ§an Γ‡oker πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 145 KB

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].

Axiomatics for fuzzy rough sets
Axiomatics for fuzzy rough sets
✍ Nehad N. Morsi; M.M. Yakout πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 580 KB

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,