Results 241 to 250 of about 3,651 (294)

Generalized fuzzy rough sets [PDF]

open access: yesInformation Sciences, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei-Zhi Wu   +2 more
exaly   +4 more sources

ROUGH FUZZY SETS AND FUZZY ROUGH SETS*

International Journal of General Systems, 1990
The notion of a rough set introduced by Pawlak has often been compared to that of a fuzzy set, sometimes with a view to prove that one is more general, or, more useful than the other. In this paper we argue that both notions aim to different purposes.
Henri Prade
exaly   +3 more sources

Textures and Fuzzy Rough Sets [PDF]

open access: yesFundamenta Informaticae, 2011
In this paper, we consider the Alexandroff topology for texture spaces. We prove that there exists a one-to-one correspondence between the Alexandroff ditopologies, and the reflexive and transitive direlations on a given texture. Using textural fuzzy direlations on a fuzzy lattice, we obtain a fuzzy rough set algebra where the inverse fuzzy relation ...
Diker, MURAT
openaire   +2 more sources

On the generalization of fuzzy rough sets

IEEE Transactions on Fuzzy Systems, 2005
Rough sets and fuzzy sets have been proved to be powerful mathematical tools to deal with uncertainty, it soon raises a natural question of whether it is possible to connect rough sets and fuzzy sets. The existing generalizations of fuzzy rough sets are all based on special fuzzy relations (fuzzy similarity relations, T-similarity relations), it is ...
D S Yeung, Degang Chen, Wang Xizhao
exaly   +2 more sources

Fuzzy rough sets

Fuzzy Sets and Systems, 1992
The authors introduce the concept of a fuzzy rough set by fuzzifying rough sets. They show some easy properties of fuzzy rough sets.
Nanda, S., Majumdar, S.
exaly   +3 more sources

A comparative study of fuzzy sets and rough sets

Information Sciences, 1998
The paper reviews and compares theories of fuzzy sets and of rough sets. Two formulations of fuzzy sets, viz., in terms of many-valued and of modal logics are considered. In both cases, the theory of fuzzy sets may be viewed as a deviation from classical set theory.
Yiyu Yao
exaly   +3 more sources

Roughness of a fuzzy set

Information Sciences, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohua Banerjee, Sankar K. Pal
openaire   +1 more source

Fuzziness in rough sets

Fuzzy Sets and Systems, 2000
In the paper the authors define a measure of fuzziness in a rough set and investigate its properties. Every approximation space \((U, R)\), where \(R\) is an equivalence relation on \(U\), and a subset \(X\) of \(U\) determine a rough set \(R(X)\). Let \(\operatorname {card}(Y)\) denote the cardinality of \(Y\). With \((U, R)\) and \(X\) we associate a
Kankana Chakrabarty   +2 more
openaire   +1 more source

Home - About - Disclaimer - Privacy