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- W1541879504 abstract "A rough fuzzy set is a pair of fuzzy sets resulting from the approximation of a fuzzy set in a crisp approximation space. A rough fuzzy set algebra is a fuzzy set algebra with added dual pair of rough fuzzy approximation operators. In this paper, structures of rough fuzzy set algebras are studied. It is proved that if a system $({cal F}(U), cap, cup, sim, L, H)$ is a (a serial, a reflexive, a symmetric, a transitive, an Euclidean, a Pawlak, respectively) rough fuzzy set algebra then the derived system $({cal F}(U), cap, cup, sim, LL, HH)$ is a (a serial, a reflexive, a symmetric, a transitive, an Euclidean, a Pawlak, respectively) rough fuzzy set algebra. Properties of rough fuzzy approximation operators in different types of rough fuzzy set algebras are also examined." @default.
- W1541879504 created "2016-06-24" @default.
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- W1541879504 date "2006-01-01" @default.
- W1541879504 modified "2023-09-23" @default.
- W1541879504 title "On Rough Fuzzy Set Algebras" @default.
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- W1541879504 doi "https://doi.org/10.1007/11881599_29" @default.
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