After the introduction of shadowed sets and the investigation of their relation with fuzzy sets, we present BZMVdM algebras as an abstract environment for both shadowed and fuzzy sets. Then, we introduce the weaker notion of pre-BZMVdM algebra. This structure enables us to algebraically define a mapping from fuzzy sets to shadowed sets. © 2003 Published by Elsevier Science B.V.

Cattaneo, G., Ciucci, D. (2003). An algebraic approach to shadowed sets. In Proceedings of International Workshop on Rough Sets in Knowledge Discovery and Soft Computing (pp.64-75) [10.1016/S1571-0661(04)80706-0].

An algebraic approach to shadowed sets

CATTANEO, GIANPIERO;CIUCCI, DAVIDE ELIO
2003

Abstract

After the introduction of shadowed sets and the investigation of their relation with fuzzy sets, we present BZMVdM algebras as an abstract environment for both shadowed and fuzzy sets. Then, we introduce the weaker notion of pre-BZMVdM algebra. This structure enables us to algebraically define a mapping from fuzzy sets to shadowed sets. © 2003 Published by Elsevier Science B.V.
paper
Shadowed sets; fuzzy sets; rough sets
English
International Workshop on Rough Sets in Knowledge Discovery and Soft Computing
Cattaneo, G., Ciucci, D. (2003). An algebraic approach to shadowed sets. In Proceedings of International Workshop on Rough Sets in Knowledge Discovery and Soft Computing (pp.64-75) [10.1016/S1571-0661(04)80706-0].
Cattaneo, G; Ciucci, D
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/21200
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