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). Elsevier [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.
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