In this article, we study aggregation operators on shadowed sets. In particular, since shadowed sets can be obtained as approximations of fuzzy sets, we explore the relationships between aggregation operators on fuzzy sets and corresponding operators on shadowed sets. We focus on studying conditions under which the approximations of fuzzy sets into shadowed sets represent an homomorphism with respect to the corresponding aggregation operators, and we propose classes of fuzzy set operators that correspond to (and satisfy the same properties as) specific shadowed set operators.(c) 2022 Elsevier Inc. All rights reserved.
Aggregation operators on shadowed sets, 2022.
Aggregation operators on shadowed sets
Boffa, Stefania;
2022-01-01
Abstract
In this article, we study aggregation operators on shadowed sets. In particular, since shadowed sets can be obtained as approximations of fuzzy sets, we explore the relationships between aggregation operators on fuzzy sets and corresponding operators on shadowed sets. We focus on studying conditions under which the approximations of fuzzy sets into shadowed sets represent an homomorphism with respect to the corresponding aggregation operators, and we propose classes of fuzzy set operators that correspond to (and satisfy the same properties as) specific shadowed set operators.(c) 2022 Elsevier Inc. All rights reserved.
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