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T-EXTENSION AS A METHOD OF CONSTRUCTION OF A GENERALIZED AGGREGATION OPERATOR

Jūlija Lebedinska

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Abstract

summary:Generalized aggregation operators are the tool for aggregation of fuzzy sets. The apparatus was introduced by Takači in [11]. $T$-extension is a construction method of a generalized aggregation operator and we study it in the paper. We observe the behavior of a $T$-extension with respect to different order relations and we investigate properties of the construction.

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summary:Generalized aggregation operators are the tool for aggregation of fuzzy sets. The apparatus was introduced by Takači in [11]. $T$-extension is a construction method of a generalized aggregation operator and we study it in the paper. We observe the behavior of a $T$-extension with respect to different order relations and we investigate properties of the construction.

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summary:Generalized aggregation operators are the tool for aggregation of fuzzy sets. The apparatus was introduced by Takači in [11]. $T$-extension is a construction method of a generalized aggregation operator and we study it in the paper. We observe the behavior of a $T$-extension with respect to different order relations and we investigate properties of the construction.

Key concepts: Extension (predicate logic), Operator (biology), Computer science, Fuzzy logic, Mathematics, Order (exchange), Algebra over a field, Applied mathematics

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