Fuzzifications of generalized Tarski filters in Tarski algebras

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Abstract

The fuzzification of generalized Tarski filters of generalized Tarski algebras is considered, and related properties are investigated. Characterizations of a fuzzy generalized Tarski filter are established. Based on the theory of a falling shadow, the notion of a falling fuzzy generalized Tarski filter of a generalized Tarski algebra is introduced. Relations between fuzzy generalized Tarski filters and falling fuzzy generalized Tarski filters are provided. A characterization of a falling fuzzy generalized Tarski filter is established.

Keywords

(Generalized) Tarski algebra
Generalized Tarski filter
Fuzzy GT-filter
Falling shadow
Falling fuzzy GT-filter

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