Relative negations in non-commutative fuzzy structures (Q890025)
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scientific article; zbMATH DE number 6506245
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relative negations in non-commutative fuzzy structures |
scientific article; zbMATH DE number 6506245 |
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Relative negations in non-commutative fuzzy structures (English)
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9 November 2015
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The author defines relative involutive FL-algebras by generalizing some her previous results [\textit{L. C. Ciungu}, An. Univ. Craiova, Ser. Mat. Inf. 37, No. 1, 19--26 (2010; Zbl 1212.06046)] to relative negations, the relative generalized states are also investigated. The main result is as follows: every order-preserving generalized Bosbach state is a relative generalized Riečan state. The author also defines states on integral FL-algebras in which classical negations are relativized. Relationships between Bosbach and Riečan states are established.
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IFL-algebra
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relative negation
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relative generalized Riečan state
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