Bosbach states on fuzzy structures |
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Authors: | G Georgescu |
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Affiliation: | (1) Institute of Mathematics, University of Bucharest, Str. Academiei 14, 70109 Bucharest, Romania |
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Abstract: | Pseudo-BL algebras are non-commutative fuzzy structures which generalize BL-algebras and pseudo-MV algebras. In this paper we study the states on a pseudo-BL algebra. This concept is obtained by using the Bosbach condition for each of the two implications of a pseudo BL-algebra. We also propose a notion of conditional state for BL-algebras.The author would like to thank Laureiu Leutean for his valuable suggestions in obtaining the final version of the paper. |
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Keywords: | Pseudo-BL algebra Bosbach states Conditional state |
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