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Bosbach states on fuzzy structures

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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.

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Authors and Affiliations

  1. Institute of Mathematics, University of Bucharest, Str. Academiei 14, 70109, Bucharest, Romania

    G. Georgescu

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  1. G. Georgescu
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Correspondence to G. Georgescu.

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The author would like to thank Laureţiu Leuştean for his valuable suggestions in obtaining the final version of the paper.

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Georgescu, G. Bosbach states on fuzzy structures. Soft Computing 8, 217–230 (2004). https://doi.org/10.1007/s00500-003-0266-2

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  • DOI: https://doi.org/10.1007/s00500-003-0266-2

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