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Hedges and successors in basic algebras

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Abstract

The concept of hedge was introduced by Zadeh in the sake to amplify true values of linguistic terms. It was used by Bělohlávek and Vychodil for formal concept analysis of unsharp reasoning. The concept of successor was introduced by Caicedo and Cignoli for study of intuitionistic connectives and used by San Martín, Castiglioni, Menni and Sagastume in Heyting algebras. Since basic algebras form an algebraic tool for simultaneous treaty of many-valued logics and logics of quantum mechanics, it arises a natural question of generalization of these concepts also for basic algebras. This motivated our investigations on hedges and successors.

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Acknowledgments

This work is supported by the Research Project MSM6198959214 by the Czech Government.

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Authors and Affiliations

  1. Department of Algebra and Geometry, Faculty of Sciences, Palacký University Olomouc, třída 17. listopadu 12, 771 46, Olomouc, Czech Republic

    Ivan Chajda

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  1. Ivan Chajda
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Correspondence to Ivan Chajda.

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Chajda, I. Hedges and successors in basic algebras. Soft Comput 15, 613–618 (2011). https://doi.org/10.1007/s00500-010-0570-6

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