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The Importance of the Study of Algebras of Fuzzy Logic

Author

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  • Jeflea Antoneta

    (Universitatea “Spiru Haret” Constanþa)

Abstract

In this paper I begin a sistematic algebraic investigation of some algebras of fuzzy logic: BL-algebras and DRl-monoids; BL-algebras are particular residuated lattices; The origin of; BL-algebras is in Mathematical; LogicBL-algebras, introduced by P.Hajek, form an algebraic counterpart of the basc fuzzy logic.In the paper it is shown that BL-algebras are the duals of bounded representable DRI-monoids. This duality enables us to describe some structure properties of BL-algebras.

Suggested Citation

  • Jeflea Antoneta, 2012. "The Importance of the Study of Algebras of Fuzzy Logic," Ovidius University Annals, Economic Sciences Series, Ovidius University of Constantza, Faculty of Economic Sciences, vol. 0(1), pages 560-563, May.
    • Handle: RePEc:ovi:oviste:v:xii:y:2012:i:12:p:560-563
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    More about this item

    Keywords

    BL-algebra; MV-algebra; bounded DRl-monoid; representable DRl-monoid; prime spectrum.;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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