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A Generalization of Local Fuzzy Structures

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Abstract

The class of bounded residuated lattice ordered monoids Rl-monoids) contains as proper subclasses the class of pseudo BL-algebras (and consequently those of pseudo MV-algebras, BL-algebras and MV-algebras) and of Heyting algebras. In the paper we introduce and investigate local bounded Rl-monoids which generalize local algebras from the above mentioned classes of fuzzy structures. Moreover, we study and characterize perfect bounded Rl-monoids.

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Authors and Affiliations

  1. Department of Algebra and Geometry, Faculty of Sciences, Palacký University, Tomkova 40, 779 00, Olomouc, Czech Republic

    Jiří Rachůnek

  2. Department of Mathematical Methods in Economy, Faculty of Economics, VŠB–Technical University Ostrava, Sokolská 33, 701 21, Ostrava, Czech Republic

    Dana Šalounová

Authors
  1. Jiří Rachůnek
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  2. Dana Šalounová
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Correspondence to Jiří Rachůnek.

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Rachůnek, J., Šalounová, D. A Generalization of Local Fuzzy Structures. Soft Comput 11, 565–571 (2007). https://doi.org/10.1007/s00500-006-0101-7

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  • DOI: https://doi.org/10.1007/s00500-006-0101-7

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