A Generalization of Local Fuzzy Structures |
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| Authors: | Ji?í Rach?nek Dana ?alounová |
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| Affiliation: | (1) Department of Algebra and Geometry, Faculty of Sciences, Palacky University, Tomkova 40, 779 00 Olomouc, Czech Republic;(2) Department of Mathematical Methods in Economy, Faculty of Economics, VŠB–Technical University Ostrava, Sokolská 33, 701 21 Ostrava, Czech Republic |
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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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| Keywords: | Rl-monoid Pseudo BL-algebra Pseudo MV-algebra Local Rl-monoid Perfect Rl-monoid |
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