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Local bounded commutative residuated ℓ-monoids

Bounded commutative residuated lattice ordered monoids (Rℓ-monoids) are a common generalization of, e.g., BL-algebras and Heyting algebras. In the paper, the properties of local and perfect bounded commutative Rℓ-monoids are investigated.

Jiří Rachůnek | Dana Šalounová | J. Rachunek | D. Salounová

[1] Jiří Rachůnek,et al. Bounded dually residuated lattice ordered monoids as a generalization of fuzzy structures , 2006 .

[2] Petr Hájek,et al. Metamathematics of Fuzzy Logic , 1998, Trends in Logic.

[3] Jiří Rachůnek,et al. DRl-semigroups and MV-algebras , 1998 .

[4] Anatolij Dvurecenskij,et al. Bounded commutative residuated ℓ-monoids with general comparability and states , 2006, Soft Comput..

[5] D. Mundici,et al. Algebraic Foundations of Many-Valued Reasoning , 1999 .

[6] Jiří Rachůnek. A duality between algebras of basic logic and bounded representable $DRl$-monoids , 2001 .

[7] Anatolij Dvurecenskij,et al. Probabilistic Averaging in Bounded Rℓ-Monoids , 2006 .

[8] Jiří Rachůnek,et al. Negation in bounded commutative DRℓ-monoids , 2006 .

[9] K. Swamy,et al. Dually residuated lattice ordered semigroups , 1965 .

[10] C. Tsinakis,et al. A Survey of Residuated Lattices , 2002 .

[11] Constantine Tsinakis,et al. The Structure of Residuated Lattices , 2003, Int. J. Algebra Comput..

[12] K. Swamy,et al. Dually Residuated Lattice Ordered Semigroups, II , 1965 .

[13] C. Tsinakis,et al. Cancellative residuated lattices , 2003 .

[14] E. Turunen. Mathematics Behind Fuzzy Logic , 1999 .