Results 101 to 110 of about 662 (160)
INTUITIONISTIC FUZZY FILTERS OF RESIDUATED LATTICES
, 2011 In this paper, the concept of intuitionistic fuzzy sets is applied to residuated lattices. The notion of intuitionistic fuzzy filters of a residuated lattice is introduced and some related properties are investigated.
SHOKOOFEH GHORBANI
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Projectivity in (bounded) integral residuated lattices
, 2022 In this paper we study projective algebras in varieties of (bounded) commutative integral residuated lattices from an algebraic (as opposed to categorical) point of view.
Ugolini, Sara, Aglianò, Paolo
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Implicative algebras and Heyting algebras can be residuated lattices
, 2017 The commutative residuated lattices were first introduced by M. Ward and R.P. Dilworth as generalization of ideal lattices of rings. Complete studies on residuated lattices were developed by H. Ono, T. Kowalski, P. Jipsen and C. Tsinakis.
Basim Samir +3 more
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Categories of Residuated Lattices
, 2018 We present dual variants of two algebraic constructions of certain classes of residuated lattices: The Galatos-Raftery construction of Sugihara monoids and their bounded expansions, and the Aguzzoli-Flaminio-Ugolini quadruples construction of srDL ...
Fussner, Daniel Wesley
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Relational groupoids and residuated lattices
EPiC Series in Computing, 2018 A quite general order-theoretical approach to implicative structures leads to consider implicative groupoids, which form a wide class of algebras including residuated lattices and their reasonable generalizations. Implicative groupoids find out to be special instances of suitable relational systems and are objects of categories, semicategories and ...
openaire +2 more sources
Cayley and Holland Theorems for Residuated Lattices
We obtain representation theorems for residuated lattices. The representing structure consists of special self maps on an ordered set. We prove two types of theorems; one that generalizes Cayley's theorem for groups/monoids and one (for special ...
Rostislav Horcik, Nikolaos Galatos
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The structure of residuated lattices
, 2002 . Residuation is a fundamental concept of ordered structures and categories. In this survey we consider the consequences of adding a residuated monoid operation to lattices.
P. Jipsen, C. Tsinakis
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Some properties of residuated lattices
, 2003 We investigate some (universal algebraic) properties of residuated lattices -algebras which play the role of structures of truth values of various systems of fuzzy logic.
Radim Bělohlávek, Ostrava
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Modal operators on commutative residuated lattices
, 2011 We prove some fundamental properties of monotone modal operators on bounded commutative integral residuated lattices (CRL). Moreover we give a positive answer to the problem left open in [RACHŮNEK, J.—ŠALOUNOV Á, D.: Modal operators on bounded ...
M. Kondo
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Reducts and Modal Operators on Residuated Lattices
We review and collect some results on reducts and modal operators on residuated lattices.
William Young
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