Results 71 to 80 of about 2,056 (173)
Sectionally residuated lattices [PDF]
Miskolc Mathematical Notes, 2005 Summary: The concept of residuum is relativized in the so-called sections of a given lattice. It is shown that such a concept still has a majority of the good properties of residuum. The results correspond to previous ones involved in sectionally pseudocomplemented lattices.
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THE STRUCTURE OF RESIDUATED LATTICES [PDF]
International Journal of Algebra and Computation, 2003 A residuated lattice is an ordered algebraic structure [Formula: see text] such that <L,∧,∨> is a lattice, <L,·,e> is a monoid, and \ and / are binary operations for which the equivalences [Formula: see text] hold for all a,b,c ∈ L. It is helpful to think of the last two operations as left and right division and thus the equivalences can be
Blount, Kevin, Tsinakis, Constantine
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Pseudo General Overlap Functions and Weak Inflationary Pseudo BL-Algebras
Mathematics, 2022 General overlap functions are generalized on the basis of overlap functions, which have better application effects in classification problems, and the (weak) inflationary BL-algebras as the related algebraic structure were also studied.
Rong Liang, Xiaohong Zhang
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Non-commutative residuated lattices [PDF]
Transactions of the American Mathematical Society, 1939 In the theory of non-commutative rings certain distinguished subrings, one-sided and two-sided ideals, play the important roles. Ideals combine under crosscut, union and multiplication and hence are an instance of a lattice over which a non-commutative multiplication is defined.† The investigation of such lattices was begun by W.
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we define residuated skew lattice as non-commutative generalization of residuated lattice and investigate its properties. We show that Green’s relation 𝔻 is a congruence relation on residuated skew lattice and its quotient algebra is a ...
Saeid Arsham Borumand +1 more
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Hyper Rl-Ideals in Hyper Residuated Lattices
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we introduce the notion of a (strong) hyper RL-ideal in hyper residuated lattices and give some properties and characterizations of them.
Bakhshi Mahmood
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On sets of graded attribute implications with witnessed non-redundancy
, 2015 We study properties of particular non-redundant sets of if-then rules describing dependencies between graded attributes. We introduce notions of saturation and witnessed non-redundancy of sets of graded attribute implications are show that bases of ...
Vychodil, Vilem
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Attribute Implication Bases From Galois Connection Structures
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2729-2753, 15 March 2026.ABSTRACT Modeling knowledge systems by determining relationships among key variables have been and currently is a fundamental and nontrivial challenge in real‐world scenarios. Many approaches have been developed to reach this goal, but many of them are heuristic and require of alternative procedures to provide robust and tractable rules.
M. Eugenia Cornejo +2 more
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On the Structural Behavior of Multiplicative (Generalized)‐Derivations via d‐Algebra Structures
Journal of Mathematics, Volume 2026, Issue 1, 2026.In the context of a d‐algebra structure (℧, ∗, 0), this paper aims to introduce the concept of a multiplicative (generalized)‐derivation G associated with a self‐map Ξ (not necessarily a derivation). Based on this concept, the operations ∧ and composition ° will be defined, and several interesting related properties will be investigated, such as ...
Hicham Saber +5 more
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The connection of hyper lattice implication algebras and related hyper algebras [PDF]
Journal of Hyperstructures, 2016 In this paper, we de ne the concepts of (good) con- gruences and strong congruences on hyper lattice implication alge- bras and use them to construct quotient hyper lattice implication algebras.
Shokoofeh Ghorbani
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