Results 61 to 70 of about 74,358 (176)
Kragujevac Journal of MathematicsThis paper is devoted to the study of a fascinating class of residuated lattices, the so-called mp-residuated lattice, in which any prime filter contains a unique minimal prime filter. A combination of algebraic and topological methods is applied to obtain new and structural results on mp-residuated lattices.
Rasouli, Saeed, Dehghani, Amin
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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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Some Remarks Regarding MTL and Divisible Residuated Algebras
MathematicsDivisible residuated lattices and MTL algebras are algebraic structures connected with algebras in t-norm-based fuzzy logics, being examples of residuated lattices. They are an important topic in the study of fuzzy logic.
Cristina Flaut, Dana Piciu, Radu Vasile
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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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H‐Fuzzy Ideals and H‐Fuzzy Filters in Distributive Join‐Semilattices
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates H‐fuzzy ideals of distributive join‐semilattices with least element 0 whose codomain is a complete lattice that satisfies the infinite meet distributive law. We also construct a number of characterizations for any H‐fuzzy ideal generated by an H‐fuzzy subset.
Mohammed Amare Mohammed +4 more
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Some Applications of Fuzzy Sets in Residuated Lattices
AxiomsMany papers have been devoted to applying fuzzy sets to algebraic structures. In this paper, based on ideals, we investigate residuated lattices from fuzzy set theory, lattice theory, and coding theory points of view, and some applications of fuzzy sets ...
Cristina Flaut +2 more
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Fixed‐Point Hoop Algebras and Lattice‐Theoretic Properties of Derivation Classes
Journal of Mathematics, Volume 2026, Issue 1, 2026.We introduce three classes of derivations on hoop algebras—pseudo implicative, implicative, and f‐implicative—and investigate their algebraic characteristics through detailed examples. We establish that, under natural conditions, the collection of pseudo implicative derivations forms a bounded distributive lattice.
Ali Madanshekaf +2 more
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Co-stone Residuated Lattices [PDF]
2010 40th IEEE International Symposium on Multiple-Valued Logic, 2010 33 ...
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Let A,∗,0 be a d‐algebra. The main focus of this article is to introduce the concept of a homoderivation as a self‐map of A that merges structural aspects of homomorphisms and derivations and then characterizes its relationship with a standard derivation of A.
Hicham Saber +6 more
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Alexandrov LF‐Rough Topogenous Structures: Theory and Applications
Journal of Mathematics, Volume 2026, Issue 1, 2026.The aim of this paper is to investigate the relationships between Alexandrov LF‐rough topogenous spaces and Alexandrov LF‐rough closure (interior) spaces based on LF‐rough sets. We establish several mappings inspired by the subsethood degree of two LF‐subsets to generate Alexandrov LF‐rough topogenous order spaces.
Ahmed A. Ramadan +3 more
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