Results 61 to 70 of about 397,265 (146)
m-Polar Picture Fuzzy Ideal of a BCK Algebra
International Journal of Computational Intelligence Systems, 2020 In this paper, the notions of m-polar picture fuzzy subalgebra (PFSA), m-polar picture fuzzy ideal (PFI) and m-polar picture fuzzy implicative ideal (PFII) of BCK algebra are introduced and some related basic results are presented.
Shovan Dogra, Madhumangal Pal
doaj +1 more source
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
wiley +1 more source
Matrix formulation of fuzzy rule-based systems [PDF]
, 1996 In this paper, a matrix formulation of fuzzy rule based systems is introduced. A gradient descent training algorithm for the determination of the unknown parameters can also be expressed in a matrix form for various adaptive fuzzy networks.
Lotfi, A, Andersen, HC, Tsoi, AC
core
Interval Valued m-polar Fuzzy BCK/BCI-Algebras
International Journal of Computational Intelligence Systems, 2021 The notion of interval-valued m-polar fuzzy sets (abbreviated IVmPF) is much wider than the notion of m-polar fuzzy sets. In this paper, we apply the theory of IVmPF on BCK/BCI-algebras.
G. Muhiuddin, D. Al-Kadi
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source
On semi-modular subalgebras of Lie algebras over fields of arbitrary characteristic. [PDF]
, 2008 This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. It is shown that, in certain circumstances, including for all solvable algebras, for all restricted Lie algebras over ...
Towers, David A.
core +1 more source
Structural Analysis of Two‐Fold Algebraic Systems Defined Over Fuzzy and Antifuzzy Groups
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study examines the structural properties of two‐fold algebras defined over fuzzy groups and antifuzzy groups. The corresponding two‐fold binary operations are introduced, and their fundamental algebraic features, such as associativity, identity elements, inverses, and finite order elements, are analyzed. In addition, several related substructures,
Ramazan Yaşar, G. Muhiuddin
wiley +1 more source
Fuzzy Subalgebras And Fuzzy Ideals Of Bci-Algebras With Operators
, 2017 {"references": ["Y. Imai and K. Iseki, \"On axiom system of propositional calculus,\" Proc Aapan Academy, vol. 42, pp. 26-29, 1966.", "K. Iseki, \"On BCI-algebras,\" Math. Sem. Notes, vol. 8, pp.125-130, 1980.", "O.G. Xi, \"Fuzzy BCK-algebras,\" Math Japon, vol. 36, pp. 935-942, 1991.", "Y.B. Jun, S.M. Hong, J. Meng and X.L. Xin, \"Characterizations of
Hu, Yuli, Shaoquan Sun
openaire +1 more source
Finite models for positive combinatorial and exponential algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3380-3400, November 2025.Abstract We use high girth, high chromatic number hypergraphs to show that there are finite models of the equational theory of the semiring of non‐negative integers whose equational theory has no finite axiomatisation, and show this also holds if factorial, fixed base exponentiation and operations for binomial coefficients are adjoined.
Tumadhir Alsulami, Marcel Jackson
wiley +1 more source