Results 21 to 30 of about 106 (105)

A new view of relationship between atomic posets and complete (algebraic) lattices

open access: yesOpen Mathematics, 2017
In the context of the atomic poset, we propose several new methods of constructing the complete lattice and the algebraic lattice, and the mutual decision of relationship between atomic posets and complete lattices (algebraic lattices) is studied.
Yu Bin, Li Qingguo, Wu Huanrong
doaj   +1 more source

On the convergence of sequences in ℝ+ through weighted geometric means via multiplicative calculus and application to intuitionistic fuzzy numbers

open access: yesJournal of Taibah University for Science, 2022
We define weighted geometric mean method of convergence for sequences in [Formula: see text] by using multiplicative calculus and obtain necessary and sufficient conditions under which convergence of sequences in [Formula: see text] follows from ...
Enes Yavuz
doaj   +1 more source

Separation Axioms and Their Descriptions Within the Framework of Fuzzy Soft Topology Defined on Fuzzy Soft Sets

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In recent years, fuzzy soft topology has emerged as a powerful approach that contributes significantly to advancing practical applications in uncertain environments, especially in information systems design, predictive modeling, and decision‐making. The structure of fuzzy soft topology, defined over fuzzy soft sets as a universal set instead of a crisp
S. Saleh   +4 more
wiley   +1 more source

On Krull′s intersection theorem of fuzzy ideals

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 4, Page 251-262, 2003., 2003
We deal with Krull′s intersection theorem on the ideals of a commutative Noetherian ring in the fuzzy setting. We first characterise products of finitely generated fuzzy ideals in terms of fuzzy points. Then, we study the question of uniqueness and existence of primary decompositions of fuzzy ideals.
V. Murali, B. B. Makamba
wiley   +1 more source

Weak-hyperlattices derived from fuzzy congruences

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2017
In this paper we explore the connections between fuzzy congruence relations, fuzzy ideals and homomorphisms of hyperlattices. Indeed, we introduce the concept of fuzzy quotient set of hyperlattices as it was done in the case of rings [19].
Koguep Blériot Blaise Njionou   +1 more
doaj   +1 more source

Existence and Uniqueness of Solutions to Initial Value Problems of High‐Order Fractional Fuzzy Differential Equations

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
High‐order fractional fuzzy differential equations show great potential in modeling complex systems with memory effects and uncertainty. Existing qualitative theories seldom involve both Caputo‐type strongly generalized Hukuhara differentiability and coupled integral operators on infinite intervals. This paper presents a systematic investigation of the
Yanli Xi   +2 more
wiley   +1 more source

On fuzzy subbundles of vector bundles

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 40, Page 2553-2565, 2003., 2003
This paper considers fuzzy subbundles of a vector bundle. We define the operations sum, product, tensor product, Hom, and intersection of fuzzy subbundles and in each case, we characterize the corresponding flag of vector subbundles. We then propose two alternative definitions of integrability on fuzzy subbundles of a given type and discuss their ...
V. Murali, G. Lubczonok
wiley   +1 more source

Aggregating Fuzzy Binary Relations and Fuzzy Filters

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
The main goal of this paper is to investigate the aggregation of diverse families of binary fuzzy relations, fuzzy filters, and fuzzy lattices. Some links between these families and their images via an aggregation are explored.
Amroune Abdelaziz, Aissa Bouad
doaj   +1 more source

Neutrosophic Rings and Neutrosophic Matrices

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
Let R be an arbitrary ring and R be the neutrosophic ring. We first show that R is isomorphic to the direct sum R ⊕ R. Furthermore, we investigate matrices over a neutrosophic field F and derive an explicit formula for the determinant of a neutrosophic matrix.
Zhenqiang Zhou   +2 more
wiley   +1 more source

On an equivalence of fuzzy subgroups III

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 36, Page 2303-2313, 2003., 2003
This paper is the third in a series of papers studying equivalence classes of fuzzy subgroups of a given group under a suitable equivalence relation. We introduce the notion of a pinned flag in order to study the operations sum, intersection and union, and their behavior with respect to the equivalence.
V. Murali, B. B. Makamba
wiley   +1 more source

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