Results 71 to 80 of about 427,892 (185)
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
Co-stone Residuated Lattices [PDF]
2010 40th IEEE International Symposium on Multiple-Valued Logic, 2010 33 ...
openaire +3 more sources
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
wiley +1 more source
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
wiley +1 more source
The residuated lattice-orderability of idempotent monoids [PDF]
In this paper, we study a class of residuated lattices, namely, conical idempotent residuated lattices. We give necessary and sufficient conditions for an idempotent semigroup with an identity to be the semigroup reduct of some conical idempotent ...
Chen, Wei
core +1 more source
A note on operations of hesitant fuzzy sets [PDF]
International Journal of Computational Intelligence Systems, 2015 In this paper, properties of operations and algebraic structures of hesitant fuzzy sets are investigated. Semilattices of hesitant fuzzy sets with union and intersection are discussed, respectively.
Zheng Pei, Liangzhong Yi
doaj +1 more source
Computational reaching of quantified consequences from imperfect initial data
Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 4232-4243, 15 March 2025.Usually, it is not direct to translate theoretical results to practice. One of the challenges is the real computation of solutions to proposed problems, when infinite numbers (such as real numbers or the unit interval) are considered. The same is true when consequences (information) from a data set modeled by logical rules need to be obtained.
Jesús Medina +1 more
wiley +1 more source
Studying the Theory of Hoops Through Some Type of Filters
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.It is known that the class of hoops is ideally determined, in the sense that every filter of any hoop H is a 1‐class of a unique congruence relation on H. This confirms that every filter in a hoop determines one and only one quotient structure. So, given a hoop H and a filter π of H, it is natural to question ourselves what should be the defining ...
Gezahagne Mulat Addis +2 more
wiley +1 more source
The Spectral Space of H‐Fuzzy Prime Ideals in Distributive Join‐Semilattices
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.The essential characteristics of H‐fuzzy prime ideals and H‐fuzzy maximal ideals within distributive join‐semilattices are introduced and examined in this work. We present a number of characterization theorems and prove findings related to the prime ideal theorem. We show that every H‐fuzzy prime ideal (or H‐fuzzy maximal ideal) has exactly two values:
Mohammed Amare Mohammed +4 more
wiley +1 more source
Topological Properties of Prime Filters and Minimal Prime Filters on a Paradistributive Latticoid
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.In this paper, we study the concepts of prime filters and minimal prime filters on a paradistributive latticoid (PDL) and discuss various results. In addition, we prove that the annihilator filter S• is equal to the intersection of all prime filters not containing S.
Suryavardhani Ajjarapu +4 more
wiley +1 more source