Results 81 to 90 of about 2,056 (173)

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, Berehanu Bekele Belayneh, Zelalem Teshome Wale, Gezahagne Mulat Addis, G. Muhiuddin   +4 more
wiley   +1 more source

Some Remarks Regarding MTL and Divisible Residuated Algebras

Mathematics
Divisible 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
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, José Antonio Torné‐Zambrano   +1 more
wiley   +1 more source

Some Applications of Fuzzy Sets in Residuated Lattices

Axioms
Many 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, Dana Piciu, Bianca Liana Bercea   +2 more
doaj   +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, Terefe Getachew Beyene, AbdelMaksoud Soliman   +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, Berehanu Bekele Belayneh, Zelalem Teshome Wale, Gezahagne Mulat Addis, John Venetis   +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, Ravikumar Bandaru, Ramakoteswara Rao Kotha, Rahul Shukla, Anwar Saleh Alwardi   +4 more
wiley   +1 more source

An Abstract Approach to Consequence Relations

, 2019
We generalise the Blok-J\'onsson account of structural consequence relations, later developed by Galatos, Tsinakis and other authors, in such a way as to naturally accommodate multiset consequence.
Cintula, Petr, Férez, José Gil, Moraschini, Tommaso, Paoli, Francesco   +3 more
core   +1 more source

On the Use of F-transform on the Reduction of Concept Lattices [PDF]

, 2015
In this paper, we show that F-transform can be used to re- duce relational databases. Subsequently, we show that the respective concept lattice is reduced significantly as well.
Hodakova, Petra, Madrid, Nicolás
core  

Commutative Rings Behind Divisible Residuated Lattices

Mathematics
Divisible residuated lattices are algebraic structures corresponding to a more comprehensive logic than Hajek’s basic logic with an important significance in the study of fuzzy logic.
Cristina Flaut, Dana Piciu
doaj   +1 more source