Results 61 to 70 of about 200 (159)

Mp-Residuated Lattices

Kragujevac Journal of Mathematics
This 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
openaire   +3 more sources

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

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

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

Topological Information Systems in a Complete Co-Residuated Lattice

Axioms
In this paper, we introduce topological information systems between objects with a distance and attributes with a distance based on a complete co-residuated lattice. We can obtain two distances and Alexandrov topologies for objects and attributes from an
Yong Chan Kim, Young-Hee Kim
doaj   +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

Normal filters in residuated lattices

Le Matematiche, 2015
Residuated lattices play an important role in the study of fuzzy logic. In the present paper, we introduce the notion of a normal filter in a residuated lattice and give some characterizations of them.
Lida Torkzadeh, A. Ahadpanah
doaj  

New topology in residuated lattices

Open Mathematics, 2018
In this paper, by using the notion of upsets in residuated lattices and defining the operator Da(X), for an upset X of a residuated lattice L we construct a new topology denoted by τa and (L, τa) becomes a topological space.
Holdon L.C.
doaj   +1 more source

Solving Generalized Equations with Bounded Variables and Multiple Residuated Operators

Mathematics, 2020
This paper studies the resolution of sup-inequalities and sup-equations with bounded variables such that the sup-composition is defined by using different residuated operators of a given distributive biresiduated multi-adjoint lattice. Specifically, this
M. Eugenia Cornejo, David Lobo, Jesús Medina   +2 more
doaj   +1 more source