Results 61 to 70 of about 176 (149)

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, Anwar J. Fawakhreh, Tareq M. Al-shami, Smritijit Sen   +3 more
wiley   +1 more source

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

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

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

Topological Structures of Fuzzy Modal Logics Based on Residuated Lattices

Mathematics
The purpose of this paper is to interpret fuzzy Kripke models as fuzzy information systems with objects and attributes. We introduce topological structures (interior, closure operators, Alexandrov pretopologies, Alexandrov precotopologies, fuzzy rough ...
Yong Chan Kim, Young-Hee Kim
doaj   +1 more source

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

ℒ-Fuzzy Ideals of Residuated Lattices

Discussiones Mathematicae - General Algebra and Applications, 2019
This paper mainly focuses on building the ℒ-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ℒ-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion
Kengne Pierre Carole, Koguep Blaise Blériot, Akume Daniel, Lele Celestin   +3 more
doaj   +1 more source

Fuzzy ideals and fuzzy congruences of co-residuated lattices [PDF]

Journal of Hebei University of Science and Technology
In order to expand the theory of fuzzy logic algebra, the fuzzy ideals and fuzzy congruences of co-residuated lattices and their interrelationships were studied.
Xinyue HAN, Wei YAO
doaj   +1 more source