Results 31 to 40 of about 199 (160)

Fuzzy Ideals in Pseudo‐Hoop Algebras

International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022
In this study, fuzzy ideals in pseudo‐hoop algebras are presented. Also, we investigate fuzzy congruences relations on pseudo‐hoop algebras induced by fuzzy ideals. By using fuzzy ideals, we create the fuzzy quotient pseudo‐hoop algebras and identify and demonstrate the one‐to‐one relationship between the set of all normal fuzzy ideals of a pseudo‐hoop
Teferi Getachew Alemayehu, Maria A. Lledo   +1 more
wiley   +1 more source

On Semitopological De Morgan Residuated Lattices [PDF]

Transactions on Fuzzy Sets and Systems, 2023
The class of De Morgan residuated lattices was introduced by L‎. ‎C‎. ‎Holdon (Kybernetika 54(3):443-475‎, ‎2018)‎, ‎recently‎, ‎many mathematicians have studied the theory of ideals or filters in De Morgan residuated lattices and some of them ...
Liviu-Constantin Holdon
doaj   +1 more source

Monadic Effect Algebras

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The main goal of this paper is to introduce and investigate the related theory on monadic effect algebras. First, we design the axiomatic system of existential quantifiers on effect algebras and then use it to give the definition of the universal quantifier and monadic effect algebras.
Yuxi Zou, Xiaolong Xin, Li Guo
wiley   +1 more source

Regular Partial Residuated Lattices and Their Filters

Mathematics, 2022
To express wider uncertainty, Běhounek and Daňková studied fuzzy partial logic and partial function. At the same time, Borzooei generalized t-norms and put forward the concept of partial t-norms when studying lattice valued quantum effect algebras. Based
Nan Sheng, Xiaohong Zhang
doaj   +1 more source

Certain Concepts of Q‐Hesitant Fuzzy Ideals

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The hesitant fuzzy set model has attracted the interest of scholars in various fields. The striking framework of hesitant fuzzy sets is keen to provide a larger domain of preference for fuzzy information modeling of deployment membership. Starting from the hybrid properties of hesitant fuzzy ideals (HFI), this paper constructs a new generalized hybrid ...
Lubna Abdul Aziz Alleheb, Kholood Mohammad Alsager, Ganesh Ghorai   +2 more
wiley   +1 more source

On residuated skew lattices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we define residuated skew lattice as non-commutative generalization of residuated lattice and investigate its properties. We show that Green’s relation 𝔻 is a congruence relation on residuated skew lattice and its quotient algebra is a ...
Saeid Arsham Borumand, Koohnavard Roghayeh   +1 more
doaj   +1 more source

Gődel filters in residuated lattices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper, in the spirit of [4], we study a new type of filters in residuated lattices : Gődel filters. So, we characterize the filters for which the quotient algebra that is constructed via these filters is a Gődel algebra and we establish the ...
Piciu Dana, Dan Christina Theresia, Dina Anca   +2 more
doaj   +1 more source

n-Normal residuated lattices [PDF]

Soft Computing, 2019
The notion of $n$-normal residuated lattice, as a class of residuated lattices in which every prime filter contains at most $n$ minimal prime filters, is introduced and studied. Before that, the notion of $ω$-filter is introduced and it is observed that the set of $ω$-filters in a residuated lattice forms a distributive lattice on its own, which ...
Saeed Rasouli, Michiro Kondo
openaire   +3 more sources

Residuated Structures Derived from Commutative Idempotent Semirings

Discussiones Mathematicae - General Algebra and Applications, 2019
Since the reduct of every residuated lattice is a semiring, we can ask under what condition a semiring can be converted into a residuated lattice. It turns out that this is possible if the semiring in question is commutative, idempotent, G-simple and ...
Chajda Ivan, Länger Helmut
doaj   +1 more source

Hyper Rl-Ideals in Hyper Residuated Lattices

Discussiones Mathematicae - General Algebra and Applications, 2022
In this paper, we introduce the notion of a (strong) hyper RL-ideal in hyper residuated lattices and give some properties and characterizations of them.
Bakhshi Mahmood
doaj   +1 more source