Results 1 to 10 of about 55 (39)

Connections Between Ideals Of Semisimple Emv-algebras And Set-theoretic Filters [PDF]

Ratio Mathematica, 2022
In this paper, we mainly study connections between ideals of the semisimple EMV-algebra M and filters on some nonempty set Ω. We show that there is a bijection between the set of all closed ideals of M and the set of all filters on Ω.
Liu, Hongxing, Zhang, Xiaoxue
core   +4 more sources

(⊙, ∨)-Derivations on EMV-algebras and EBL-algebras [PDF]

Ratio Mathematica
In the paper, we will study (∘, ∨)-derivations on EMV-algebras and EBL-algebras. Firstly, we define the notions of (∘, ∨)-derivations on EMV-algebras and EBL-algebras, and we also introduce some classes of (∘, ∨)-derivations on EMV-algebras and EBL ...
Hongxing Liu, Tao Liu
core   +4 more sources

On EMV-algebras [PDF]

Fuzzy Sets and Systems, 2019
The paper deals with an algebraic extension of $MV$-algebras based on the definition of generalized Boolean algebras. We introduce a new algebraic structure, not necessarily with a top element, which is called an $EMV$-algebra and every $EMV$-algebra contains an $MV$-algebra.
Anatolij Dvurečenskij, Omid Zahiri
  +13 more sources

A variety containing EMV-algebras and Pierce sheaves of EMV-algebras

Fuzzy Sets and Systems, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dvurečenskij, Anatolij, Zahiri, Omid
openaire   +4 more sources

On extended quasi-MV algebras [PDF]

, 2021
In this paper, we introduce a new algebraic structure called extended quasi-MV algebras, which are generalizations of quasi-MV algebras. The notions of ideals, ideal congruences and filters in Equasi-MV algebras were introduced and their mutual ...
Liu, Hongxing, Liu, Mengmeng
core   +1 more source

On EMV-Semirings [PDF]

, 2019
The paper deals with an algebraic extension of MV-semirings based on the definition of generalized Boolean algebras. We propose a semiring-theoretic approach to EMV-algebras based on the connections between such algebras and idempotent semirings.
A. Di Nola, M. Shenavaei, O. Zahiri, R. A. Borzooei   +3 more
core   +1 more source

Morphisms on $${ EMV}$$ EMV -algebras and their applications

Soft Computing, 2018
For a new class of algebras, called $EMV$-algebras, every idempotent element $a$ determines an $MV$-algebra which is important for the structure of the $EMV$-algebra. Therefore, instead of standard homomorphisms of $EMV$-algebras, we introduce $EMV$-morphisms as a family of $MV$-homomorphisms from $MV$-algebras $[0,a]$ into other ones.
Dvurečenskij, Anatolij, Zahiri, Omid
openaire   +2 more sources

The Loomis--Sikorski Theorem for $EMV$-algebras

, 2017
Recently, in [DvZa], we have introduced $EMV$-algebras which resemble $MV$-algebras but the top element is not guaranteed for them. For $ $-complete $EMV$-algebras, we prove an analogue of the Loomis--Sikorski Theorem showing that every $ $-complete $EMV$-algebra is a $ $-homomorphic image of an $EMV$-tribe of fuzzy sets where all algebraic ...
Dvurečenskij, Anatolij, Zahiri, Omid
openaire   +3 more sources

Ricci-Notation Tensor Framework for Model-based Approaches to Imaging

Model-based approaches to imaging, like specialized image enhancements in astronomy, facilitate explanations of relationships between observed inputs and computed outputs.
Joseph, Dileepan
core   +1 more source

A short note on categorical equivalences of proper weak pseudo EMV-algebras [PDF]

Journal of Algebraic Hyperstructures and Logical Algebras, 2022
openaire   +1 more source