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Algebraic Properties of (ω, θ)‐Complex Fuzzy Subgroups

open access: yesMathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
This paper defined the notion of (ω, θ)‐complex fuzzy sets, (ω, θ)‐complex fuzzy subgroupoid, and (ω, θ)‐complex fuzzy subgroups and described important examples under (ω, θ)‐complex fuzzy sets. Additionally, we discussed the conjugacy class of group with respect to (ω, θ)‐complex fuzzy normal subgroups.
Ahad Abdullah Al-harshni   +2 more
wiley   +1 more source

BS-Neutrosophic Structures in BCK/BCI-Algebras [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
In this article we generalized a Smarandache’s neutrosophic set as BS-neutrosophic set and it is applied to BCK/BCI-algebras. The concept of BS-neutrosophic subalgebra, BS-neutrosophic ideal and related properties are investigated.
B. Satyanarayana   +2 more
doaj   +1 more source

N-SUBALGEBRAS AND N-IDEALS BASED ON A SUB-BCK-ALGEBRA OF A BCI-ALGEBRA [PDF]

open access: yesCommunications of the Korean Mathematical Society, 2012
Based on a sub-BCK-algebra K of a BCI-algebra X, the notions of N-subalgebras and N-ideals of X are introduced, and their relations/properties are investigated.
Kyoung-Ja Lee, Young-Bae Jun
openaire   +1 more source

Kannan Nonexpansive Operators on Variable Exponent Cesàro Sequence Space of Fuzzy Functions

open access: yesJournal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In general, we have constructed the operator ideal generated by extended s‐fuzzy numbers and a certain space of sequences of fuzzy numbers. An investigation into the conditions sufficient for variable exponent Cesàro sequence space of fuzzy functions furnished with the definite function to create pre‐quasi‐Banach and closed is carried out.
Awad A. Bakery   +2 more
wiley   +1 more source

Generalizations of Fuzzy q‐Ideals of BCI‐Algebras

open access: yesJournal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we introduce the notion of (∈, ∈∨(κ∗, qκ))‐fuzzy q‐ideals of BCI‐algebras to propose a more general form of fuzzy q‐ideals of BCI‐algebras. We prove that (∈, ∈∨q)‐fuzzy q‐ideals and (∈∨(κ∗, qκ), ∈∨(κ∗, qκ))‐fuzzy q‐ideals are (∈, ∈∨(κ∗, qκ))‐fuzzy q‐ideals, but the converse assertion is not valid and examples are given to support this ...
G. Muhiuddin   +5 more
wiley   +1 more source

[Retracted] A Novel Study of Graphs Based on m‐Polar Cubic Structures

open access: yesJournal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
By combining the notions of interval‐valued m‐polar fuzzy graphs and m‐polar fuzzy graphs, the notion of m‐polar cubic graphs is first introduced. Then, the degree of a vertex in m‐polar cubic graphs and complete m‐polar cubic graphs is defined. After that, the concepts of direct product and strong product of m‐polar cubic graphs are given.
G. Muhiuddin   +5 more
wiley   +1 more source

Belligerent Fuzzy GE‐Filters on GE‐Algebras

open access: yesJournal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, the concept of belligerent fuzzy GE‐filter of GE‐algebra is introduced. The relationship between a fuzzy GE‐filter of GE‐algebra and a belligerent fuzzy GE‐filter of GE‐algebra is given. Further, it is shown that a finite product (union) of belligerent fuzzy GE‐filters of GE‐algebras is a belligerent fuzzy GE‐filter of the finite product
Teferi Getachew Alemayehu   +2 more
wiley   +1 more source

BMBJ-neutrosophic subalgebra in BCI/BCK-algebras [PDF]

open access: yesNeutrosophic Sets and Systems, 2019
For the first time Smarandache introduced neutrosophic sets which can be used as a mathematical tool for dealing with indeterminate and inconsistent information.
H. Bordbar   +3 more
doaj   +1 more source

Generalized Cut Functions and n‐Ary Block Codes on UP‐Algebras

open access: yesJournal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, the work is comprised of n‐ary block codes for UP‐algebras and their interrelated properties. n‐ary block codes for a known UP‐algebra is constructed and further it is shown that for each n‐ary block code U, it is easy to associate a UP‐algebra U in such a way that the newly constructed n‐ary block codes generated by U, i.e., Ux, contain
Ali N. A. Koam   +3 more
wiley   +1 more source

Subalgebras of type (α, β) based on m-polar fuzzy points in BCK/BCI-algebras

open access: yesAIMS Mathematics, 2020
In this article, we present the idea of quasi-coincidence of an $m$-polar fuzzy point with an $m$-polar fuzzy subset. By utilizing this new idea, we further introduce the notion of $m$-polar $(\alpha,\beta)$-fuzzy subalgebras in $BCK/BCI$-algebras which ...
Anas Al-Masarwah, Abd Ghafur Ahmad
doaj   +1 more source

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