Results 41 to 50 of about 79,106 (154)
Ideals of BCK-algebras and BCI-algebras Based on a New Form of Fuzzy Set
European Journal of Pure and Applied Mathematics, 2023 Ideals in BCK/BCI algebra based on $Y_J^{\varepsilon}$-fuzzy sets are studied. The fundamental properties of the level set of $Y_J^{\varepsilon}$-fuzzy sets are investigate first. The concept of (closed) $Y_J^{\varepsilon}$-fuzzy ideals in BCK/BCI-algebras is introduces, and several properties are investigated.
Eun Hwan Roh, Eunsuk Yang, Young Bae Jun
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Some Results about Weak UP‐algebras
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 We introduce a new class of algebras, weak UP‐algebras, briefly written as WUP‐algebras, as a wider class than the classes of UP‐algebras and KU‐algebras. We investigate fundamental aspects including maximal elements, branches and the subalgebra consisting of maximal elements of a WUP‐algebra.
Muhammad Anwar Chaudhry +4 more
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N-SUBALGEBRAS AND N-IDEALS BASED ON A SUB-BCK-ALGEBRA OF A BCI-ALGEBRA [PDF]
Communications 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
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Algebraic Properties of (ω, θ)‐Complex Fuzzy Subgroups
Mathematical 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
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Kannan Nonexpansive Operators on Variable Exponent Cesàro Sequence Space of Fuzzy Functions
Journal 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
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Generalizations of Fuzzy q‐Ideals of BCI‐Algebras
Journal 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
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[Retracted] A Novel Study of Graphs Based on m‐Polar Cubic Structures
Journal 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
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Belligerent Fuzzy GE‐Filters on GE‐Algebras
Journal 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
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An ordered structure of pseudo-{\rm BCI}-algebras [PDF]
Mathematica Bohemica, 2016 In Chajda's paper (2014), to an arbitrary BCI-algebra the author assigned an ordered structure with one binary operation which possesses certain antitone mappings.
Ivan Chajda, Helmut Länger
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(inf, sup)-Hesitant Fuzzy Ideals of BCK/BCI-Algebras
International Journal of Analysis and Applications, 2022 In this paper, we introduce the concept of (inf, sup)-hesitant fuzzy ideals, which is a generalization of the concept of interval-valued fuzzy ideals, in BCK/BCI-algebras and its related properties are investigated. The concept is established in terms of
Noppakao Ratchakhwan +5 more
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