Results 61 to 70 of about 133,886 (143)
Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set Theory
Advances in Fuzzy Systems, 2021 In the present paper, using Lukaswize triple-valued logic, we introduce the notion of α,β-intuitionistic fuzzy soft ideal of BCK/BCI-algebras, where α and β are the membership values between an intuitionistic fuzzy soft point and intuitionistic fuzzy set.
G. Muhiuddin +3 more
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A New Interpretation of Multi-Polarity Fuzziness Subalgebras of BCK/BCI-Algebras
Fuzzy Information and Engineering, 2022 In this paper, as a further generalization of m-polar fuzziness subalgebras, we present the conception of an m-polar [Formula: see text]-fuzzy subalgebra in BCK/BCI-algebras and discuss some interesting properties of it.
Anas Al-Masarwah, Abd Ghafur Ahmad
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Subalgebras and Ideals in Fuzzy Normed BCK-algebras and BCI-Algebras
Universal Journal of Mathematics and ApplicationsWe study the interplay between fuzzy BCK/BCI-norms and algebraic substructures in BCK- and BCI-algebras. We show that level subsets induced by a fuzzy BCK/BCI-norm need not form ideals or subalgebras in general, and introduce strong fuzzy normed BCK/BCI-algebras via a strengthened fuzzy triangle inequality.
Youngbae Jun, Ravikumar Bandaru
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On Intuitionistic Fuzzy Translation and Multiplication of PMS‐Ideals in PMS‐Algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this manuscript, we explore the application of intuitionistic fuzzy translations and intuitionistic fuzzy multiplication of intuitionistic fuzzy sets to PMS‐algebras and examine various related properties. We analyze the relationships between an intuitionistic fuzzy PMS‐ideal A of a PMS‐algebra and its corresponding intuitionistic fuzzy ω ...
Beza Lamesgin Derseh, Abdul Rauf Khan
wiley +1 more source
BMBJ-neutrosophic ideals in BCK/BCI-algebras [PDF]
Neutrosophic Sets and Systems, 2019 The concepts of a BMBJ-neutrosophic -subalgebra and a (closed) BMBJ-neutrosophic ideal are introduced, and several properties are investigated. Conditions for an MBJ-neutrosophic set to be a BMBJ-neutrosophic ideal in BCK/BCI-algebras are provided ...
M. Mohseni Takallo +3 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we introduce a bipolar interval‐valued intuitionistic fuzzy (BIVIF) norm, projection, and bidirectional projection measure within the framework of BIVIF topological spaces. These tools enable us to handle ambiguity with greater accuracy, calculate relationships between sets more effectively, and make rational decisions in uncertain ...
Suganya Manivannan +4 more
wiley +1 more source
(∈,∈∨q˘)-Bipolar Fuzzy b-Ideals of BCK/BCI-Algebras
Journal of Function Spaces, 2021 In this paper, the idea of ∈,∈∨q˘-bipolar fuzzy b-ideals and an ∈,∈∨q˘-bipolar fuzzy ideals of BCK/BCI-algebras is delivered, and their related properties are investigated with the aid of some examples.
M. Mursaleen +3 more
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International Journal of Mathematics and Mathematical Sciences, 2001 We introduce a new notion, called a Q-algebra, which is a generalization of the idea of BCH/BCI/BCK-algebras and we generalize some theorems discussed in BCI-algebras.
Joseph Neggers +2 more
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Fuzzy normed BCK-algebras and BCI-algebras
In this paper, we introduce and study the notion of fuzzy normed BCK-algebras and fuzzy normed BCI-algebras as a natural extension of clas sical normed algebraic structures into the fuzzy setting. A fuzzy norm on a BCK/BCI-algebra is defined as a mapping from the algebra and a positive real parameter into the unit interval satisfying suitable axioms ...
Jun, Young Bae, Bandaru, Ravikumar
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A p-Ideal in BCI-Algebras Based on Multipolar Intuitionistic Fuzzy Sets
Mathematics, 2020 In 2020, Kang, Song and Jun introduced the notion of multipolar intuitionistic fuzzy set with finite degree, which is a generalization of intuitionistic fuzzy set, and they applied it to BCK/BCI-algebras.
Jeong-Gon Lee +3 more
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