Results 81 to 90 of about 643 (188)

Fuzzy BCI-subalgebras with interval-valued membership functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
The purpose of this paper is to define the notion of an interval-valued fuzzy BCI-subalgebra (briefly, an i-v fuzzy BCI-subalgebra) of a BCI-algebra. Necessary and sufficient conditions for an i-v fuzzy set to be an i-v fuzzy BCI-subalgebra are stated. A
Sung Min Hong   +3 more
doaj   +1 more source

Hybrid Structures Applied to Ideals in BCI-Algebras

open access: yesJournal of Mathematics, 2020
In this paper, the notion of hybrid structure is applied to the ideal theory in BCI-algebras. In fact, we introduce the notions of hybrid p-ideal, hybrid h-ideal, and hybrid a-ideal in BCI-algebras and investigate their related properties.
G. Muhiuddin, D. Al-Kadi, A. Mahboob
doaj   +1 more source

MBJ-neutrosophic hyper BCK-ideals in hyper BCK-algebras

open access: yesAIMS Mathematics, 2021
In 2018, Takallo et al. introduced the concept of an MBJ-neutrosophic structure, which is a generalization of a neutrosophic structure, and applied it to a BCK/BCI-algebra.
Abdelaziz Alsubie, Anas Al-Masarwah
doaj   +1 more source

T‐fuzzy ideals in BCI‐algebras [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
Using a t‐norm T, we introduce the notions of T‐fuzzy subalgebras and T‐fuzzy H‐ideals in BCI‐algebras and investigate some of their properties.
M. Akram, K. H. Dar
openaire   +3 more sources

On f-derivations of BCI-algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
The notion of left-right (resp., right-left) f-derivation of a BCI-algebra is introduced, and some related properties are investigated. Using the idea of regular f-derivation, we give characterizations of a p-semisimple BCI-algerba.
Jianming Zhan, Yong Lin Liu
doaj   +1 more source

An ordered structure of pseudo-BCI-algebras [PDF]

open access: yesMathematica Bohemica, 2016
To any pseudo-BCI-algebra [the reviewer and \textit{Y. B. Jun}, East Asian Math. J. 24, No. 2, 187--190 (2008; Zbl 1149.06010)], two binary operations (each of them being similar to that of a directoid) and a set of couples of antitone mappings is assigned which are in a certain sense mutually inverse.
Ivan Chajda, Helmut Länger
openaire   +3 more sources

Syarat Perlu Dan Cukup Subaljabar Merupakan Ideal di Dalam Aljabar BCI [PDF]

open access: yes, 2006
Di dalam tulisan ini dibahas syarat perlu dan syarat cukup agar subaljabar merupakan ideal di dalam aljabar BCI. Dari suatu aljabar BCI X, dikonstruksikan P(X) dan SP(X) dan direct product ...
Sri Wahyuni, -, Yeni, Susanti
core  

On the generalization of pseudo p-closure in pseudo BCI-algebras [PDF]

open access: yesJournal of Hyperstructures
In this paper, the notion of generalization of pseudo p-closure, denoted by gcl, is introduced and its related properties are investigated. The gcl of subalgebras and pseudo-ideals is discussed.
Padena Pirzadeh Ahvazi   +2 more
doaj   +1 more source

Multipolar Intuitionistic Fuzzy Set with Finite Degree and Its Application in BCK/BCI-Algebras

open access: yesMathematics, 2020
When events occur in everyday life, it is sometimes advantageous to approach them in two directions to find a solution for them. As a mathematical tool to handle these things, we can consider the intuitionistic fuzzy set. However, when events are complex
Kyung Tae Kang   +2 more
doaj   +1 more source

Łukasiewicz anti fuzzy subalgebras of BCK/BCI-algebras [PDF]

open access: yes
The subalgebra of BCK/BCI-algebra using Łukasiewicz anti fuzzy set introduced by Jun is studied in this article. The concept of Łukasiewicz anti fuzzy subalgebra of a BCK/BCI-algebra is introduced, and several properties are investigated.
Bordbar, Hashem, Kang, Jeong Gi
core   +2 more sources

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