Results 21 to 30 of about 79,106 (154)

Graphs Based on BCK/BCI-Algebras [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
The associated graphs of BCK/BCI-algebras will be studied. To do so, the notions of (l-prime) quasi-ideals and zero divisors are first introduced and related properties are investigated. The concept of associative graph of a BCK/BCI-algebra is introduced,
Young Bae Jun, Kyoung Ja Lee
doaj   +2 more sources

Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
Smarandache implemented the idea of neutrosophic set theory as a method for dealing undetermined data. Neutrosophic set theory is commonly used in various algebric structures, such as groups, rings and BCK/BCI-algebras.
Anas Al-Masarwah, Abd Ghafur Ahmad
doaj   +2 more sources

Fuzzy Set Theoretic Approach to Generalized Ideals in BCK/BCI-Algebras

open access: yesJournal of Function Spaces, 2022
This paper deals with the study of generalizations of fuzzy subalgebras and fuzzy ideals in BCK/BCI-algebras. In fact, the notions of ∈,∈∨κ~∗,qκ~-fuzzy subalgebras, ∈,∈∨κ~∗,qκ~-fuzzy ideals, and ∈∨κ~∗,qκ~,∈∨κ~∗,qκ~-fuzzy ideals in BCK/BCI-algebras are ...
G. Muhiuddin   +7 more
doaj   +2 more sources

Interval neutrosophic sets applied to ideals in BCK/BCI-algebras [PDF]

open access: yesNeutrosophic Sets and Systems, 2017
In this article, we apply the notion of interval neutrosophic sets to ideal theory in BCK/BCI-algebras.
Seok-Zun Song   +3 more
doaj   +3 more sources

Soft BCK/BCI-algebras

open access: yesComputers and Mathematics With Applications, 2008
Molodtsov [D. Molodtsov, Soft set theory — First results, Comput. Math. Appl. 37 (1999) 19–31] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual ...
Young Bae Jun
exaly   +2 more sources

Generalizations of (∈,∈∨q)-fuzzy subalgebras in BCK/BCI-algebras

open access: yesComputers and Mathematics With Applications, 2009
More general form of the notion of quasi-coincidence of a fuzzy point with a fuzzy set is considered, and generalizations of results in the papers [Y. B. Jun, On (α,β)-fuzzy subalgebras of BCK/BCI-algebras, Bull. Korean Math. Soc.
Young Bae Jun
exaly   +2 more sources

Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets [PDF]

open access: yesThe Scientific World Journal, 2014
Operations of cubic soft sets including “AND” operation and “OR” operation based on P-orders and R-orders are introduced and some related properties are investigated.
G. Muhiuddin, Feng Feng, Young Bae Jun
doaj   +2 more sources

Length Neutrosophic Subalgebras of BCK=BCI-Algebras

open access: yesBulletin of the Section of Logic, 2020
Given i, j, k ∈ {1,2,3,4}, the notion of (i, j, k)-length neutrosophic subalgebras in BCK=BCI-algebras is introduced, and their properties are investigated.
Young Bae Jun   +3 more
doaj   +3 more sources

Fuzzy soft set theory applied to BCK/BCI-algebras

open access: yesComputers and Mathematics With Applications, 2010
In the paper [P.K. Maji, R. Biswas, A.R. Roy, Fuzzy soft sets, J. Fuzzy Math. 9 (3) (2001) 589–602], Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets, and presented an application of fuzzy soft sets in a
Young Bae Jun   +2 more
exaly   +2 more sources

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

open access: yesNeutrosophic 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
doaj   +2 more sources

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