• 제목/요약/키워드: BCK-point

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NEW TYPES OF FUZZY BCK-FILTERS

  • Jun, Young-Bae
    • 호남수학학술지
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    • 제31권2호
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    • pp.157-166
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    • 2009
  • Using more general form of the notion of quasi-coincidence of a fuzzy point with a fuzzy subset, the notion of ($({\in},{\in}{\bigvee}q_{\kappa})$)-fuzzy BCK-filters is introduced, and related properties are investigated. Many characterizations of ($({\in},{\in}{\bigvee}q_{\kappa})$)-fuzzy BCK-filters are provided. Relations between an ($({\in},{\in}{\bigvee}q_{\kappa})$)-fuzzy BCK-filter and a fuzzy BCK-filter are established.

ON SOME COMPUTATIONAL ALGORITHMS FOR n-FOLD IDEALS IN BCK-ALGEBRAS

  • Lele, Celestin;Moutari, Salissou
    • Journal of applied mathematics & informatics
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    • 제23권1_2호
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    • pp.369-383
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    • 2007
  • This paper is devoted to the foldness theory of implicative ideals in BCK-algebras. We use the fuzzy point concept to give some characterizations of fuzzy n-fold implicative ideals and establish some relationships with various n-fold ideals. We also construct some algorithms for studying the foldness of implicative ideals in BCK-algebras.

DEFORMATIONS OF d/BCK-ALGEBRAS

  • Allen, Paul J.;Kim, Hee-Sik;Neggers, Joseph
    • 대한수학회보
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    • 제48권2호
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    • pp.315-324
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    • 2011
  • In this paper, we study the effects of a deformation mapping on the resulting deformation d/BCK-algebra obtained via such a deformation mapping. Besides providing a method of constructing d-algebras from BCK-algebras, it also highlights the special properties of the standard BCK-algebras of posets as opposed to the properties of the class of divisible d/BCK-algebras which appear to be of interest and which form a new class of d/BCK-algebras insofar as its not having been identified before.

CONSTRUCTION OF MANY d-ALGEBRAS

  • Allen, Paul J.
    • 대한수학회논문집
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    • 제24권3호
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    • pp.361-366
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    • 2009
  • In this paper we consider constructive function triples on the real numbers $\mathbb{R}$ and on (not necessarily commutative) integral domains D which permit the construction of a multitude of d-algebras via these constructive function triples. At the same time these constructions permit one to consider various conditions on these d-algebras for subsets of solutions of various equations, thereby producing geometric problems and interesting visualizations of some of these subsets of solutions. In particular, one may consider what notions such as "locally BCK" ought to mean, certainly in the setting provided below.

N-SUBALGEBRAS OF TYPE (∈, ∈ ∨ q) BASED ON POINT N-STRUCTURES IN BCK/BCI-ALGEBRAS

  • Lee, Kyoung-Ja;Jun, Young-Bae;Zhang, Xiaohong
    • 대한수학회논문집
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    • 제27권3호
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    • pp.431-439
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    • 2012
  • Characterizations of $\mathcal{N}$-subalgebra of type (${\in}$, ${\in}{\vee}q$) are provided. The notion of $\mathcal{N}$-subalgebras of type ($\bar{\in}$, $\bar{\in}{\vee}\bar{q}$) is introduced, and its characterizations are discussed. Conditions for an $\mathcal{N}$-subalgebra of type (${\in}$, ${\in}{\vee}q$) (resp. ($\bar{\in}$, $\bar{\in}{\vee}\bar{q}$) to be an $\mathcal{N}$-subalgebra of type (${\in}$, ${\in}$) are considered.