• Title/Summary/Keyword: positive implicative

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BCK-ALGEBRAS INDUCED BY EXTENDED POGROUPOIDS

  • Ahn, Sun Shin;Kim, Hee Sik
    • Journal of the Chungcheong Mathematical Society
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    • v.11 no.1
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    • pp.53-58
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    • 1998
  • In this paper we study (positive) implicativeness of $BCK^{\star}(X^{\star})$, and investigate some properties of ideals in $BCK^{\star}(X)$.

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Γ - BCK-ALGEBRAS

  • Eun, Gwang Sik;Lee, Young Chan
    • Journal of the Chungcheong Mathematical Society
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    • v.9 no.1
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    • pp.11-15
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    • 1996
  • In this paper we prove that if Y is a poset of the form $\underline{1}{\oplus}Y^{\prime}$ for some subposet Y' then BCK(Y) is a ${\Gamma}$-BCK-algebra. Moreover, if X is a BCI-algebra then Hom(X, BCK(Y)) is a positive implicative ${\Gamma}$-BCK-algebra.

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SOME RESULTS ON FUZZY IDEAL EXTENSIONS OF BCK-ALGEBRAS

  • Jeong, Won-Kyun
    • East Asian mathematical journal
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    • v.26 no.3
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    • pp.379-387
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    • 2010
  • In this paper, we prove that the extension ideal of a fuzzy characteristic ideal of a positive implicative BCK-algebra is a fuzzy characteristic ideal. We introduce the notion of the extension of intuitionistic fuzzy ideal of BCK-algebras and some properties of fuzzy intuitionistic ideal extensions of BCK-algebra are investigated.

FSI-IDEALS AND FSC-IDEALS OF BCI-ALGEBRAS

  • Liu, Yong-Lin;Liu, San-Yang;Meng, Jie
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.1
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    • pp.167-179
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    • 2004
  • The notions of FSI-ideals and FSC-ideals in BCI-algebras are introduced. The characterization properties of FSI-ideals and FSC-ideals are obtained. We investigate the relations between FSI-ideals (resp. FSC-ideals) and other fuzzy ideals, between FSI-ideals (resp. FSC-ideals) and BCI-algebras, and show that a fuzzy subset of a BCI-algebra is an FSI-ideal if and only if it is both an FSC-ideal and a fuzzy BCI-positive implicative ideal.

ON KERNELS AND ANNIHILATORS OF LEFT-REGULAR MAPPINGS IN d-ALGEBRAS

  • Ahn, Sun-Shin;So, Keum-Sook
    • Honam Mathematical Journal
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    • v.30 no.4
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    • pp.645-658
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    • 2008
  • In this paper, left-regular maps on d-algebras are defined. These mappings show behaviors reminiscent of homomorphisms on d-algebras which have been studied elsewhere. In particular for these mappings kernels, annihilators and co-annihilators are defined and some of their properties are investigated, especially in the setting of positive implicative d-algebras.

AN APPLICATION OF COMPLICATEDNESS TO BH-ALGEBRAS

  • Kim, Eun-Mi;Ahn, Sun-Shin
    • The Pure and Applied Mathematics
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    • v.18 no.4
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    • pp.293-304
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    • 2011
  • The notions of an initial section and a special set in BH-algebras are defined and some of their properties are obtained. The notion of a complicated BH-algebra is introduced and some related properties are obtained. Finally, the notion of essences in BH-algebras are defined, and many properties are investigated.

An Analysis on strategies of creativity in advertising design applicable to AIDA model (AIDA Model을 적용한 광고디자인의 표현전략분석)

  • 나윤화
    • Archives of design research
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    • v.14
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    • pp.9-18
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    • 1996
  • This is a study for importance of creativity in design. In the modern industrial developments in Korea has brought increase of consumptional products, by this reason. we are interested in the advertising industry for purpose of booming currents. But Comparing with the development of general advertising industry, it is not so long that understanding of advertising design has become important problm and spacially importance of creativity. Therefore According as the usefulness of advertisement is growing, we are concerned of the study of advertising effects. Now creatived expression is required without a moment delay because of the point of discrimination about too many advertisements. So, Advertising design has a role of positive communication which is passed into the life of modern man deeply. So for the dffective and impactive communication in the short time and on the limit space against implicative message, the study for importance of creativity in advertising expression has common purpose contact floody advertising everyday. Therefore this thesis try to seek Strategies of creativity in order to effective advertising expression.

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(SKEW) FILTERS IN RESIDUATED SKEW LATTICES: PART II

  • Koohnavard, Roghayeh;Saeid, Arsham Borumand
    • Honam Mathematical Journal
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    • v.40 no.3
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    • pp.401-431
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    • 2018
  • In this paper, some kinds of (skew) filters are defined and are studied in residuated skew lattices. Some relations are got between these filters and quotient algebras constructed via these filters. The Green filter is defined which establishes a connection between residuated lattices and residuated skew lattices. It is investigated that relationships between Green filter and other types of filters in residuated skew lattices and the relationship between residuated skew lattice and other skew structures are studied. It is proved that for a residuated skew lattice, skew Hilbert algebra and skew G-algebra are equivalent too.