• Title/Summary/Keyword: implicative

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C(S) extensions of S-I-BCK-algebras

  • Zhaomu Chen;Yisheng Huang;Roh, Eun-Hwan
    • Communications of the Korean Mathematical Society
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    • v.10 no.3
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    • pp.499-518
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    • 1995
  • In this paper we consider more systematically the centralizer C(S) of the set $S = {f_a $\mid$ f_a : X \to X ; x \longmapsto x * a, a \in X}$ with respect to the semigroup End(X) of all endomorphisms of an implicative BCK-algebra X with the condition (S). We obtain a series of interesting results. The main results are stated as follows : (1) C(S) with repect to a binary operation * defined in a certain way forms a bounded implicative BCK-algebra with the condition (S). (2) X can be imbedded in C(S) such that X is an ideal of C(S)/ (3) If X is not bounded, it can be imbedded in a bounded subalgebra T of C(S) such that X is a maximal ideal of T. (4) If $X (\neq {0})$ is semisimple, C(S) is BCK-isomorphic to $\prod_{i \in I}{A_i}$ in which ${A_i}_{i \in I}$ is simple ideal family of X.

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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.

STRONG DEDUCTIVE SYSTEMS OF BL-ALGEBRAS

  • Jun, Young-Bae;Park, Chul-Hwan;Doh, Myung-Im
    • Honam Mathematical Journal
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    • v.29 no.3
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    • pp.445-453
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    • 2007
  • The notion of strong deductive system of a BL-algebra is introduced, and a characterization of a strong deductive system is given. A relation between a strong deductive system and a deductive system is given. It will be seen that every strong deductive system can be expressed as the union of special sets.

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.

STABILITY OF FUZZY DYNAMIC CONTROL SYSTEM: The Cell-State Transition Method

  • Kang, Hoon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.1078-1081
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    • 1993
  • The Objective of this paper is to provide fuzzy control designers with a design tool for stable fuzzy logic controllers. Given multiple sets of data disturbed by vagueness uncertainty, we generate the implicative rules that guarantee stability and robustness of closed-loop fuzzy dynamic systems. We propose the cell-state transition method which utilizes Hsu's cell-to-cell mapping concept [1]. As a result, a generic and implementable design methodology for obtaining a fuzzy feedback gain K, a fuzzy hypercube [2], is provided and illustrated with simple examples.

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Lumbar Intraspinal Extradural Ganglion Cysts

  • Cho, Sung-Min;Rhee, Woo-Tack;Choi, Soo-Jung;Eom, Dae-Woon
    • Journal of Korean Neurosurgical Society
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    • v.46 no.1
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    • pp.56-59
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    • 2009
  • The lumbar intraspinal epidural ganglion cyst has been a rare cause of the low back pain or leg pain. Ganglion cysts and synovial cysts compose the juxtafacet cysts. Extensive studies have been performed about the synovial cysts, however, very little has been known about the ganglion cyst. Current report is about two ganglion cysts associated with implicative findings in young male patients. We discuss about the underlying pathology of the ganglion cyst based on intraoperative evidences, associated disc herniation at the same location or severe degeneration of the ligament flavum that the cyst originated from in young patients.

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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