• Title/Summary/Keyword: fuzzy extensions

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EXTENSIONS OF FUZZY IDEALS IN NEAR-RINGS

  • Lee, Young Chan;Hur, Chang Kyu
    • Journal of the Chungcheong Mathematical Society
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    • v.10 no.1
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    • pp.1-7
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    • 1997
  • We characterize fuzzy ideals in near-rings and extensions of such ideals with the sup property.

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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.

FUZZY TRANSLATIONS AND FUZZY MULTIPLICATIONS OF BCK/BCI-ALGEBRAS

  • Lee, Kyoung-Ja;Jun, Young-Bae;Doh, Myung-Im
    • Communications of the Korean Mathematical Society
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    • v.24 no.3
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    • pp.353-360
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    • 2009
  • Fuzzy translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications of fuzzy subalgebras in BCK/BCI-algebras are discussed. Relations among fuzzy translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications are investigated.

On the goodness of some types of fuzzy paracompactness in Sostak's fuzzy topology

  • Kim, Yong-Chan;Abbas, S.E.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.5 no.1
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    • pp.64-68
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    • 2005
  • We introduce in Sostak's fuzzy topological spaces definitions of paracompactness, almost paracompactness, and near paracompactness all of which turn to be good extensions of their classical topological counterparts. Fuzzy semi-paracompact, para S-closed and weakly paracompact spaces are treated to a similar approach.

ON THE CONTINUITY OF THE ZADEH EXTENSIONS

  • Goo, Yoon Hoe;Park, Jong Suh
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.4
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    • pp.525-533
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    • 2007
  • In this paper, we prove the continuity of the Zadeh extensions for continuous surjections and for semiflows.

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T-FUZZY INTEGRALS OF SET-VALUED MAPPINGS

  • CHO, SUNG JIN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.1
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    • pp.39-48
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    • 2000
  • In this paper we define T-fuzzy integrals of set-valued mappings, which are extensions of fuzzy integrals of the single-valued functions defined by Sugeno. And we discuss their properties.

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Some Properties of Alexandrov Topologies

  • Kim, Yong Chan;Kim, Young Sun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.15 no.1
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    • pp.72-78
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    • 2015
  • Alexandrov topologies are the topologies induced by relations. This paper addresses the properties of Alexandrov topologies as the extensions of strong topologies and strong cotopologies in complete residuated lattices. With the concepts of Zhang's completeness, the notions are discussed as extensions of interior and closure operators in a sense as Pawlak's the rough set theory. It is shown that interior operators are meet preserving maps and closure operators are join preserving maps in the perspective of Zhang's definition.

GENERALIZED VECTOR-VALUED VARIATIONAL INEQUALITIES AND FUZZY EXTENSIONS

  • Lee, Byung-Soo;Lee, Gue-Myung;Kim, Do-Sang
    • Journal of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.609-624
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    • 1996
  • Recently, Giannessi [9] firstly introduced the vector-valued variational inequalities in a real Euclidean space. Later Chen et al. [5] intensively discussed vector-valued variational inequalities and vector-valued quasi variationl inequalities in Banach spaces. They [4-8] proved some existence theorems for the solutions of vector-valued variational inequalities and vector-valued quasi-variational inequalities. Lee et al. [14] established the existence theorem for the solutions of vector-valued variational inequalities for multifunctions in reflexive Banach spaces.

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