• Title/Summary/Keyword: fuzzy strongly

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FUZZY STRONGLY r-SEMICONTINUOUS MAPS

  • Lee, Seok-Jong;Lee, Eun-Pyo
    • Communications of the Korean Mathematical Society
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    • v.18 no.2
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    • pp.341-353
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    • 2003
  • As a generalizaton of the concepts of fuzzy strongly semiopen sets and fuzzy strongly semicontinuous maps, we introduce the concepts of fuzzy strongly r-semiopen sets and fuzzy strongly r-semicontinuous maps in fuzzy topology. Also we introduce fuzzy r-semicontinuous and fuzzy r-semiclosure. By these concept, we characterize fuzzy strongly r-semicontinuous, fuzzy strongly r-semiopen and fuzzy strongly r-semiclosed maps.

FUZZY LESS STRONGLY IRRESOLUTE MAPPINGS AND FUZZY LESS STRONGLY SEMI-CONNECTED SETS

  • Park, Jin-Han;Park, Yong-Beom
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1996.10a
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    • pp.95-100
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    • 1996
  • In this paper, we first introduce fuzzy less strongly irresolute, fuzzy preless strongly semiopen and fuzzy pre-less strongly semiclosed mappings on fuzzy topological space, and establish their various characteristic properties. Finally, we introduce and study fuzzy less strongly semi-connectedness with the help of fuzzy less strongly semiopen sets and fuzzy less strongly semi-q-neighborhoods.

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FUZZY STRONGLY (r, s)-PREOPEN AND PRECLOSED MAPPINGS

  • Lee, Seok-Jong;Kim, Jin-Tae
    • Communications of the Korean Mathematical Society
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    • v.26 no.4
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    • pp.661-667
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    • 2011
  • In this paper, we introduce the notions of fuzzy strongly (r, s)-preopen and preclosed mappings on intuitionistic fuzzy topological spaces in $\check{S}$ostak's sense. The relationships among fuzzy (r, s)-open, fuzzy strongly (r, s)-semiopen, fuzzy (r, s)-preopen, and fuzzy strongly (r, s)-preopen mappings are discussed. The characterizations for the fuzzy strongly (r, s)-preopen and preclosed mappings are obtained.

Fuzzy Almost Strongly (r, s)-Semicontinuous Mappings

  • Lee, Seok-Jong;Kim, Jin-Tae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.12 no.2
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    • pp.149-153
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    • 2012
  • In this paper, we introduce the concept of fuzzy almost strongly (r, s)-semicontinuous mappings on intuitionistic fuzzy topological spaces in $\check{S}$ostak's sense. The relationships among fuzzy strongly (r, s)-semicontinuous, fuzzy almost (r, s)-continuous, fuzzy almost (r, s)-semicontinuous, and fuzzy almost strongly (r, s)-semicontinuous mappings are discussed. The characterization for the fuzzy almost strongly (r, s)-semicontinuous mappings is obtained.

Fuzzy strongly (r, s)-semicontinuous, fuzzy strongly (r, s)-semiopen and fuzzy strongly (r, s)-semiclosed mappings

  • Lee, Eun-Pyo;Kim, Seung-Hoon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.7 no.2
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    • pp.120-126
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    • 2007
  • In this paper, we investigate some of characteristic properties of fuzzy strongly (r, s)-semicontinuous, fuzzy strongly (r, s )-semiopen and fuzzy strongly (r, s )-semiclosed mappings on the intuitionistic fuzzy topological space in \check{S}ostak's$ sense.

STRONGLY PRIME FUZZY IDEALS AND RELATED FUZZY IDEALS IN AN INTEGRAL DOMAIN

  • Kim, Myeong Og;Kim, Hwankoo
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.333-351
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    • 2009
  • We introduce the concepts of strongly prime fuzzy ideals, powerful fuzzy ideals, strongly primary fuzzy ideals, and pseudo-strongly prime fuzzy ideals of an integral domain R and we provide characterizations of pseudo-valuation domains, almost pseudo-valuation domains, and pseudo-almost valuation domains in terms of these fuzzy ideals.

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Fuzzy Strongly r-Semineighborhoods

  • Lee, Seok-Jong;Lee, Seung-On;Park, Ju-Hui
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.3
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    • pp.275-279
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    • 2001
  • In this thesis, we introduce and investigate the notions of a fuzzy strongly r-semineighborhood and a fuzzy strongly r-quasi-semineighborhood in fuzzy topological spaces which are generalizations of a fuzzy strongly semineighborhood and a fuzzy strongly quasi-semineighborhood, respectively.

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FUZZY STRONGLY ${\gamma}$-SEMICONTINUOUS MAPS

  • Lee, Eun-Pyo;Lee, Seok-Jong
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.370-375
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    • 1998
  • We introduce the concepts of fuzzy strongly ${\gamma}$-semiopen sets and fuzzy strongly ${\gamma}$-semicontinuous maps, and investigate some of their basic properties.

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FUZZY STRONGLY r-SEMICONTINUOUS NEIGHBORHOODS

  • Lee, Seok-Jong;Park, Ju-Hui
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.11a
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    • pp.63-66
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    • 2000
  • In this thesis, we introduce and investigate the notions of a fuzzy strongly ${\gamma}$-semineighbor-hood and a fuzzy strogly r-quasi-semineighborhood in fuzzy topological spaces which are generalizations of a fuzzy strongly semineighborhood and a fuzzy strongly quasi-semineighborhood, respectively.

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