한국지능시스템학회논문지 (Journal of the Korean Institute of Intelligent Systems)

  • 제19권3호
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  • Pages.425-431
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  • 2009
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  • 1976-9172(pISSN)
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  • 2288-2324(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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Interval-Valued Fuzzy Relations

  • Hur, Kur (Division of Mathematics and Informational Statistics, Nanoscale Sciences and Technology Institute, Wonkwang University) ;
  • Lee, Jeong-Gon (Division of Mathematics and Informational Statistics, Nanoscale Sciences and Technology Institute, Wonkwang University) ;
  • Choi, Jeong-Yeol (Division of Mathematics and Informational Statistics, Nanoscale Sciences and Technology Institute, Wonkwang University)
  • 투고 : 2009.01.22
  • 심사 : 2009.05.19
  • 발행 : 2009.06.25
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초록

By using the notion of interval-valued fuzzy relations, we forms the poset (IVFR (X), $\leq$) of interval-valued fuzzy relations on a given set X. In particular, we forms the subposet (IVFE (X), $\leq$) of interval-valued fuzzy equivalence relations on a given set X and prove that the poset (IVFE(X), $\leq$) is a complete lattice with the least element and greatest element.

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과제정보

연구 과제 주관 기관 : Wonkwang University

참고문헌

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피인용 문헌

  1. T-INTERVAL-VALUED FUZZY SUBGROUPS AND RINGS vol.32, pp.4, 2010, https://doi.org/10.5831/HMJ.2010.32.4.545
  2. Interval-valued Fuzzy Ideals and Bi-ideals of a Semigroup vol.11, pp.4, 2011, https://doi.org/10.5391/IJFIS.2011.11.4.259
  3. INTERVAL-VALUED FUZZY SUBGROUPS AND HOMOMORPHISMS vol.33, pp.4, 2011, https://doi.org/10.5831/HMJ.2011.33.4.499
  4. INTERVAL-VALUED FUZZY GENERALIZED BI-IDEALS OF A SEMIGROUP vol.33, pp.4, 2011, https://doi.org/10.5831/HMJ.2011.33.4.603
  5. ON INTERVAL-VALUED FUZZY LATTICES vol.37, pp.2, 2015, https://doi.org/10.5831/HMJ.2015.37.2.187