Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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The Lattice of Interval-Valued Intuitionistic Fuzzy Relations

  • Lee, Keon-Chang (Department of Computer Science, Dongshin University) ;
  • Choi, Ga-Hee (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University) ;
  • Hur, Kul (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
  • 이건창 (동신대학교 컴퓨터학과) ;
  • 최가희 (원광대학교 수학정보통계학부) ;
  • 허걸 (원광대학교 수학정보통계학부)
  • Received : 2010.08.04
  • Accepted : 2011.02.05
  • Published : 2011.02.25
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Abstract

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

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References

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