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A study on the transitivity of interval-valued inclusion measures

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H.Y. Zhang and W.X. Zhang [12] studied the basic property of inclusion measure, that is, the transitivity of inclusion measures. We consider arithmetical operations on the class of intervals on the unit set [0.1] and interval-valued inclusion measures. In this paper, we investigate the transitivity of interval-valued inclusion measures.

Abstract

H.Y. Zhang and W.X. Zhang [12] studied the basic property of inclusion measure, that is, the transitivity of inclusion measures. We consider arithmetical operations on the class of intervals on the unit set [0.1] and interval-valued inclusion measures. In this paper, we investigate the transitivity of interval-valued inclusion measures.

참고문헌 (15)

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  4. H. M. Kim, "On closed set-valued Choquet integrals with respect to non-monotonic fuzzy measures", Proceedings of ther Jangjeon Mathematical Society, 7, pp.109~116 (2004)
  5. 장이채, "A note on interval-valued inclusion measures", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 12(2), pp.157~163 (2009), 장전수학회
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  11. V. R. Young, "Fuzzy subsethood", Fuzzy Sets and Systems, 77, pp.371~384 (1996)
  12. H. Y. Zhang, "Hybrid monotonic inclusion measure and its use in measuring similarity and distance between fuzzy sets", Fuzzy Sets and Systems, 160, pp.107~118 (2009)
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  14. W. X. Zhang, "Information Systems and Knowledge Discovery" (2003), Science Press
  15. W. X. Zhang, "Uncertain Decision Making based Rough sets" (2005), Tsing University Press

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