袁伟斌, 王惠文. 改进的区间值对偶犹豫模糊集距离测度及其应用[J]. 内江师范学院学报, 2023, 38(12): 55-60. DOI:10.13603/j.cnki.51-1621/z.2023.12.010
引用本文: 袁伟斌, 王惠文. 改进的区间值对偶犹豫模糊集距离测度及其应用[J]. 内江师范学院学报, 2023, 38(12): 55-60.DOI:10.13603/j.cnki.51-1621/z.2023.12.010
YUAN Weibin, WANG Huiwen. Improved interval valued dual hesitant fuzzy set distance measure and its application[J]. Journal of Neijiang Normal University, 2023, 38(12): 55-60. DOI:10.13603/j.cnki.51-1621/z.2023.12.010
Citation: YUAN Weibin, WANG Huiwen. Improved interval valued dual hesitant fuzzy set distance measure and its application[J].Journal of Neijiang Normal University, 2023, 38(12): 55-60.DOI:10.13603/j.cnki.51-1621/z.2023.12.010

改进的区间值对偶犹豫模糊集距离测度及其应用

Improved interval valued dual hesitant fuzzy set distance measure and its application

  • 摘要:针对现有区间值对偶犹豫模糊集距离测度的局限性,提出了其距离测度的公理化定义,定义了区间值对偶犹豫度,给出了基于犹豫度偏差以及隶属度与非隶属度完全偏差的区间值对偶犹豫模糊集距离测度公式.改进的距离测度从三个信息维度来衡量,更全面客观地体现出数据信息,弥补了传统距离测度需要主观扩充数据的不足.最后结合一个数值算例,验证了改进距离测度的有效性和合理性.

    Abstract:In view of the limitations of distance measure of interval valued dual hesitant fuzzy sets, the axiomatic definition of distance measure of interval valued dual hesitant fuzzy sets is given, and the formula of distance measure of interval valued dual hesitant fuzzy sets based on the deviation of hesitancy degree and the complete deviation of membership degree and non-membership degree is given. The improved distance measure is measured from three information dimensions, more comprehensively and objectively reflects the data information, and makes up for the shortcomings of the traditional distance measure which needs to subjectively expand the data. Finally, a numerical example is given to verify the effectiveness and rationality of the improved distance measure.

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