一种新的直觉模糊距离测度(英文)
发布时间:2018-08-30 11:29
【摘要】:距离测度是集合理论中的一个重要基础概念。自直觉模糊集提出以来,直觉模糊距离受到了广泛的关注,近年来已有多种形式的距离测度被提出。大多数现存直觉模糊距离存在反例,且没有考虑直觉模糊集三个参数的性质。引入了模糊距离的概念,综合体现了经典距离和犹豫指数的特点。提出了一种新的直觉模糊距离测度,并给出了相应的证明。基于单元素直觉模糊集,构建了一个人工基准的测试集来比较本文提出的距离测度和广泛使用的距离测度。结果表明,提出的距离测度没有任何反例,并且能够很好地反映出犹豫度的波动性。
[Abstract]:Distance measure is an important basic concept in set theory. Since intuitionistic fuzzy sets were put forward, intuitionistic fuzzy distance has been paid more and more attention. In recent years, many kinds of distance measures have been proposed. Most of the existing intuitionistic fuzzy distances have counterexample and do not consider the properties of three parameters of intuitionistic fuzzy sets. The concept of fuzzy distance is introduced, which embodies the characteristics of classical distance and hesitation index. A new intuitionistic fuzzy distance measure is proposed and the corresponding proof is given. Based on the intuitionistic fuzzy set of single element, a test set of artificial benchmark is constructed to compare the distance measure proposed in this paper with the widely used distance measure. The results show that the proposed distance measure has no counterexample and can well reflect the volatility of hesitancy.
【作者单位】: 空军工程大学防空反导学院;
【基金】:National Natural Science Foundation of China(61273275)
【分类号】:O159
,
本文编号:2212930
[Abstract]:Distance measure is an important basic concept in set theory. Since intuitionistic fuzzy sets were put forward, intuitionistic fuzzy distance has been paid more and more attention. In recent years, many kinds of distance measures have been proposed. Most of the existing intuitionistic fuzzy distances have counterexample and do not consider the properties of three parameters of intuitionistic fuzzy sets. The concept of fuzzy distance is introduced, which embodies the characteristics of classical distance and hesitation index. A new intuitionistic fuzzy distance measure is proposed and the corresponding proof is given. Based on the intuitionistic fuzzy set of single element, a test set of artificial benchmark is constructed to compare the distance measure proposed in this paper with the widely used distance measure. The results show that the proposed distance measure has no counterexample and can well reflect the volatility of hesitancy.
【作者单位】: 空军工程大学防空反导学院;
【基金】:National Natural Science Foundation of China(61273275)
【分类号】:O159
,
本文编号:2212930
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