【摘要】：距離測(cè)度是集合理論中的一個(gè)重要基礎(chǔ)概念。自直覺模糊集提出以來,直覺模糊距離受到了廣泛的關(guān)注,近年來已有多種形式的距離測(cè)度被提出。大多數(shù)現(xiàn)存直覺模糊距離存在反例,且沒有考慮直覺模糊集三個(gè)參數(shù)的性質(zhì)。引入了模糊距離的概念,綜合體現(xiàn)了經(jīng)典距離和猶豫指數(shù)的特點(diǎn)。提出了一種新的直覺模糊距離測(cè)度,并給出了相應(yīng)的證明。基于單元素直覺模糊集,構(gòu)建了一個(gè)人工基準(zhǔn)的測(cè)試集來比較本文提出的距離測(cè)度和廣泛使用的距離測(cè)度。結(jié)果表明,提出的距離測(cè)度沒有任何反例,并且能夠很好地反映出猶豫度的波動(dòng)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.
【作者單位】： 空軍工程大學(xué)防空反導(dǎo)學(xué)院;
【基金】：National Natural Science Foundation of China(61273275)
【分類號(hào)】：O159
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本文編號(hào)：2212930