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New Distance Measures between the Interval-Valued Complex Fuzzy Sets with Applications to Decision-Making
Mathematical Problems in Engineering Pub Date : 2021-03-05 , DOI: 10.1155/2021/6685793
Haifeng Song 1 , Lvqing Bi 2 , Bo Hu 3 , Yingying Xu 1 , Songsong Dai 1
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As a generalization of complex fuzzy set (CFS), interval-valued complex fuzzy set (IVCFS) is a new research topic in the field of CFS theory, which can handle two different information features with the uncertainty. Distance is an important tool in the field of IVCFS theory. To enhance the applicability of IVCFS, this paper presents some new interval-valued complex fuzzy distances based on traditional Hamming and Euclidean distances of complex numbers. Furthermore, we elucidate the geometric properties of these distances. Finally, these distances are used to deal with decision-making problem in the IVCFS environment.

中文翻译:

区间值复杂模糊集之间的新距离度量及其在决策中的应用

作为复杂模糊集(CFS)的概括,区间值复杂模糊集(IVCFS)是CFS理论领域的一个新的研究课题,它可以处理两个具有不确定性的信息特征。距离是IVCFS理论领域中的重要工具。为了提高IVCFS的适用性,本文提出了一些基于传统复数汉明距离和欧几里德距离的新的区间值复模糊距离。此外,我们阐明了这些距离的几何特性。最后,这些距离用于处理IVCFS环境中的决策问题。
更新日期:2021-03-05
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