Dynamic Similarity Measures between Intuitionistic Fuzzy Sets and Its Application

Although many measures of similarity between intuitionistic fuzzy set (IFS) have been proposed in the literature, some existing similarity measures are not always effective in some cases. A main reason is that existing similarity measures have not or little considered degree of hesitancy in intuitionistic fuzzy set. In this paper, based on this foundation that the degree of hesitancy in intuitionistic fuzzy set and decision maker's attitude to indetermination information are taken into account, a dynamic similarity measure is proposed for measuring the degree of similarity between IFSs. To demonstrate the efficiency of the proposed dynamic similarity measures, the existing similarity measures between IFSs are compared with the dynamic similarity measure between IFSs by numerical examples. It is shown that the proposed similarity measures can deal with counter-intuitive cases more effectively and reasonably than some existing methods. Finally, dynamic similarity measure is applied to pattern recognition.

並列關鍵字

Intuitionistic fuzzy set ； similarity measure ； intuitionistic fuzzy point operator ； patter recognition

被引用紀錄

Zhou, J. H. (2017). 運用高低通濾波器結合技術在單張圖像上去除雨紋 [master's thesis, Chung Yuan Christian University]. Airiti Library. https://doi.org/10.6840/cycu201700433

周孟勳（2017）。基於視覺之自我定位應用於空拍機自拍〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU201702800

蘇芳生（2015）。運用都卜勒雷達測量物體一維運動之位移、速度及加速度〔碩士論文，國立中正大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0033-2110201614040179

陳韋翰（2016）。應用於多重動態物體判讀之都卜勒雷達設計〔碩士論文，國立中正大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0033-2110201614072617

延伸閱讀

Hwang, C. M., & Yang, M. S. (2013). New Construction for Similarity Measures between Intuitionistic Fuzzy Sets Based on Lower, Upper and Middle Fuzzy Sets. International Journal of Fuzzy Systems, 15(3), 371-378. https://www.airitilibrary.com/Article/Detail?DocID=15622479-201309-201310250003-201310250003-371-378
Song, Y., Wang, X., Lei, L., & Xue, A. (2014). A New Similarity Measure between Intuitionistic Fuzzy Sets and Its Application to Pattern Recognition. Abstract and Applied Analysis, 2014(), 349-359-542. https://doi.org/10.1155/2014/384241
Zhang, L., Xu, X., & Chen, X. (2012). A New Similarity Measure for Intuitionistic Fuzzy Sets and Its Applications. International Journal of Information and Management Sciences, (), 229-239. https://doi.org/10.6186/IJIMS.2012.23.2.7
Hu, K., & Li, J. Q. (2013). The Entropy and Similarity Measure of Interval Valued Intuitionistic Fuzzy Sets and Their Relationship. International Journal of Fuzzy Systems, 15(3), 279-288. https://www.airitilibrary.com/Article/Detail?DocID=15622479-201309-201310250003-201310250003-279-288
Guha, D., & Chakraborty, D. (2010). A Theoretical Development of Distance Measure for Intuitionistic Fuzzy Numbers. International Journal of Mathematics and Mathematical Sciences, 2010(), 1466-1490. https://doi.org/10.1155/2010/949143

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