SOME SIMILARITY MEASURES FOR PICTURE FUZZY SETS AND THEIR APPLICATIONS

	SOME SIMILARITY MEASURES FOR PICTURE FUZZY SETS AND THEIR APPLICATIONS
Iranian Journal of Fuzzy Systems
مقالات آماده انتشار، پذیرفته شده ، انتشار آنلاین از تاریخ 04 تیر 1396
نوع مقاله: Research Paper
نویسنده
Gui-wu Wei^*
School of Business, Sichuan Normal University, Chengdu, 610101, P.R. China
چکیده
In this work, we shall present some novel process to measure the similarity between picture fuzzy sets. Firstly, we adopt the concept of intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets and picture fuzzy sets. Secondly, we develop some similarity measures between picture fuzzy sets, such as, cosine similarity measure, weighted cosine similarity measure, set-theoretic similarity measure, weighted set-theoretic cosine similarity measure, grey similarity measure and weighted grey similarity measure. Then, we apply these similarity measures between picture fuzzy sets to building material recognition and minerals field recognition. Finally, two illustrative examples are given to demonstrate the efficiency of the similarity measures for building material recognition and minerals field recognition.
کلیدواژه ها
Picture fuzzy set؛ Cosine similarity measure؛ Set-theoretic similarity measure؛ Grey similarity measure؛ Building material recognition؛ Minerals field recognition
آمار تعداد مشاهده مقاله: 103