计算机科学 ›› 2021, Vol. 48 ›› Issue (1): 152-156.doi: 10.11896/jsjkx.191100102
胡平, 秦克云
HU Ping, QIN Ke-yun
摘要: 毕达哥拉斯模糊集是Zadeh模糊集的一种推广形式,其相似度刻画方法是毕达哥拉斯模糊集理论的重要研究内容。现有的毕达哥拉斯模糊集相似度大多针对具体问题而提出。为推广毕达哥拉斯模糊集理论的应用范围,文中基于模糊等价研究毕达哥拉斯模糊集相似度的一般构造方法。将模糊等价概念推广至毕达哥拉斯模糊数,提出了PFN(Pythagorean Fuzzy Number)模糊等价的概念,并给出了PFN模糊等价的构造方法。进一步,通过聚合算子给出了基于PFN模糊等价的毕达哥拉斯模糊集相似度的一般构造方法。通过实例说明了现有的一些相似度是文中构造的相似度的特例。
中图分类号:
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