کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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469640 | 698338 | 2009 | 12 صفحه PDF | دانلود رایگان |
In this paper we define similarity and inclusion measures between type-2 fuzzy sets. We then discuss their properties and also consider the relationships between them. Several examples are used to present the calculation of these similarity and inclusion measures between type-2 fuzzy sets. We finally combine the proposed similarity measures with Yang and Shih’s [M.S. Yang, H.M. Shih, Cluster analysis based on fuzzy relations, Fuzzy Sets and Systems 120 (2001) 197–212] algorithm as a clustering method for type-2 fuzzy data. These clustering results are compared with Hung and Yang’s [W.L. Hung, M.S. Yang, Similarity measures between type-2 fuzzy sets, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12 (2004) 827–841] results. According to different αα-level, these clustering results consist of a better hierarchical tree.
Journal: Computers & Mathematics with Applications - Volume 57, Issue 6, March 2009, Pages 896–907