Intuitionistic fuzzy MST clustering algorithms |
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Authors: | Hua Zhao Zeshui Xu Shousheng Liu Zhong Wang |
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Affiliation: | 1. Institute of Communications Engineering, PLA University of Science and Technology, Nanjing 210007, China;2. Institute of Sciences, PLA University of Science and Technology, Nanjing 210007, China |
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Abstract: | In this paper, we investigate graph theory-based clustering techniques for Atanassov’s intuitionistic fuzzy sets (A-IFSs) and interval-valued intuitionistic fuzzy sets (IVIFSs). We start by introducing the concepts of graph, minimum spanning tree (MST), A-IFS, and intuitionistic fuzzy distance, and develop two intuitionistic fuzzy MST clustering algorithms ( and ). Then we extend Algorithm II for clustering IVIFSs, and show the effectiveness of our algorithms through some numerical experiments. |
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Keywords: | Intuitionistic fuzzy set Minimum spanning tree Interval-valued intuitionistic fuzzy set Graph theory-based clustering algorithm Intuitionistic fuzzy distance |
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