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Intuitionistic fuzzy MST clustering algorithms
Authors:Hua Zhao  Zeshui Xu  Shousheng Liu  Zhong Wang
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
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.
Keywords:Intuitionistic fuzzy set  Minimum spanning tree  Interval-valued intuitionistic fuzzy set  Graph theory-based clustering algorithm  Intuitionistic fuzzy distance
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