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The application of fuzzy equivalence relation based on the quotient space in cluster analysis
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作者 SHEN Qin-wei ZHANG Yuan 《International Journal of Technology Management》 2014年第8期58-61,共4页
A fuzzy clustering analysis model based on the quotient space is proposed. Firstly, the conversion from coarse to fine granularity and the hierarchical structure are used to reduce the multidimensional samples. Second... A fuzzy clustering analysis model based on the quotient space is proposed. Firstly, the conversion from coarse to fine granularity and the hierarchical structure are used to reduce the multidimensional samples. Secondly, the fuzzy compatibility relation matrix of the model is converted into fuzzy equivalence relation matrix. Finally, the diagram of clustering genealogy is generated according to the fuzzy equivalence relation matrix, which enables the dynamic selection of different thresholds to effectively solve the problem of cluster analysis of the samples with multi-dimensional attributes. 展开更多
关键词 quotient space hierarchical structure fuzzy compatibility relation fuzzy equivalence relation matrix cluster analysis
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Fixed Point Theorems in Intuitionistics Fuzzy Metric Spaces Using Implicit Relations
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作者 Arun Garg Zaheer K. Ansari Pawan Kumar 《Applied Mathematics》 2016年第6期569-577,共9页
In this paper, we proved some fixed point theorems in intuitionistic fuzzy metric spaces applying the properties of weakly compatible mapping and satisfying the concept of implicit relations for t norms and t connorms.
关键词 Intuitionistic Fuzzy Metric Spaces Weakly compatible Mapping Implicit relations for t Norms and t Connorms
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