Abstract
The fuzzy clustering algorithm has become a research hotspot in many fields because of its better clustering effect and data expression ability. However, little research focuses on the clustering of hesitant fuzzy linguistic term sets (HFLTSs). To fill in the research gaps, we extend the data type of clustering to hesitant fuzzy linguistic information. A kind of hesitant fuzzy linguistic agglomerative hierarchical clustering algorithm is proposed. Furthermore, we propose a hesitant fuzzy linguistic Boole matrix clustering algorithm and compare the two clustering algorithms. The proposed clustering algorithms are applied in the field of judicial execution, which provides decision support for the executive judge to determine the focus of the investigation and the control. A clustering example verifies the clustering algorithm’s effectiveness in the context of hesitant fuzzy linguistic decision information.
Highlights
Clustering Algorithm and ItsClustering refers to dividing a collection of physical or abstract objects into different classes or clusters according to some specific standards, which makes the objects in the class similar to each other but different from the objects outside the class [1]
Step 2: According to theisbehavior characteristics of the concealment property by to extractedtoby the executive judge from theuse case database of court or theexecution person subjected execution, the executive judges linguistic expressions statements to conduct a multidimensional evaluation of m + n persons subjected to execution and give corresponding hesitant fuzzy linguistic decision information; Step 3: k(k = 1, 2, · · ·, n) samples to be identified are added to the known sample A j ( j = 1, 2, · · ·, m) of m subjects to perform fuzzy clustering on m + k subjects
The clustering results show the effectiveness of the concealed property behavior evaluation system and the clustering algorithm, especially when the number of cases was large, as scientific cluster analysis of the person subjected to execution could effectively help the executive judge objectively determine the focus of the investigation and control, which is conducive to improving the execution’s quality and efficiency
Summary
Clustering refers to dividing a collection of physical or abstract objects into different classes or clusters according to some specific standards, which makes the objects in the class similar to each other but different from the objects outside the class [1]. Uncertainty analysis methods such as intuitionistic fuzzy sets, soft multi-set topology and hesitant fuzzy linguistic term sets (HFLTSs) have been widely used in multi-attribute decision-making problems, such as optimal recommendation [18,19,20], risk assessment [21,22] and pattern recognition [23]. In practical decision-making, the hesitant fuzzy linguistic term sets (HFLTSs) have significant advantages in expressing experts’ qualitative judgment. The possibility of the hidden property of the persons subjected to execution is mostly presented in the form of linguistic expressions or sentences At this time, the HFLTSs can scientifically represent the executive judge’s qualitative decision information. An example of a cluster analysis of the person subjected to execution based on hesitant fuzzy linguistic decision information is given.
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