Document Type: Research Paper


1 Department of Mathematics, Quchan University of Technology, Iran

2 Business School, Sichuan University, Chengdu 610064, P.R. China


In this contribution, we first introduce the concept of metrical T-norm-based similarity measure for hesitant fuzzy sets (HFSs) {by using the concept of T-norm-based distance measure}. Then,
the relationship of the proposed {metrical T-norm-based} similarity {measures} with the {other kind of information measure, called the metrical T-norm-based} entropy measure {is} discussed. The main feature of the proposed { metrical T-norm-based similarity measures} is a possibility of comparing {similarity between HFSs} without regarding what {value is returned by} the similarity measure.
{To illustrate the application of the proposed metrical T-norm-based similarity measures, we consider two problems of} medical diagnosis {and pattern recognition} to compare the proposed {metrical T-norm-based similarity measures} with a number of {the} existing HFS similarity measures.


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