HESITANT FUZZY INFORMATION MEASURES DERIVED FROM T-NORMS AND S-NORMS

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.