4.5 Article

The New Similarity Measure and Distance Measure of a Hesitant Fuzzy Linguistic Term Set Based on a Linguistic Scale Function

期刊

SYMMETRY-BASEL
卷 10, 期 9, 页码 -

出版社

MDPI
DOI: 10.3390/sym10090367

关键词

hesitant fuzzy linguistic term set; similarity measure; linguistic scale function; distance measure; TOPSIS method

资金

  1. Natural Science Foundation of Hunan [2017JJ2096, 2018JJ3137]
  2. National Natural Science Foundation of China [11501191]
  3. National Social Science Foundation of China [15BTJ028]
  4. outstanding youth project of the Hunan Education Department [1713092]
  5. Major projects of the National Social Science Foundation of China [17ZDA046]

向作者/读者索取更多资源

The existing cosine similarity measure for hesitant fuzzy linguistic term sets (HFLTSs) has an impediment as it does not satisfy the axiom of similarity measure. Due to this disadvantage, a new similarity measure combining the existing cosine similarity measure and the Euclidean distance measure of HFLTSs is proposed, which is constructed based on a linguistic scale function; the related properties are also given. According to the relationship between the distance measure and the similarity measure, a corresponding distance measure between HFLTSs is obtained. Furthermore, we generalize the technique for order preference by similarity to an ideal solution (TOPSIS) method to the obtained distance measure of the HFLTSs. The principal advantages of the proposed method are that it cannot only effectively transform linguistic information in different semantic environments, but it can also avoid the shortcomings of existing the cosine similarity measure. Finally, a case study is conducted to illustrate the feasibility and effectiveness of the proposed method, which is compared to the existing methods.

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