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|Uncertainty Measures of Extended Hesitant Fuzzy Linguistic Term Sets
Rodriguez, Rosa M.
|A hesitant fuzzy linguistic term set (HFLTS) is defined as a subset of ordered consecutive linguistic terms, and it has been successfully applied to deal with experts hesitation in decision-making problems when experts have to provide their assessments. This concept has been recently extended to manage ordered consecutive and nonconsecutive linguistic terms, called extendedHFLTS (EHFLTS), which is used in linguistic group decision-making problems to represent the group opinion without loss of information. This paper is focused on studying how to measure the uncertainty presented by the information of an EHFLTS and also of an HFLTS. To do so, a new comprehensive entropy measure for EHFLTSs, which considers two types of uncertainty, fuzziness and hesitation, is proposed. The constructionmethods of the two types of entropy are studied and a comprehensive entropy formula is defined. Finally, a comparative study is carried out to analyze the results obtained from the proposed entropy measures.
extended hesitant fuzzy linguistic term set
|National Natural Science Foundation of China under Grant 71371107, Spanish National Research Project TIN2015-66524-P, Spanish Ministry of Economy and Finance Postdoctoral fellow (IJCI-2015-23715) and Education Research and Development Foundation.
|C. Wei, R.M. Rodríguez and L. Martínez, Uncertainty Measures of Extended Hesitant Fuzzy Linguistic Term Sets, IEEE Transactions on Fuzzy Systems, vol. 26, no. 3, pp. 1763-1768, June 2018, doi: 10.1109/TFUZZ.2017.2724023.
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