Uncertainty Measures of Extended Hesitant Fuzzy Linguistic Term Sets

TitleUncertainty Measures of Extended Hesitant Fuzzy Linguistic Term Sets
Publication TypeInternational Journal
Year of PublicationIn progress
AuthorsC. Wei, R. M. Rodríguez and L. Martínez
JournalIEEE Transactions on Fuzzy Systems
ISSN Number1063-6706
Keywordsentropy, extended hesitant fuzzy linguistic term set, fuzziness, hesitation

A hesitant fuzzy linguistic term set (HFLTS) is defined as a subset of ordered consecutive linguistic terms, and 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 non-consecutive linguistic terms, called Extended HFLTS (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 a HFLTS. To do so, a new comprehensive entropy measure for EHFLTSs that considers two types of uncertainty, fuzziness and hesitation, is proposed. The construction methods of the two types of entropy are studied and a comprehensive entropy formula is defined. Finally, a comparative study is carried out to analyse the results obtained with the proposed entropy measures.

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