Uncertainty Measures of Extended Hesitant Fuzzy Linguistic Term Sets

Uncertainty Measures of Extended Hesitant Fuzzy Linguistic Term Sets
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扩展犹豫模糊语言术语集的不确定性测度

DOI:
10.1109/tfuzz.2017.2724023
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发表时间:
2018-06
影响因子:
11.9
通讯作者:
Luis Martiınez
Luis Martiınez
中科院分区:
计算机科学1区
文献类型:
--
作者:
Cuiping Wei;Rosa M. Rodriguez;Luis Martiınez

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将犹豫模糊语言项集(HFLTS)定义为有序连续语言项的子集,并成功地应用于解决专家在决策问题中需要提供评价时的犹豫问题。这个概念最近被扩展到管理有序连续和非连续的语言术语,称为扩展HFLTS (EHFLTS),用于语言群体决策问题中,在不丢失信息的情况下表示群体意见。本文主要研究了如何测量EHFLTS和HFLTS的信息所呈现的不确定度。为此,提出了一种新的综合熵测度方法,该方法考虑了两种不确定性:模糊性和犹豫性。研究了两类熵的构造方法,并定义了综合熵公式。最后,对所提出的熵测度结果进行了对比分析。
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 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 an HFLTS. To do so, a new comprehensive entropy measure for EHFLTSs, which 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 analyze the results obtained from the proposed entropy measures.
DOI: 10.1002/int.21714
发表时间: 2015-07
影响因子: 7
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