Multiple-attribute decision-making method based on the correlation coefficient between dual hesitant fuzzy linguistic term sets
Multiple-attribute decision-making method based on the correlation coefficient between dual hesitant fuzzy linguistic term sets
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DOI：
10.1016/j.knosys.2018.07.014
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发表时间：
2018-11
期刊：
影响因子：
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通讯作者：
Ruichen Zhang;Zongmin Li;Huchang Liao
中科院分区：
文献类型：
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作者：
Ruichen Zhang;Zongmin Li;Huchang Liao
犹豫模糊语言项集（HFLTS）和对偶犹豫模糊集（DHFS）是模糊数学的两个重要分支，在不确定环境下的多属性决策（MADM）问题中有着广泛的应用。为了使决策过程人性化，前者处理了符合人们常识的犹豫模糊语言术语，而后者则处理了模糊集（FS）的隶属和非隶属犹豫函数，以反映人们犹豫的本质。然而，随着决策环境的日益复杂，这两个集合的特点需要结合起来，以更精确地表示模糊语言信息。因此，本文提出了HFLTS概念的新扩展，即，双犹豫模糊语言术语集（DHFLTS），突出了HFLTS的非隶属度的重要性。给出了DHFLTS的一些性质。从信息能量的角度出发，定义了DHFLTS的信息能量、DHFLTS间的相关系数和加权相关系数。最后通过一个供应商选择问题的实例验证了该方法的可行性和优越性。
Hesitant fuzzy linguistic term sets (HFLTS) and dual hesitant fuzzy sets (DHFS) are two important branches of fuzzy mathematics, both of which have been widely applied in multiple-attribute decision-making (MADM) problems under uncertain environments. To humanize the decision-making process, the former deals with hesitant fuzzy linguistic terms in line with people’s common sense, and to reflect the nature of people’s hesitancy, the latter deals with both the membership and nonmembership hesitancy functions of fuzzy sets (FS). However, as the decision-making environment is increasingly complex, the characteristics of these two sets need to be combined to more precisely represent the fuzzy linguistic information. Therefore, this paper proposes a new extension of the HFLTS concept, i.e., dual hesitant fuzzy linguistic term set (DHFLTS), to highlight the importance of the nonmembership degree for HFLTSs. Some properties for the DHFLTS are given. Motivated by information energy, the information energy for DHFLTS and the correlation coefficient between DHFLTSs as well as the weighted correlation coefficient are defined. Finally, a supplier selection problem is given to demonstrate the feasibility and superiority of this method.