Dual hesitant fuzzy VIKOR method for multi-criteria group decision making based on fuzzy measure and new comparison method

Ren, Zhiliang; Zhang, Xu; Hai, Wang

doi:10.1016/j.ins.2017.01.024

Cited by 138 publications

(65 citation statements)

References 41 publications

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“…Namely, linguistic preference relation is a popular topic in decision making, the DMs could express the preference by the linguistic expressions under the IVHPFSs environment. The measurement of the distance should be investigated based on the more accurate score function and accuracy function. Namely, Ren et al proposed the novel score function, and the new score function could roundly demonstrate the cognition of DMs under the IVHPFSs background. The complexity of the calculation may be a momentous issue, then the MCDM methods need to be proposed based on granular computing techniques.…”

Section: Resultsmentioning

confidence: 99%

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The interval‐valued hesitant Pythagorean fuzzy set and its applications with extended TOPSIS and Choquet integral‐based method

Wang

Zhang

2019

Int J Intell Syst

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The hesitant Pythagorean fuzzy set is frequently considered as a solution for decision making under uncertainty. Whereas the representation of uncertain information might be not sufficient in the hesitant Pythagorean fuzzy environment, thus the concept of interval‐valued hesitant Pythagorean fuzzy sets (IVHPFSs) is proposed. Specifically, we first propose the concept of IVHPFSs and then study the operational rules and distance measures of IVHPFSs in detail. To ease the possible application, we explore two decision‐making processes in the setting of IVHPFSs by drawing support from the technique for order preference by similarity to ideal solution and Choquet integral‐based method. Finally, the selecting processes of project private partner are also presented to demonstrate the decision‐making processes based on IVHPFSs and compared with some similar techniques.

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Section: Resultsmentioning

confidence: 99%

“…The measurement of the distance should be investigated based on the more accurate score function and accuracy function. Namely, Ren et al proposed the novel score function, and the new score function could roundly demonstrate the cognition of DMs under the IVHPFSs background.…”

Section: Resultsmentioning

confidence: 99%

The interval‐valued hesitant Pythagorean fuzzy set and its applications with extended TOPSIS and Choquet integral‐based method

Wang

Zhang

2019

Int J Intell Syst

Self Cite

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“…If the set of criteria is denoted as

X = {x_{1}, x_{2}, …, x_{n}}

, then the fuzzy measure

μ (x_{i})

will present the importance degree of the criterion

x_{i}

(

i = 1, 2, …, n

) μ(C) can define the weight of the combination of criteria

\forall C \in scriptP (X)

.…”

Section: Preliminariesmentioning

confidence: 99%

“…In multiple criteria decision making, the criterion that provides more information is considered to be more important . While the fuzzy measure on one criterion holds the meaning of the criterion's importance degree . Thus, according to the results of Liang et al, by integrating entropy and cross‐entropy measures, we have the following definition.…”

Section: The Determination Of the Fuzzy Measures With The Q‐rung Orthmentioning

confidence: 99%

q ‐Rung orthopair fuzzy Choquet integral aggregation and its application in heterogeneous multicriteria two‐sided matching decision making

2019

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In the real decision making, q‐rung orthopair fuzzy sets ( q‐ROFSs) as a novel effective tool can depict and handle uncertain information in a broader perspective. Considering the interrelationships among the criteria, this paper extends Choquet integral to the q‐rung orthopair fuzzy environment and further investigates its application in multicriteria two‐sided matching decision making. To determine the fuzzy measures used in Choquet integral, we first define a pair of q‐rung orthopair fuzzy entropy and cross‐entropy. Then, by utilizing λ‐fuzzy measure theory, we propose an entropy‐based method to calculate the fuzzy measures upon criteria. Furthermore, we discuss q‐rung orthopair fuzzy Choquet integral operator and its properties. Thus, with the aid of q‐rung orthopair fuzzy Choquet integral, we consider the preference heterogeneity of the matching subjects and further explore the corresponding generalized model and approach for the two‐sided matching. Finally, a simulated example of loan market matching is given to illustrate the validity and applicability of our proposed approach.

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“…Liao and Xu () introduced novel entropy measures for HFSs. In addition, various scholars developed many information measurements based on HFSs extensions, such as distance measurements for hesitant fuzzy linguistic numbers (Wang et al, 2016a) and dual HFSs (Ren et al, 2017), similarity measurements for IVHFSs (Jin et al, 2016) and HFLTSs (Liao and Xu, ); entropy and cross‐entropy measurements for HFLTSs (Gou et al, ), and generalized HFSs (Park et al, 2017). On the other hand, a few approaches for the transformation of HFSs information measurements were established.…”

Section: Introductionmentioning

confidence: 99%

Similarity and entropy measures for hesitant fuzzy sets

Yan

Zhang

et al. 2017

Int Trans Operational Res

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Hesitant fuzzy sets (HFSs) are beneficial tools for expressing the hesitancy of decision makers (DMs) to access alternatives in daily life, thereby enabling the membership of an element to a set that is represented by several possible values. This study proposes an interval bound footprint (IBF), which describes the fluctuation range of the values of hesitant fuzzy elements (HFEs) arranged in order. In addition, a few similarity and entropy measures for HFSs are deduced. First, the interval bound footprint, upper bound footprint, and lower bound footprint for HFEs are defined and their corresponding properties are discussed. Subsequently, several similarity and entropy measures for HFSs are presented based on IBF. Lastly, a hesitant fuzzy multi‐criteria decision‐making method based on the proposed similarity and entropy measures is introduced. We use a numerical example to discuss the differences among the proposed similarity measures and the applicable environment based on the risk preferences of the different DMs.

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Dual hesitant fuzzy VIKOR method for multi-criteria group decision making based on fuzzy measure and new comparison method

Cited by 138 publications

References 41 publications

The interval‐valued hesitant Pythagorean fuzzy set and its applications with extended TOPSIS and Choquet integral‐based method

The interval‐valued hesitant Pythagorean fuzzy set and its applications with extended TOPSIS and Choquet integral‐based method

q ‐Rung orthopair fuzzy Choquet integral aggregation and its application in heterogeneous multicriteria two‐sided matching decision making

Similarity and entropy measures for hesitant fuzzy sets

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