Distance and entropy measures for dual hesitant fuzzy sets

Zhang, Huimin

doi:10.1007/s40314-020-1111-2

Cited by 17 publications

(4 citation statements)

References 40 publications

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“…Yahya et al (2021) proposed the frank aggregation operator-based EDAS approach for IF rough set, and applied it to evaluation of the small hydropower plant. H. M. Zhang (2020) proposed an extended EDAS Method for multivalued neutrosophic sets, the MADM method was applied to choose appropriate investment project for an investment company. Jiang et al (2022a) built the EDAS approach with CPT for settling picture fuzzy MAGDM issue.…”

Section: Introductionmentioning

confidence: 99%

“…Various kinds of fuzzy entropy have been put forward one after another, intuitionistic fuzzy entropy measures (Rahimi et al, 2021), Pythagorean fuzzy entropy measures (Thao & Smarandache, 2019;T. T. Xu et al, 2020), hesitant fuzzy entropy measure (Anees et al, 2020), dual hesitant fuzzy entropy measure (H. M. Zhang, 2020) in the corresponding fuzzy environment, DHF entropy measure (Hao et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

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Edas Method for Multiple Attribute Group Decision Making With Probabilistic Dual Hesitant Fuzzy Information and Its Application to Suppliers Selection

Ning

Lin

Wei

et al. 2023

Technological and Economic Development of Economy

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Probabilistic dual hesitant fuzzy set (PDHFS) is a more powerful and important tool to describe uncertain information regarded as generalization of hesitant fuzzy set (HFS) and dual HFS (DHFS), not only reflects the hesitant attitude of decision-makers (DMs), but also reflects the probability information of DMs. Score function of fuzzy number and weighting method are very important in multi-attribute group decision-making (MAGDM) issues. In many fuzzy environments, the score function and entropy measure have been proposed one after another. Firstly, based on the detailed analysis of the existed score function of PDHF element (PDHFE) and with the help of previous references, we build a novel score function for PDHFE. Secondly, a combined weighting method is built based on the minimum identification information principle by fusing PDHF entropy and Criteria Importance Through Intercriteria Correlation (CRITIC) method. Thirdly, a novel PDHF MAGDM approach (PDHF-EDAS) is built by extending evaluation based on distance from average solution (EDAS) approach to the PDHF environment to solve the issue that the decision attribute information is PDHFE. Finally, the practicability and effectiveness of the PDHF MAGDM technique is verified by suppliers selection (SS) and comparing analysis with existing methods.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Edas Method for Multiple Attribute Group Decision Making With Probabilistic Dual Hesitant Fuzzy Information and Its Application to Suppliers Selection

Ning

Lin

Wei

et al. 2023

Technological and Economic Development of Economy

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“…Liu et al 58 illustrated some distance measures for DHFS based on connection numbers and discussed several identities and relationships between them. Zhang et al 59 investigated some improved distance measures for HFSs and DHFSs to avoid the issue of extension process in the previous distance measures. They also provide various entropy measures for DHFSs, which describe the fuzziness of DHFSs.…”

Section: Introductionmentioning

confidence: 99%

Distance and similarity measures for normal wiggly dual hesitant fuzzy sets and their application in medical diagnosis

Ali

Naeem

2022

Sci Rep

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The normal wiggly dual hesitant fuzzy set (NWDHFS) is a modern mathematical tool that can be used to express the deep ideas of membership and non-membership information hidden in the thought-level of decision-makers (DMs). To enhance and expand the applicability of NWDHFSs, this study originates several types of distance and similarity measures between two NWDHFSs. The present paper first revises the basic operational laws of normal wiggly dual hesitant fuzzy elements (NWDHFEs) and then generalizes the rule of length extension for normal wiggly dual hesitant fuzzy setting. Meanwhile, we introduce a variety of distance and similarity measures under the background of NWDHFSs. After that, a family of weighted distance and similarity measures based on NWDHFS is presented and analyzed for discrete and continuous cases. The stated measures are the extension of several existing measures and have the capability to handle uncertain and vague information with a wider range of information. DMs can select the most suitable alternative based on these measures by determining the gap between each alternative and the ideal one. Finally, a practical example concerning disease detection is addressed to demonstrate the applicability and merits of the developed theory and depict the differences between the presented distance and similarity measures.

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“…Wang et al [16] proposed a new dual hesitation fuzzy distance metric for the multiattribute decision-making problem with completely unknown attribute weights. Zhang [17] proposed several distance measurements and entropy measurement methods for dual hesitation fuzzy sets, which avoided the process of data expansion and overcame the problem of information loss to a certain extent. Combining the DHFS, Wei et al [18] proposed some dual hesitant Pythagorean fuzzy Hamy mean aggregation operators, which are more valid for dealing with the MADM problem.…”

Section: Introductionmentioning

confidence: 99%

Ancient Chinese Character Image Retrieval Based on Dual Hesitant Fuzzy Sets

Yang

Tian

2021

Scientific Programming

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The complex and changeable structures of ancient Chinese characters result in the decreasing accuracy of their image retrieval. To resolve this problem, a new retrieval method based on dual hesitant fuzzy sets is proposed. Dual hesitation fuzzy sets that can express uncertain information more comprehensively are employed in the feature extraction process of directional line elements. The multiattribute evaluation index of adjacent grids for the current grid and its corresponding membership and nonmembership functions are established, and the weight of each attribute is calculated by the dual hesitation fuzzy entropy, such that the proposed features can fully reflect the topological structure of ancient Chinese characters. Using the dual hesitation fuzzy correlation coefficient to measure the similarity between the ancient Chinese character images to be retrieved and the candidate images, the retrieval of ancient Chinese character images is realized. Experiments show that when the t0hreshold value of the correlation coefficient is 0.9, the average retrieval accuracy is 90.4%.

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Distance and entropy measures for dual hesitant fuzzy sets

Cited by 17 publications

References 40 publications

Edas Method for Multiple Attribute Group Decision Making With Probabilistic Dual Hesitant Fuzzy Information and Its Application to Suppliers Selection

Edas Method for Multiple Attribute Group Decision Making With Probabilistic Dual Hesitant Fuzzy Information and Its Application to Suppliers Selection

Distance and similarity measures for normal wiggly dual hesitant fuzzy sets and their application in medical diagnosis

Ancient Chinese Character Image Retrieval Based on Dual Hesitant Fuzzy Sets

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