Abstract
This paper investigates the deficiency of the accuracy function for interval-valued intuitionistic fuzzy sets (IVIFSs), which was initially proposed by Sahin (Soft Comput 10.1007/s00500-015-1657-x, 2015). And then, two parameters are introduced to characterize the internal mechanism of the accuracy function for the IVIFSs, where the first parameter is the contrast degree between the membership degree and the non-membership degree of the element to the related IVIFS, and the second parameter is the hesitancy degree of the element to the related IVIFS. Using these two parameters, one new accuracy function and one new fuzzy multi-criteria decision-making method in interval-valued intuitionistic fuzzy setting are proposed. Finally, an example is given to demonstrate the effectiveness of the proposed fuzzy multi-criteria decision-making method.
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Acknowledgments
The work of the first author is partially supported in part by NNSF of China (51508319, 61374195, 51409157), the research program of the National Special Authorized Social Science Fund of China (07@ZH005), the Nature and Science Fund from Zhejiang Province Ministry of Education (Y201327642). The second author is partially supported by NNSF of China (11301474, 11171295), Foundation for Distinguished Young Teachers in Higher Education of Guangdong, China (Yq2013163). We would like to thank the editor and the referee for their very helpful suggestions on modification of the original manuscript.
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Communicated by V. Loia.
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Zhang, F., Xu, S. Remarks to “Fuzzy multicriteria decision making method based on the improved accuracy function for interval-valued intuitionistic fuzzy sets”. Soft Comput 21, 2263–2268 (2017). https://doi.org/10.1007/s00500-015-1932-x
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DOI: https://doi.org/10.1007/s00500-015-1932-x