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Article type: Research Article
Authors: Singh, Surender; * | Lalotra, Sumita
Affiliations: School of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir, India
Correspondence: [*] Corresponding author. Surender Singh, School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, Jammu and Kashmir, India. E-mail: [email protected].
Abstract: Hesitant fuzzy soft set (HFSS) is considered as a powerful tool to capture uncertain information in group decision-making process. In this communication, we propose generalized correlation coefficient for hesitant fuzzy sets (HFS) and further extend for HFSS. Using generalized correlation coefficient of HFSS, we define generalized correlation efficiency which shows the significance of the HFSS. We also propose an algorithm to apply generalized correlation coefficient in group decision-making (GDM) problem, where information is presented in the hesitant fuzzy soft environment. Finally, with the help of an example, we show the effectiveness of the proposed algorithm which uses the concept of generalized correlation efficiency.
Keywords: HFS, HFSS, generalized correlation coefficient, generalized correlation efficiency, GDM
DOI: 10.3233/JIFS-18719
Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3821-3833, 2018
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