Approaches to Multiple Attribute Decision Making with Interval-Valued 2-Tuple Linguistic Pythagorean Fuzzy Information

Jie Wang, Guiwu Wei and Hui Gao
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Jie Wang: School of Business, Sichuan Normal University, Chengdu 610101, China
Guiwu Wei: School of Business, Sichuan Normal University, Chengdu 610101, China
Hui Gao: School of Business, Sichuan Normal University, Chengdu 610101, China

Mathematics, 2018, vol. 6, issue 10, 1-45

Abstract: The Maclaurin symmetric mean (MSM) operator is a classical mean type aggregation operator used in modern information fusion theory, which is suitable to aggregate numerical values. The prominent characteristic of the MSM operator is that it can capture the interrelationship among multi-input arguments. Motivated by the ideal characteristic of the MSM operator, in this paper, we expand the MSM operator, generalized MSM (GMSM), and dual MSM (DMSM) operator with interval-valued 2-tuple linguistic Pythagorean fuzzy numbers (IV2TLPFNs) to propose the interval-valued 2-tuple linguistic Pythagorean fuzzy MSM (IV2TLPFMSM) operator, interval-valued 2-tuple linguistic Pythagorean fuzzy weighted MSM (IV2TLPFWMSM) operator, interval-valued 2-tuple linguistic Pythagorean fuzzy GMSM (IN2TLPFGMSM) operator, interval-valued 2-tuple linguistic Pythagorean fuzzy weighted GMSM (IV2TLPFWGMSM) operator, interval-valued 2-tuple linguistic Pythagorean fuzzy DMSM (IN2TLPFDMSM) operator, Interval-valued 2-tuple linguistic Pythagorean fuzzy weighted DMSM (IV2TLPFWDMSM) operator. Then the multiple attribute decision making (MADM) methods are developed with these three operators. Finally, an example of green supplier selection is used to show the proposed methods.

Keywords: multiple attribute decision making (MADM); Pythagorean fuzzy numbers; Interval-valued 2-tuple linguistic Pythagorean fuzzy set (IV2TLPFSs); interval-valued 2-tuple linguistic Pythagorean fuzzy MSM (IV2TLPFMSM) operator; Interval-Valued 2-Tuple Linguistic Pythagorean Fuzzy Generalized MSM (IV2TLPFGMSM) operator; interval-valued 2-tuple linguistic Pythagorean fuzzy dual MSM (IV2TLPFDMSM) operator; green supplier selection (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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