Methods for Multiple Attribute Decision Making with Interval-Valued Pythagorean Fuzzy Information

Zengxian Li, Guiwu Wei and Hui Gao
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Zengxian Li: College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, 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 11, 1-27

Abstract: Interval-valued Pythagorean fuzzy numbers (IVPFNs) can easily describe the incomplete and indeterminate information by degrees of membership and non-membership, and the Hamy mean (HM) operator and dual HM (DHM) operators are a good tool for dealing with multiple attribute decision making (MADM) problems because it can capture the interrelationship among the multi-input arguments. Motivated by the studies regarding the HM operator and dual HM operator, we expand the HM operator and dual HM (DMM) operator to process the interval-valued Pythagorean fuzzy numbers (IVPFNs) and then to solve the MADM problems. Firstly, we propose some HM and DHM operators with IVPFNs. Moreover, we present some new methods to solve MADM problems with the IVPFNs. Finally, an applicable example is given.

Keywords: multiple attribute decision making (MADM); Hamy mean (HM) operator; dual Hamy mean (DHM) operator; interval-valued Pythagorean fuzzy numbers (IVPFNs) (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 (2)

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