Methods for Multiple Attribute Decision Making with Interval-Valued Pythagorean Fuzzy Information
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) prob...
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| Veröffentlicht in: | Mathematics (Basel) Jg. 6; H. 11; S. 228 |
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| Sprache: | Englisch |
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29.10.2018
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| ISSN: | 2227-7390, 2227-7390 |
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| 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. |
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| AbstractList | 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. |
| Author | Li, Zengxian Gao, Hui Wei, Guiwu |
| Author_xml | – sequence: 1 givenname: Zengxian surname: Li fullname: Li, Zengxian – sequence: 2 givenname: Guiwu orcidid: 0000-0001-9074-2005 surname: Wei fullname: Wei, Guiwu – sequence: 3 givenname: Hui surname: Gao fullname: Gao, Hui |
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| SubjectTerms | Accuracy Decision making dual Hamy mean (DHM) operator Fuzzy sets Hamy mean (HM) operator interval-valued Pythagorean fuzzy numbers (IVPFNs) Mathematics multiple attribute decision making (MADM) Operators |
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