Novel Technique for Group Decision-Making under Fuzzy Parameterized q-Rung Orthopair Fuzzy Soft Expert Framework
The q-rung orthopair fuzzy sets and their hybrid models are capable of dealing with uncertain situations very effectively than the theories of intuitionistic and Pythagorean fuzzy sets and thus have numerous decision-making applications in daily life, while the fuzzy parameterized soft set theory ha...
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| Vydáno v: | Mathematical problems in engineering Ročník 2021; s. 1 - 22 |
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27.10.2021
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| Abstract | The q-rung orthopair fuzzy sets and their hybrid models are capable of dealing with uncertain situations very effectively than the theories of intuitionistic and Pythagorean fuzzy sets and thus have numerous decision-making applications in daily life, while the fuzzy parameterized soft set theory has its impact on different decision-making scenarios. Motivated by these facts, in this research article, these theories are combined to form a new structure named fuzzy parameterized q-rung orthopair fuzzy soft expert sets (FPq ROFSESs) for dealing with more generalized information. The developed model is an efficient extension of fuzzy parameterized intuitionistic fuzzy soft expert sets. Some of its basic notions, including subset, complement, OR operation, AND operation, intersection, and union are studied and illustrated via examples. Moreover, to show the applicability and efficiency of the developed model, two real-life applications are solved under the FPq ROFSES approach, which is supported by an algorithm, the first application is about selecting an appropriate site for a cafe outlet, and the second application is about selecting the Best News Channel for an award. At last, a comparison of the initiated model with some existing approaches is presented to verify its advantages over them. |
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| AbstractList | The
q
-rung orthopair fuzzy sets and their hybrid models are capable of dealing with uncertain situations very effectively than the theories of intuitionistic and Pythagorean fuzzy sets and thus have numerous decision-making applications in daily life, while the fuzzy parameterized soft set theory has its impact on different decision-making scenarios. Motivated by these facts, in this research article, these theories are combined to form a new structure named fuzzy parameterized
q
-rung orthopair fuzzy soft expert sets (
FP
q
ROFSESs) for dealing with more generalized information. The developed model is an efficient extension of fuzzy parameterized intuitionistic fuzzy soft expert sets. Some of its basic notions, including subset, complement, OR operation, AND operation, intersection, and union are studied and illustrated via examples. Moreover, to show the applicability and efficiency of the developed model, two real-life applications are solved under the
FP
q
ROFSES approach, which is supported by an algorithm, the first application is about selecting an appropriate site for a cafe outlet, and the second application is about selecting the Best News Channel for an award. At last, a comparison of the initiated model with some existing approaches is presented to verify its advantages over them. The q-rung orthopair fuzzy sets and their hybrid models are capable of dealing with uncertain situations very effectively than the theories of intuitionistic and Pythagorean fuzzy sets and thus have numerous decision-making applications in daily life, while the fuzzy parameterized soft set theory has its impact on different decision-making scenarios. Motivated by these facts, in this research article, these theories are combined to form a new structure named fuzzy parameterized q-rung orthopair fuzzy soft expert sets (FPq ROFSESs) for dealing with more generalized information. The developed model is an efficient extension of fuzzy parameterized intuitionistic fuzzy soft expert sets. Some of its basic notions, including subset, complement, OR operation, AND operation, intersection, and union are studied and illustrated via examples. Moreover, to show the applicability and efficiency of the developed model, two real-life applications are solved under the FPq ROFSES approach, which is supported by an algorithm, the first application is about selecting an appropriate site for a cafe outlet, and the second application is about selecting the Best News Channel for an award. At last, a comparison of the initiated model with some existing approaches is presented to verify its advantages over them. |
| Author | Ali, Ghous Sarwar, Musavarah |
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| Cites_doi | 10.4236/am.2014.59127 10.1007/s40314-020-01284-7 10.1002/int.22520 10.1007/s10462-021-10027-x 10.1155/2021/5874216 10.1007/s12652-019-01377-0 10.1109/TFUZZ.2018.2860967 10.1155/2012/258361 10.31181/rme2001020105t 10.1016/s0898-1221(99)00056-5 10.3390/math9172163 10.1007/s13369-020-04733-x 10.1111/exsy.12609 10.3233/jifs-192195 10.1016/j.asoc.2014.11.053 10.1155/2020/9874951 10.1016/s0019-9958(65)90241-x 10.1016/j.asoc.2021.107653 10.1007/s10462-021-10003-5 10.1109/TFUZZ.2016.2604005 10.1007/s00521-021-05850-w 10.1007/s00500-021-05610-x 10.1007/s41066-021-00270-6 10.1016/j.seps.2021.101098 10.1002/int.22028 10.1155/2011/757868 10.1002/int.21927 10.31181/rme200102135a 10.22190/fume200307036r 10.1016/s0165-0114(86)80034-3 10.22190/FUME190420039P 10.1109/ifsa-nafips.2013.6608375 10.1016/s0898-1221(03)00016-6 10.1007/s00521-021-06036-0 10.1002/int.22377 10.1007/s12652-020-02227-0 |
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| Copyright | Copyright © 2021 Ghous Ali and Musavarah Sarwar. Copyright © 2021 Ghous Ali and Musavarah Sarwar. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
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| SubjectTerms | Algorithms COVID-19 Decision making Decision theory Fuzzy set theory Fuzzy sets Mathematical problems Parameterization Set theory |
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