Novel Dual Partitioned Maclaurin Symmetric Mean Operators for the Selection of Computer Network Security System With Complex Intuitionistic Fuzzy Setting
Intuitionistic fuzzy sets (IFSs) are key concepts in ambiguity and uncertainty. However, IFSs deal only with anticipation, not periodicity. To do so, complex intuitionistic fuzzy sets (CIFS) can handle uncertainties and periodicity simultaneously. Also, the Maclaurin symmetric mean (MSM) operator is...
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2023-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10177937/ |
| _version_ | 1797360169739354112 |
|---|---|
| author | Muhammad Azam Muhammad Sajjad Ali Khan Shilin Yang Saeed Ullah Jan Tapan Senapati Sarbast Moslem Wali Khan Mashwani |
| author_facet | Muhammad Azam Muhammad Sajjad Ali Khan Shilin Yang Saeed Ullah Jan Tapan Senapati Sarbast Moslem Wali Khan Mashwani |
| author_sort | Muhammad Azam |
| collection | DOAJ |
| description | Intuitionistic fuzzy sets (IFSs) are key concepts in ambiguity and uncertainty. However, IFSs deal only with anticipation, not periodicity. To do so, complex intuitionistic fuzzy sets (CIFS) can handle uncertainties and periodicity simultaneously. Also, the Maclaurin symmetric mean (MSM) operator is a better tool for dealing with the criteria’s interrelationships. As a result, this article presents a multi-criteria decision-making (MCDM) approach in the CIFS setting, which draws inspiration from the CIFS and MSM operators. We develop complex intuitionistic fuzzy partitioned dual Maclaurin symmetric mean (CIFPDMSM) operators and their weighted form by considering that all the criteria can be arranged into some groups. The proposed operators deal not only with interrelationships between criteria but also with partitioned relationships among criteria. Some properties of the proposed operators are discussed in detail. Further, an MCDM approach is developed based on the proposed operators in the CIFS environment. To show the effectiveness and application of the developed method, we also present a numerical example for selecting computer network security systems. Finally, the method is compared with the existing technique to demonstrate the proposed method’s applicability and feasibility. |
| first_indexed | 2024-03-08T15:35:24Z |
| format | Article |
| id | doaj.art-39cff9483bf24257bf5a48e7f68ac053 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-03-08T15:35:24Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-39cff9483bf24257bf5a48e7f68ac0532024-01-10T00:03:16ZengIEEEIEEE Access2169-35362023-01-0111850508506610.1109/ACCESS.2023.329422910177937Novel Dual Partitioned Maclaurin Symmetric Mean Operators for the Selection of Computer Network Security System With Complex Intuitionistic Fuzzy SettingMuhammad Azam0Muhammad Sajjad Ali Khan1https://orcid.org/0000-0003-3683-6582Shilin Yang2Saeed Ullah Jan3Tapan Senapati4https://orcid.org/0000-0003-0399-7486Sarbast Moslem5https://orcid.org/0000-0003-4587-7482Wali Khan Mashwani6Faculty of Science, Beijing University of Technology, Beijing, ChinaDepartment of Mathematics, Khushal Khan Khattak University, Karak, PakistanFaculty of Science, Beijing University of Technology, Beijing, ChinaDepartment of Library and Information Science, Khushal Khan Khattak University, Karak, PakistanSchool of Mathematics and Statistics, Southwest University, Beibei, Chongqing, ChinaSchool of Architecture Planning and Environmental Policy, University College Dublin, Belfield, Dublin, IrelandInstitute of Numerical Sciences, Kohat University of Science and Technology, Kohat, PakistanIntuitionistic fuzzy sets (IFSs) are key concepts in ambiguity and uncertainty. However, IFSs deal only with anticipation, not periodicity. To do so, complex intuitionistic fuzzy sets (CIFS) can handle uncertainties and periodicity simultaneously. Also, the Maclaurin symmetric mean (MSM) operator is a better tool for dealing with the criteria’s interrelationships. As a result, this article presents a multi-criteria decision-making (MCDM) approach in the CIFS setting, which draws inspiration from the CIFS and MSM operators. We develop complex intuitionistic fuzzy partitioned dual Maclaurin symmetric mean (CIFPDMSM) operators and their weighted form by considering that all the criteria can be arranged into some groups. The proposed operators deal not only with interrelationships between criteria but also with partitioned relationships among criteria. Some properties of the proposed operators are discussed in detail. Further, an MCDM approach is developed based on the proposed operators in the CIFS environment. To show the effectiveness and application of the developed method, we also present a numerical example for selecting computer network security systems. Finally, the method is compared with the existing technique to demonstrate the proposed method’s applicability and feasibility.https://ieeexplore.ieee.org/document/10177937/CIFSCIFPMSM operatorsCIFWPMSM operatorMCDM method |
| spellingShingle | Muhammad Azam Muhammad Sajjad Ali Khan Shilin Yang Saeed Ullah Jan Tapan Senapati Sarbast Moslem Wali Khan Mashwani Novel Dual Partitioned Maclaurin Symmetric Mean Operators for the Selection of Computer Network Security System With Complex Intuitionistic Fuzzy Setting IEEE Access CIFS CIFPMSM operators CIFWPMSM operator MCDM method |
| title | Novel Dual Partitioned Maclaurin Symmetric Mean Operators for the Selection of Computer Network Security System With Complex Intuitionistic Fuzzy Setting |
| title_full | Novel Dual Partitioned Maclaurin Symmetric Mean Operators for the Selection of Computer Network Security System With Complex Intuitionistic Fuzzy Setting |
| title_fullStr | Novel Dual Partitioned Maclaurin Symmetric Mean Operators for the Selection of Computer Network Security System With Complex Intuitionistic Fuzzy Setting |
| title_full_unstemmed | Novel Dual Partitioned Maclaurin Symmetric Mean Operators for the Selection of Computer Network Security System With Complex Intuitionistic Fuzzy Setting |
| title_short | Novel Dual Partitioned Maclaurin Symmetric Mean Operators for the Selection of Computer Network Security System With Complex Intuitionistic Fuzzy Setting |
| title_sort | novel dual partitioned maclaurin symmetric mean operators for the selection of computer network security system with complex intuitionistic fuzzy setting |
| topic | CIFS CIFPMSM operators CIFWPMSM operator MCDM method |
| url | https://ieeexplore.ieee.org/document/10177937/ |
| work_keys_str_mv | AT muhammadazam noveldualpartitionedmaclaurinsymmetricmeanoperatorsfortheselectionofcomputernetworksecuritysystemwithcomplexintuitionisticfuzzysetting AT muhammadsajjadalikhan noveldualpartitionedmaclaurinsymmetricmeanoperatorsfortheselectionofcomputernetworksecuritysystemwithcomplexintuitionisticfuzzysetting AT shilinyang noveldualpartitionedmaclaurinsymmetricmeanoperatorsfortheselectionofcomputernetworksecuritysystemwithcomplexintuitionisticfuzzysetting AT saeedullahjan noveldualpartitionedmaclaurinsymmetricmeanoperatorsfortheselectionofcomputernetworksecuritysystemwithcomplexintuitionisticfuzzysetting AT tapansenapati noveldualpartitionedmaclaurinsymmetricmeanoperatorsfortheselectionofcomputernetworksecuritysystemwithcomplexintuitionisticfuzzysetting AT sarbastmoslem noveldualpartitionedmaclaurinsymmetricmeanoperatorsfortheselectionofcomputernetworksecuritysystemwithcomplexintuitionisticfuzzysetting AT walikhanmashwani noveldualpartitionedmaclaurinsymmetricmeanoperatorsfortheselectionofcomputernetworksecuritysystemwithcomplexintuitionisticfuzzysetting |