Novel Complex Intuitionistic Hesitant Fuzzy Distance Measures for Solving Decision-Support Problems
The key objective of this article is to introduce the innovative idea of a complex intuitionistic hesitant fuzzy set (CIHFS), which blends the intuitionistic hesitant fuzzy set with the complex fuzzy set to address the uncertain information in real-life complex problems. In CIHFS, the range of the m...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2024/7498053 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849401603560308736 |
|---|---|
| author | Shahzaib Ashraf Muhammad Ahmed Muhammad Naeem Quashie Duodu |
| author_facet | Shahzaib Ashraf Muhammad Ahmed Muhammad Naeem Quashie Duodu |
| author_sort | Shahzaib Ashraf |
| collection | DOAJ |
| description | The key objective of this article is to introduce the innovative idea of a complex intuitionistic hesitant fuzzy set (CIHFS), which blends the intuitionistic hesitant fuzzy set with the complex fuzzy set to address the uncertain information in real-life complex problems. In CIHFS, the range of the membership functions is extended from the subset of the real number to the unit disc under the hesitant environment. To determine how well the CIHFSs can be distinguished from one another, we first propose generalized distance measures and weighted generalized distance measures based on the Hamming, Euclidean, and Hausdorff metrics. Some interesting properties and their relationships are thoroughly discussed. Furthermore, a decision-making framework for selecting the optimal option from the feasible set has been proposed, which is grounded in these distance metrics. For the purpose of proving the method’s efficacy, we included examples from pattern recognition and medical diagnostics. |
| format | Article |
| id | doaj-art-88201a051a9c48f8a28ec313bd3d0b09 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-88201a051a9c48f8a28ec313bd3d0b092025-08-20T03:37:44ZengWileyDiscrete Dynamics in Nature and Society1607-887X2024-01-01202410.1155/2024/7498053Novel Complex Intuitionistic Hesitant Fuzzy Distance Measures for Solving Decision-Support ProblemsShahzaib Ashraf0Muhammad Ahmed1Muhammad Naeem2Quashie Duodu3Institute of MathematicsInstitute of MathematicsDepartment of MathematicsDepartment of Computer ScienceThe key objective of this article is to introduce the innovative idea of a complex intuitionistic hesitant fuzzy set (CIHFS), which blends the intuitionistic hesitant fuzzy set with the complex fuzzy set to address the uncertain information in real-life complex problems. In CIHFS, the range of the membership functions is extended from the subset of the real number to the unit disc under the hesitant environment. To determine how well the CIHFSs can be distinguished from one another, we first propose generalized distance measures and weighted generalized distance measures based on the Hamming, Euclidean, and Hausdorff metrics. Some interesting properties and their relationships are thoroughly discussed. Furthermore, a decision-making framework for selecting the optimal option from the feasible set has been proposed, which is grounded in these distance metrics. For the purpose of proving the method’s efficacy, we included examples from pattern recognition and medical diagnostics.http://dx.doi.org/10.1155/2024/7498053 |
| spellingShingle | Shahzaib Ashraf Muhammad Ahmed Muhammad Naeem Quashie Duodu Novel Complex Intuitionistic Hesitant Fuzzy Distance Measures for Solving Decision-Support Problems Discrete Dynamics in Nature and Society |
| title | Novel Complex Intuitionistic Hesitant Fuzzy Distance Measures for Solving Decision-Support Problems |
| title_full | Novel Complex Intuitionistic Hesitant Fuzzy Distance Measures for Solving Decision-Support Problems |
| title_fullStr | Novel Complex Intuitionistic Hesitant Fuzzy Distance Measures for Solving Decision-Support Problems |
| title_full_unstemmed | Novel Complex Intuitionistic Hesitant Fuzzy Distance Measures for Solving Decision-Support Problems |
| title_short | Novel Complex Intuitionistic Hesitant Fuzzy Distance Measures for Solving Decision-Support Problems |
| title_sort | novel complex intuitionistic hesitant fuzzy distance measures for solving decision support problems |
| url | http://dx.doi.org/10.1155/2024/7498053 |
| work_keys_str_mv | AT shahzaibashraf novelcomplexintuitionistichesitantfuzzydistancemeasuresforsolvingdecisionsupportproblems AT muhammadahmed novelcomplexintuitionistichesitantfuzzydistancemeasuresforsolvingdecisionsupportproblems AT muhammadnaeem novelcomplexintuitionistichesitantfuzzydistancemeasuresforsolvingdecisionsupportproblems AT quashieduodu novelcomplexintuitionistichesitantfuzzydistancemeasuresforsolvingdecisionsupportproblems |