CHFS: Complex hesitant fuzzy sets‐their applications to decision making with different and innovative distance measures
Abstract The objective of the authors is to establish an innovative concept of the complex hesitant fuzzy set (CHFS), which is the combination of the hesitant fuzzy set and the complex fuzzy set to manage complex and awkward information in the real‐decision theory. The structure and the basic proper...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-03-01
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| Series: | CAAI Transactions on Intelligence Technology |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/cit2.12016 |
| _version_ | 1797990757328486400 |
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| author | Harish Garg Tahir Mahmood Ubaid ur Rehman Zeeshan Ali |
| author_facet | Harish Garg Tahir Mahmood Ubaid ur Rehman Zeeshan Ali |
| author_sort | Harish Garg |
| collection | DOAJ |
| description | Abstract The objective of the authors is to establish an innovative concept of the complex hesitant fuzzy set (CHFS), which is the combination of the hesitant fuzzy set and the complex fuzzy set to manage complex and awkward information in the real‐decision theory. The structure and the basic properties of the proposed set are studied in detail. Based on the internal structure of the set and to find the degree of the discrimination between the pairs of the CHFSs, the generalized distance measures and modified generalized distance measures are defined. Several properties and their relationship between them are derived in detail. Also, several cases of the proposed measures are exposed which reduce them to the existing studies. Furthermore, based on these proposed measures, a decision‐making approach is established under the uncertain environment and several numerical examples are given to examine the feasibility and validity of the explored measures. Finally, the credibility of the modified and parameterized distance measures based on CHFSs is verified by comparing them with some existing measures. |
| first_indexed | 2024-04-11T08:40:31Z |
| format | Article |
| id | doaj.art-f5548a8e7f65423d907d50d8e2b5aaef |
| institution | Directory Open Access Journal |
| issn | 2468-2322 |
| language | English |
| last_indexed | 2024-04-11T08:40:31Z |
| publishDate | 2021-03-01 |
| publisher | Wiley |
| record_format | Article |
| series | CAAI Transactions on Intelligence Technology |
| spelling | doaj.art-f5548a8e7f65423d907d50d8e2b5aaef2022-12-22T04:34:13ZengWileyCAAI Transactions on Intelligence Technology2468-23222021-03-01619312210.1049/cit2.12016CHFS: Complex hesitant fuzzy sets‐their applications to decision making with different and innovative distance measuresHarish Garg0Tahir Mahmood1Ubaid ur Rehman2Zeeshan Ali3School of Mathematics, Thapar Institute of Engineering and Technology Deemed University Patiala Punjab IndiaDepartment of Mathematics and Statistics International Islamic University Islamabad PakistanDepartment of Mathematics and Statistics International Islamic University Islamabad PakistanDepartment of Mathematics and Statistics International Islamic University Islamabad PakistanAbstract The objective of the authors is to establish an innovative concept of the complex hesitant fuzzy set (CHFS), which is the combination of the hesitant fuzzy set and the complex fuzzy set to manage complex and awkward information in the real‐decision theory. The structure and the basic properties of the proposed set are studied in detail. Based on the internal structure of the set and to find the degree of the discrimination between the pairs of the CHFSs, the generalized distance measures and modified generalized distance measures are defined. Several properties and their relationship between them are derived in detail. Also, several cases of the proposed measures are exposed which reduce them to the existing studies. Furthermore, based on these proposed measures, a decision‐making approach is established under the uncertain environment and several numerical examples are given to examine the feasibility and validity of the explored measures. Finally, the credibility of the modified and parameterized distance measures based on CHFSs is verified by comparing them with some existing measures.https://doi.org/10.1049/cit2.12016decision makingfuzzy set theory |
| spellingShingle | Harish Garg Tahir Mahmood Ubaid ur Rehman Zeeshan Ali CHFS: Complex hesitant fuzzy sets‐their applications to decision making with different and innovative distance measures CAAI Transactions on Intelligence Technology decision making fuzzy set theory |
| title | CHFS: Complex hesitant fuzzy sets‐their applications to decision making with different and innovative distance measures |
| title_full | CHFS: Complex hesitant fuzzy sets‐their applications to decision making with different and innovative distance measures |
| title_fullStr | CHFS: Complex hesitant fuzzy sets‐their applications to decision making with different and innovative distance measures |
| title_full_unstemmed | CHFS: Complex hesitant fuzzy sets‐their applications to decision making with different and innovative distance measures |
| title_short | CHFS: Complex hesitant fuzzy sets‐their applications to decision making with different and innovative distance measures |
| title_sort | chfs complex hesitant fuzzy sets their applications to decision making with different and innovative distance measures |
| topic | decision making fuzzy set theory |
| url | https://doi.org/10.1049/cit2.12016 |
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