Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets
Since the sufficient conditions for the maximum value of the intuitionistic fuzzy entropy are not unified and the hesitant fuzzy entropy cannot be compared when the lengths of the hesitation fuzzy elements are not equal, improved axiomatic definitions of intuitionistic fuzzy entropy and hesitant fuz...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1585079 |
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| _version_ | 1832546068611465216 |
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| author | Bicheng Yu Xuejun Zhao Mingfa Zheng Xiujiu Yuan Bei Hou |
| author_facet | Bicheng Yu Xuejun Zhao Mingfa Zheng Xiujiu Yuan Bei Hou |
| author_sort | Bicheng Yu |
| collection | DOAJ |
| description | Since the sufficient conditions for the maximum value of the intuitionistic fuzzy entropy are not unified and the hesitant fuzzy entropy cannot be compared when the lengths of the hesitation fuzzy elements are not equal, improved axiomatic definitions of intuitionistic fuzzy entropy and hesitant fuzzy entropy are proposed, and new intuitionistic fuzzy entropy and hesitant fuzzy entropy based on the improved axiomatic definitions are established. This paper defines the fuzzy entropy that satisfies the properties based on the axiomatized definition of fuzzy entropy and, based on the fuzzy entropy, defines new intuitionistic fuzzy entropy and hesitant fuzzy entropy, so that the three are unified in form. The validity and rationality of the proposed intuitionistic fuzzy entropy and hesitant fuzzy entropy are verified by analysis. |
| format | Article |
| id | doaj-art-85bd676f761943c99eb21e094931af95 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-85bd676f761943c99eb21e094931af952025-02-03T07:23:56ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1585079Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy SetsBicheng Yu0Xuejun Zhao1Mingfa Zheng2Xiujiu Yuan3Bei Hou4Department of Basic ScienceDepartment of Basic ScienceDepartment of Basic ScienceDepartment of Basic ScienceInformation and Navigation CollegeSince the sufficient conditions for the maximum value of the intuitionistic fuzzy entropy are not unified and the hesitant fuzzy entropy cannot be compared when the lengths of the hesitation fuzzy elements are not equal, improved axiomatic definitions of intuitionistic fuzzy entropy and hesitant fuzzy entropy are proposed, and new intuitionistic fuzzy entropy and hesitant fuzzy entropy based on the improved axiomatic definitions are established. This paper defines the fuzzy entropy that satisfies the properties based on the axiomatized definition of fuzzy entropy and, based on the fuzzy entropy, defines new intuitionistic fuzzy entropy and hesitant fuzzy entropy, so that the three are unified in form. The validity and rationality of the proposed intuitionistic fuzzy entropy and hesitant fuzzy entropy are verified by analysis.http://dx.doi.org/10.1155/2022/1585079 |
| spellingShingle | Bicheng Yu Xuejun Zhao Mingfa Zheng Xiujiu Yuan Bei Hou Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets Journal of Mathematics |
| title | Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets |
| title_full | Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets |
| title_fullStr | Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets |
| title_full_unstemmed | Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets |
| title_short | Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets |
| title_sort | entropy on intuitionistic fuzzy sets and hesitant fuzzy sets |
| url | http://dx.doi.org/10.1155/2022/1585079 |
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