| dc.contributor.author | Li Li | |
| dc.contributor.author | Xin Wang | |
| dc.contributor.other | College of Mathematical Sciences, Bohai University, Jinzhou 121000, China | |
| dc.contributor.other | College of Mathematical Sciences, Bohai University, Jinzhou 121000, China | |
| dc.date.accessioned | 2025-08-27T02:32:07Z | |
| dc.date.accessioned | 2025-10-08T09:24:45Z | |
| dc.date.available | 2025-10-08T09:24:45Z | |
| dc.date.issued | 01-04-2025 | |
| dc.identifier.uri | https://www.aimspress.com/article/doi/10.3934/math.2025399 | |
| dc.identifier.uri | http://digilib.fisipol.ugm.ac.id/repo/handle/15717717/40276 | |
| dc.description.abstract | The development of knowledge measures and uncertainty measures for constructing interval-valued Pythagorean fuzzy sets (IVPFS) have garnered significant attention in recent years. Nevertheless, existing uncertainty measures predominantly depend on entropy-based approaches, which exhibit limitations in effectively characterizing the knowledge inherent in interval intuitionistic fuzzy sets. This study extends the axiomatic framework of knowledge measures for fuzzy sets by introducing a novel distance-based knowledge measure function. The proposed measure is rigorously validated through comprehensive mathematical analysis and supported by extensive numerical examples. Furthermore, this research extends the entropy properties from interval-valued intuitionistic fuzzy sets to their Pythagorean counterparts while providing rigorous proofs of their compliance with axiomatic definitions. To demonstrate practical applicability, the proposed entropy measure is implemented in multi-attribute group decision-making scenarios involving unknown interval-valued Pythagorean fuzzy information. Experimental results substantiate both the validity and practical utility of the proposed measures. | |
| dc.language.iso | EN | |
| dc.publisher | AIMS Press | |
| dc.subject.lcc | Mathematics | |
| dc.title | Hamming distance-based knowledge measure and entropy for interval-valued Pythagorean fuzzy sets | |
| dc.type | Article | |
| dc.description.keywords | interval-valued pythagorean fuzzy set | |
| dc.description.keywords | knowledge measure | |
| dc.description.keywords | entropy | |
| dc.description.keywords | distance | |
| dc.description.keywords | multiple attribute decision problem | |
| dc.description.pages | 8707-8720 | |
| dc.description.doi | 10.3934/math.2025399 | |
| dc.title.journal | AIMS Mathematics | |
| dc.identifier.e-issn | 2473-6988 | |
| dc.identifier.oai | oai:doaj.org/journal:59bd9a797a2841478558ffafec6f7557 | |
| dc.journal.info | Volume 10, Issue 4 | |
