Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 김희식 | - |
dc.date.accessioned | 2019-12-09T16:56:40Z | - |
dc.date.available | 2019-12-09T16:56:40Z | - |
dc.date.issued | 2018-10 | - |
dc.identifier.citation | MATHEMATICS, v. 6, no. 11, Article no. 215 | en_US |
dc.identifier.issn | 2227-7390 | - |
dc.identifier.uri | https://www.mdpi.com/2227-7390/6/11/215 | - |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/120253 | - |
dc.description.abstract | Atanassov's intuitionistic fuzzy sets extend the notion of fuzzy sets. In addition to Zadeh's membership function, a non-membership function is also considered. Intuitionistic fuzzy values play a crucial role in both theoretical and practical progress of intuitionistic fuzzy sets. This study introduces and explores various types of centroid transformations of intuitionistic fuzzy values. First, we present some new concepts for intuitionistic fuzzy values, including upper determinations, lower determinations, spectrum triangles, simple intuitionistic fuzzy averaging operators and simply weighted intuitionistic fuzzy averaging operators. With the aid of these notions, we construct centroid transformations, weighted centroid transformations, simple centroid transformations and simply weighted centroid transformations. We provide some basic characterizations regarding various types of centroid transformations, and show their difference using an illustrating example. Finally, we focus on simple centroid transformations and investigate the limit properties of simple centroid transformation sequences. Among other facts, we show that a simple centroid transformation sequence converges to the simple intuitionistic fuzzy average of the lower and upper determinations of the first intuitionistic fuzzy value in the sequence. | en_US |
dc.description.sponsorship | This work was partially supported by National Natural Science Foundation of China (Program No. 11301415), Natural Science Basic Research Plan in Shaanxi Province of China (Program No. 2018JM1054), Scientific Research Program Funded by Shaanxi Provincial Education Department of China (Program No. 16JK1696), and the Special Funds Project for Key Disciplines Construction of Shaanxi Universities. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | MDPI | en_US |
dc.subject | intuitionistic fuzzy value | en_US |
dc.subject | intuitionistic fuzzy set | en_US |
dc.subject | score function | en_US |
dc.subject | centroid | en_US |
dc.subject | aggregation | en_US |
dc.title | Centroid Transformations of Intuitionistic Fuzzy Values Based on Aggregation Operators | en_US |
dc.type | Article | en_US |
dc.relation.no | 11 | - |
dc.relation.volume | 6 | - |
dc.identifier.doi | 10.3390/math6110215 | - |
dc.relation.page | 215-231 | - |
dc.relation.journal | MATHEMATICS | - |
dc.contributor.googleauthor | Liu, Xiaoyan | - |
dc.contributor.googleauthor | Kim, Hee Sik | - |
dc.contributor.googleauthor | Feng, Feng | - |
dc.contributor.googleauthor | Alcantud, Jose Carlos R. | - |
dc.relation.code | 2018044806 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | heekim | - |
dc.identifier.orcid | https://orcid.org/0000-0001-5321-5919 | - |
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