dc.contributor.author
Gao, Xiaozhuan
dc.contributor.author
Deng, Yong
dc.date.accessioned
2021-09-02T08:52:53Z
dc.date.available
2021-08-21T03:11:16Z
dc.date.available
2021-09-02T08:52:53Z
dc.date.issued
2021-10
dc.identifier.issn
0952-1976
dc.identifier.other
10.1016/j.engappai.2021.104403
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/501668
dc.description.abstract
Fuzzy sets have been widely concerned due it can better deal with more complex and uncertain problems. To expand the application of fuzzy sets, Yager proposed Pythagorean fuzzy sets (PFS) which has been used in many fields. However, in the most cases, the PFS can be generated by expert assessment, which can limit the application of PFS. Hence, how to reasonably generate Pythagorean fuzzy number from known information is a problem worthy of discussion. The paper proposed a method to generate the Pythagorean fuzzy number by considering the negation of probability, namely Pythagorean fuzzy sets based on negation (NPFS). The probability and the probability after negation can be understood as membership and non-membership in the Pythagorean fuzzy number. Besides, NPFS is also set the connection between probability and PFS. There are some numerical examples used to explain the proposed NPFS. In order to explore the effectiveness of NPFS, the paper can not only apply NPFS to artificial decision-making, but also to data-driven applications, which used to handle the multi-criterion decision making (MCDM) and classification problems. In MCDM, the paper applied the NPFS into TOPSIS and used the fault diagnosis to verify its effectiveness by comparing with the results of probability. In the application of classification, the paper proposed the classification method based on NPFS and used real world data to verify the effectiveness of the proposed method.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Elsevier
en_US
dc.subject
Fuzzy sets
en_US
dc.subject
Pythagorean fuzzy sets
en_US
dc.subject
Negation
en_US
dc.subject
Multi-criterion decision making
en_US
dc.subject
Classification
en_US
dc.title
Generating method of Pythagorean fuzzy sets from the negation of probability
en_US
dc.type
Journal Article
dc.date.published
2021-08-12
ethz.journal.title
Engineering Applications of Artificial Intelligence
ethz.journal.volume
105
en_US
ethz.journal.abbreviated
Eng. Appl. Artif. Intell.
ethz.pages.start
104403
en_US
ethz.size
11 p.
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Oxford
en_US
ethz.publication.status
published
en_US
ethz.date.deposited
2021-08-21T03:11:18Z
ethz.source
SCOPUS
ethz.eth
yes
en_US
ethz.availability
en_US
ethz.rosetta.installDate
2021-09-02T08:53:00Z
ethz.rosetta.lastUpdated
2022-03-29T11:27:03Z
ethz.rosetta.versionExported
true
ethz.COinS
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