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The Intuitionistic Fuzzy Linguistic Cosine Similarity Measure and Its Application in Pattern Recognition
Joint Authors
Peng, Dan
Liu, Donghai
Chen, Xiaohong
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-22
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We propose the cosine similarity measures for intuitionistic fuzzy linguistic sets (IFLSs) and interval-valued intuitionistic fuzzy linguistic sets (IVIFLSs), which are expressed by the linguistic scale function based on the cosine function.
Then, the weighted cosine similarity measure and the ordered weighted cosine similarity measure for IFLSs and IVIFLSs are introduced by taking into account the importance of each element, and the properties of the cosine similarity measures are also given.
The main advantage of the proposed cosine similarity measures is that the decision-makers can flexibly select the linguistic scale function depending on the actual semantic situation.
Finally, we present the application of the cosine similarity measures for intuitionistic fuzzy linguistic term sets and interval-valued intuitionistic fuzzy linguistic term sets to pattern recognition and medical diagnosis, and the existing cosine similarity measures are compared with the proposed cosine similarity measures by the illustrative example.
American Psychological Association (APA)
Liu, Donghai& Chen, Xiaohong& Peng, Dan. 2018. The Intuitionistic Fuzzy Linguistic Cosine Similarity Measure and Its Application in Pattern Recognition. Complexity،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1136502
Modern Language Association (MLA)
Liu, Donghai…[et al.]. The Intuitionistic Fuzzy Linguistic Cosine Similarity Measure and Its Application in Pattern Recognition. Complexity No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1136502
American Medical Association (AMA)
Liu, Donghai& Chen, Xiaohong& Peng, Dan. The Intuitionistic Fuzzy Linguistic Cosine Similarity Measure and Its Application in Pattern Recognition. Complexity. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1136502
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1136502