The intuitionistic fuzzy linguistic cosine similarity measure and its application in pattern recognition
type: Item
instance of: scholarly article
title: The intuitionistic fuzzy linguistic cosine similarity measure and its application in pattern recognition
zbMATH Open document ID: 1405.03087
DOI: 10.1155/2018/9073597
author: Dan Peng
author: Dong-Hai Liu
author: Xiaohong Chen
published in: Complexity
publication date: 2019-02-18T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 68T10
Mathematics Subject Classification ID: 68T05
zbMATH DE Number: 7024567
zbMATH Keywords: intuitionistic fuzzy linguistic sets (IFLSs)
zbMATH Keywords: interval-valued intuitionistic fuzzy linguistic sets (IVIFLSs)
zbMATH Keywords: cosine similarity measures
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/9073597
OpenAlex ID: W2801100956
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Wikidata QID: Q129971166
description: scientific article; zbMATH DE number 7024567