A new similarity measure of interval-valued intuitionistic fuzzy sets considering its hesitancy degree and applications in expert systems
type: Item
instance of: scholarly article
title: A new similarity measure of interval-valued intuitionistic fuzzy sets considering its hesitancy degree and applications in expert systems
zbMATH Open document ID: 1407.91097
DOI: 10.1155/2014/359214
author: Chong Wu
author: Peng Luo
author: Yongli Li
author: Xuekun Ren
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: As an important content in fuzzy mathematics, similarity measure is used to measure the similarity degree between two fuzzy sets. Considering the existing similarity measures, most of them do not consider the hesitancy degree and some methods considering the hesitancy degree are based on the intuitionistic fuzzy sets, intuitionistic fuzzy values. It may cause some counterintuitive results in some cases. In order to make up for the drawback, we present a new approach to construct the similarity measure between two interval-valued intuitionistic fuzzy sets using the entropy measure and considering the hesitancy degree. In particular, the proposed measure was demonstrated to yield a similarity measure. Besides, some examples are given to prove the practicality and effectiveness of the new measure. We also apply the similarity measure to expert system to solve the problems on pattern recognition and the multicriteria group decision making. In these examples, we also compare it with existing methods such as other similarity measures and the ideal point method.
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 90C70
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 7016243
Wikidata QID: Q59064555
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/359214
OpenAlex ID: W2033426364
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description: scientific article; zbMATH DE number 7016243