Journal
INFORMATION SCIENCES
Volume 343, Issue -, Pages 15-40Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2016.01.040
Keywords
Centroid points; Intuitionistic fuzzy values; Intuitionistic fuzzy sets; Right-angled triangular fuzzy numbers; Similarity measures
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Funding
- Chienkuo Technology University, Changhua, Taiwan [CTU-103-RP-KH-001-019-A]
- Ministry of Science and Technology, Republic of China [MOST 103-2221-E-011-108-MY2]
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In this paper, we propose a new similarity measure between intuitionistic fuzzy values based on the centroid points of transformed right-angled triangular fuzzy numbers. We also prove some properties of the proposed similarity measure between intuitionistic fuzzy values. Based on the proposed similarity measure between intuitionistic fuzzy values, we propose a, new similarity measure between intuitionistic fuzzy sets. We also apply the proposed similarity measure between intuitionistic fuzzy sets to deal with pattern recognition problems. The experimental results show that the proposed similarity measure between intuitionistic fuzzy sets can overcome the drawbacks of the existing similarity measures. The proposed similarity measure provides us with a useful way for dealing with pattern recognition problems in intuitionistic fuzzy environments. (C) 2016 Elsevier Inc. All rights reserved.
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