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Applied Mathematics-A Journal of Chinese Universities  2019, Vol. 34 Issue (2): 229-252    DOI: 10.1007/s11766-019-3708-x
    
A novel similarity measure between intuitionistic fuzzy sets based on the mid points of transformed triangular fuzzy numbers with applications to pattern recognition and medical diagnosis
J Dhivya1, B Sridevi
1 Department of Mathematics, Kumaraguru College of Technology, Coimbatore, Tamil Nadu, India.
2 Department of Mathematics, PSG College of Technology, Coimbatore, Tamil Nadu, India.
A novel similarity measure between intuitionistic fuzzy sets based on the mid points of transformed triangular fuzzy numbers with applications to pattern recognition and medical diagnosis
J Dhivya1, B Sridevi
1 Department of Mathematics, Kumaraguru College of Technology, Coimbatore, Tamil Nadu, India.
2 Department of Mathematics, PSG College of Technology, Coimbatore, Tamil Nadu, India.
 全文: PDF 
摘要： Similarity measure is an essential tool to compare and determine the degree of
similarity between intuitionistic fuzzy sets (IFSs). In this paper, a new similarity measure
between intuitionistic fuzzy sets based on the mid points of transformed triangular fuzzy numbers
is proposed. The proposed similarity measure provides reasonable results not only for the sets
available in the literature but also gives very reasonable results, especially for fuzzy sets as well
as for most intuitionistic fuzzy sets. To provide supportive evidence, the proposed similarity
measure is tested on certain sets available in literature and is also applied to pattern recognition
and medical diagnosis problems. It is observed that the proposed similarity measure provides a
very intuitive quantification.
关键词： Fuzzy sets (FSs);  Intuitionistic fuzzy sets (IFSs);  Most intuitionistic fuzzy sets (MIFSs);  Similarity measure (SM);  Transformed triangular fuzzy numbers (TTFNs)    
Abstract: Similarity measure is an essential tool to compare and determine the degree of
similarity between intuitionistic fuzzy sets (IFSs). In this paper, a new similarity measure
between intuitionistic fuzzy sets based on the mid points of transformed triangular fuzzy numbers
is proposed. The proposed similarity measure provides reasonable results not only for the sets
available in the literature but also gives very reasonable results, especially for fuzzy sets as well
as for most intuitionistic fuzzy sets. To provide supportive evidence, the proposed similarity
measure is tested on certain sets available in literature and is also applied to pattern recognition
and medical diagnosis problems. It is observed that the proposed similarity measure provides a
very intuitive quantification.
Key words: Fuzzy sets (FSs)    Intuitionistic fuzzy sets (IFSs)    Most intuitionistic fuzzy sets (MIFSs)    Similarity measure (SM)    Transformed triangular fuzzy numbers (TTFNs)
出版日期: 2019-07-03
CLC:  35B35  
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引用本文:

J Dhivya, B Sridevi. A novel similarity measure between intuitionistic fuzzy sets based on the mid points of transformed triangular fuzzy numbers with applications to pattern recognition and medical diagnosis[J]. Applied Mathematics-A Journal of Chinese Universities, 2019, 34(2): 229-252.

J Dhivya, B Sridevi. A novel similarity measure between intuitionistic fuzzy sets based on the mid points of transformed triangular fuzzy numbers with applications to pattern recognition and medical diagnosis. Applied Mathematics-A Journal of Chinese Universities, 2019, 34(2): 229-252.

链接本文:

http://www.zjujournals.com/amjcub/CN/10.1007/s11766-019-3708-x    或    http://www.zjujournals.com/amjcub/CN/Y2019/V34/I2/229

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