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A New Similarity Measure between Intuitionistic Fuzzy Multisets based on their Cardinality with Applications to Pattern Recognition and Medical Diagnosis Dhivya J.*, Sridevi B.** *Department of Mathematics, Kumaraguru College of Technology, Coimbatore, India. jdhivyamaths@gmail.com **Department of Mathematics, PSG College of Technology, Coimbatore, Tamil Nadu, India. bsd@mat.psgtech.ac.in Online published on 23 March, 2017. Abstract In this paper, a new similarity measure between Intuitionistic Fuzzy Multisets (IFMSs) based on their cardinality is proposed. Some properties of the proposed similarity measure between IFMSs are proved. The unique feature of the proposed measure is that the similarity measure can be applied for both intuitionistic fuzzy sets (IFS) and intuitionistic fuzzy multisets (IFMSs). Illustrative examples are taken to discuss that the proposed similarity measure can overcome the drawback of the existing similarity measure. Further the proposed similarity measure is also applied to pattern recognition and medical diagnosis problems. Top Keywords Fuzzy Set (FS), Intuitionistic Fuzzy Set (IFS), Fuzzy Multisets (FMSs), Intuitionistic Fuzzy Multisets (IFMSs). Top | |
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