Normalized Hamming Similarity Measure for Intuitionistic Fuzzy Multi Sets and Its Application in Medical Diagnosis

P. Rajarajeswari; N. Uma

doi:https://doi.org/10.14445/22315373/IJMTT-V5P525

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 5 | Number 2 | Year 2014 | Article Id. IJMTT-V5P525 | DOI : https://doi.org/10.14445/22315373/IJMTT-V5P525

Normalized Hamming Similarity Measure for Intuitionistic Fuzzy Multi Sets and Its Application in Medical Diagnosis

P. Rajarajeswari , N. Uma

Citation :

P. Rajarajeswari , N. Uma, "Normalized Hamming Similarity Measure for Intuitionistic Fuzzy Multi Sets and Its Application in Medical Diagnosis," International Journal of Mathematics Trends and Technology (IJMTT), vol. 5, no. 2, pp. 219-225, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V5P525

Abstract

As Similarity measure for fuzzy sets is one of the important research topics of fuzzy set theory, there are several methods to measure similarity between two fuzzy sets (FS), Intuitionistic fuzzy sets (IFS) and Intuitionistic fuzzy multi sets (IFMS). In this paper, the Normalized Hamming Similarity measure of Intuitionistic Fuzzy Multi sets (IFMS) is introduced. This new measure for IFMS is based on the geometrical interpretation of IFS which involves both similarity and dissimilarity. Using this measure, the application of medical diagnosis and pattern recognition are shown.

Keywords

Intuitionistic fuzzy set, Intuitionistic Fuzzy Multi sets, Normalized Hamming distance, Pattern Recognition, Medical Diagnosis.

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