Downloading: A Study of Normalized Geometric and Normalized Hamming Distance Measures in Intuitionistic Fuzzy Multi Sets
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

ISSN: 2319-7064



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A Study of Normalized Geometric and Normalized Hamming Distance Measures in Intuitionistic Fuzzy Multi Sets

P. Rajarajeswari, N. Uma

Abstract: The Normalized Geometric and Normalized Hamming distance measures of Intuitionistic Fuzzy Multi sets (IFMS) are presented in depth in this paper. Due to the wide applications in various fields, the distance measure plays a vital role in Intuitionistic Fuzzy sets (IFS). We extend the distance measure of IFS to IFMS as there are possibilities of multi membership, non membership for the same element. To demonstrate the efficiency of the proposed measures, the properties of distance measures are analysed. As the proposed method is mathematically valid, it can be applied to any decision making problems, medical diagnosis, engineering problems, pattern recognition, etc. The application of medical diagnosis and pattern recognition shows that the proposed distance measures are much simpler, well suited one to use with linguistic variables.

Keywords: Intuitionistic fuzzy set, Intuitionistic Fuzzy Multi sets, Geometric Distance, Normalized Hamming distance



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