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

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.