Hamming Distance in Intuitionistic Fuzzy Sets and Interval-Valued Intuitionistic Fuzzy Sets: A Comparative Analysis
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| Title | Hamming Distance in Intuitionistic Fuzzy Sets and Interval-Valued Intuitionistic Fuzzy Sets: A Comparative Analysis |
| Authors | |
| Abstract | Intuitionistic fuzzy set (IFS) was proposed in early 80’s. It is a well-known theory and has gained much attention from past and later researchers for application in various fields. As a development in mathematical study specifically in fuzzy mathematics, interval-valued intuitionistic fuzzy sets (IVIFS) were developed afterwards by Gargo and Atanssov as an extension of intuitionistic fuzzy sets which is also important and had been used in many related fields such as optimization and algebra. Hamming distance is one of the methods to calculate the distance between fuzzy numbers. However, Hamming distance in intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets have not been fully explored. This paper aims to make a comparison between Hamming distance in intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets. The stepwise conversion of intuitionistic fuzzy sets to interval-valued intuitionistic fuzzy sets is also proposed. The comparative analysis shows that the distance between these two sets is slightly differ due to boundaries in interval-valued intuitionistic fuzzy sets. |
| Publisher | Advances in Computational Mathematics and its Applications |
| Date | 2012-02-19 |
| Source | 2167-6356 |
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