Abstract
Distance and similarity measures are fundamentally important in a variety of scientific fields such as decision making, pattern recognition, machine learning and market prediction, lots of studies have been done about this issue on fuzzy sets (Turksen and Zhong 1988; Liu 1992; Bustince 2000; Candan et al. 2000). Among them, the most widely used distance measures for two fuzzy sets are the Hamming distance, the normalized Hamming distance, the Euclidean distance, and the normalized Euclidean distance (Diamond and Kloeden 1994; Kacprzyk 1997; Chaudhuri and Rosenfeld 1999).
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