Similarity Measure Construction Using Fuzzy Entropy and Distance Measure

Relation between Certainty and Uncertainty with Fuzzy Entropy and Similarity Measure

“…This similarity measure is exactly same with (2). At this point, we verified the one-to-one relation of distance measure and similarity measure.…”

“…A view point of data analysis among data groups with similarity and dissimilarity measure has been emphasized on the design distance measure and similarity measure [1,2]. When information analysis of two scattered data group is carrying on, then the scattered data groups can be considered by fuzzy set.…”

“…similarity to the deterministic one. Hence fuzzy entropy and similarity measure are both used for the quantifying uncertainty and similarity measure of data [1,2]. Data uncertainty and certainty are usually expressed through probability point of view, probability of event denotes, which lies within.…”

Study on Entropy and Similarity Measure for Fuzzy Set

“…Thus far, numerous researchers have carried out research on deriving similarity measures [11]- [14]. Methods based on fuzzy numbers enable the simple derivation of similarity measures.…”

“…However, derived similarity measures are restricted to triangular or trapezoidal membership functions [11], [12]. In contrast, similarity measures based on the distance measure are applicable to general fuzzy membership functions, including nonconvex fuzzy membership functions [13], [14]. The correlation between entropy and similarity for fuzzy sets has been presented from various viewpoints [15].…”