A New Index For Fuzzy Distance Measure

The hesitant fuzzy linguistic term sets (HELTSs), which can be used to represent an expert’s hesitant preferences when assessing a linguistic variable, increase the flexibility of eliciting and representing linguistic information. The HELTSs have attracted a lot of attention recently due to their distinguished power and efficiency in representing uncertainty and vagueness within the process of decision making. To enhance and extend the applicability of HELTSs, in this paper we first review on some fuzzy distance methods, then we present a new fuzzy distance measure based on end points and core, which is far simple, and easier than previous methods. Finally, some numerical examples illustrate the presented method as well as comparing it with other various ones.

Fuzzy distance measure, Trapezoidal fuzzy numbers, Triangular Fuzzy numbers (TFN), Image processing