Fuzzy Distance between Fuzzy Values

A new attitude coupled with the basic fuzzy thinking to distance between two fuzzy numbers

Fuzzy measures are suitable in analyzing human subjective evaluation processes. Several different strategies have been proposed for distance of fuzzy numbers. The distances introduced for fuzzy numbers can be categorized in two groups:\1. The crisp distances which explain crisp values for the distance between two fuzzy numbers.\2. The fuzzy distance which introduce a fuzzy distance for normal f...

Distance calculation between Level-2 fuzzy regions

In many applications, spatial data often are prone to uncertainty and imprecision. To model this, fuzzy regions have been developed. Our initial model was a fuzzy set over a two dimensional domain, allowing for fuzzy regions and fuzzy points to be modelled. The model had some limitations: all points where treated independently, and it was not possible to group points together. Furthermore, it d...

Selecting Parameter Values for Mahalanobis Distance Fuzzy Classifiers

Fuzzy Descriptions Logics with Fuzzy Truth Values

Fuzzy Description Logics are a family of logics which allow to deal with structured knowledge affected by vagueness. Although a relatively important amount of work has been carried out in the last years, current fuzzy DLs are open to be extend with several features worked out in the fuzzy logic literature. In this work, we extend fuzzy DLs with fuzzy truth values, allowing to state sentences su...

Fuzzy Distance of Trapezoidal Fuzzy Numbers

Fuzzy distance is applied on data analysis, classification, and product positioning analysis widely. In this paper, We introduce a fuzzy distance by using graded mean integration representation of generalized fuzzy number and the span of fuzzy number, We also discuss the distance of the linguistic data of “greater or less than x” and “about x”. It is reasonable to say “the fuzzy distance of abo...