Title :
On the computation of the distance between Interval Type-2 Fuzzy numbers using a-cuts
Author :
Figueroa-Garcia, Juan Carlos ; Hernandez-Perez, German
Author_Institution :
Univ. Distrital Francisco Jose de Caldas, Bogota, Colombia
Abstract :
This paper presents a proposal for computing the distance between two Interval Type-2 Fuzzy numbers using its decomposition into a-cuts. This decomposition has been widely used in decision making, computation of a function of fuzzy sets, fuzzy optimization, etc, so the use of a-cuts to compare Interval Type-2 fuzzy numbers arises as an interesting method. In addition, some examples are provided and the comparison of Interval Type-2 fuzzy numbers using their centroids, is discussed.
Keywords :
decision making; fuzzy set theory; α-cuts; decision making; fuzzy optimization; fuzzy set function computation; interval type-2 fuzzy numbers; Decision making; Equations; Fuzzy logic; Fuzzy sets; Optimization; Proposals; Uncertainty; Interval Type-2 Fuzzy Numbers; L1 Hausdorff distance; a-cuts;
Conference_Titel :
Norbert Wiener in the 21st Century (21CW), 2014 IEEE Conference on
Conference_Location :
Boston, MA
DOI :
10.1109/NORBERT.2014.6893860
