Title :
Matching general type-2 fuzzy sets by comparing the vertical slices
Author :
Rizzi, Antonello ; Livi, Lorenzo ; Tahayori, Hooman ; Sadeghian, Alireza
Author_Institution :
Dept. of Inf. Eng., Electron., & Telecommun., SAPIENZA Univ. of Rome, Rome, Italy
Abstract :
In this paper, we propose a procedure for computing the dissimilarity measure of finite general type-2 fuzzy sets, represented as sequences of vertical slices. Through representing general type-2 fuzzy sets as a sequence of objects, we compute their overall dissimilarity value using suited matching algorithms for generalized sequences. The evaluation of the proposed matching algorithm is performed in the setting of classification, by defining datasets of general type-2 fuzzy sets conceived as labeled patterns. Experimental results show that the matching methodology is robust, accurate, and computationally acceptable.
Keywords :
fuzzy set theory; pattern classification; pattern matching; sequences; classification setting; dissimilarity measure computation; finite general type-2 fuzzy set matching algorithm; generalized object sequence; labeled patterns; overall dissimilarity value computation; vertical slices; Accuracy; Algorithm design and analysis; Equations; Fuzzy sets; Mathematical model; Noise; Uncertainty; General type-2 fuzzy sets; Sequence matching and classification; Similarity and dissimilarity measures;
Conference_Titel :
IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
Conference_Location :
Edmonton, AB
DOI :
10.1109/IFSA-NAFIPS.2013.6608514