Title :
A Triangular Type-2 Fuzzy Logic System
Author :
Starczewski, Janusz T.
Author_Institution :
Czestochowa Univ. of Technol., Czestochowa
Abstract :
So far, computational complexity of non-interval type-2 fuzzy logic systems (FLS) has not allowed to make an engineering use of them. This paper provides a new method for complexity reduction to operations on triangular type-2 fuzzy sets. The method for the algebraic product case is validated with the use of an original theorem for calculating extended continuous t-norms for arguments characterized by normal and upper semicontinuous membership functions (MF). A new approximate type-reduction method similar to the Karnik type-2 FLS and its neuro-fuzzy structure is developed. The use of triangular uncertainties in FLS is justified by the example.
Keywords :
computational complexity; fuzzy logic; fuzzy set theory; Karnik type-2 FLS; approximate type-reduction method; computational complexity; extended continuous t-norms; membership functions; neuro-fuzzy structure; triangular type-2 fuzzy logic system; triangular type-2 fuzzy sets; Decision making; Fuzzy logic; Fuzzy sets; Fuzzy systems; Light rail systems; Marine vehicles; Uncertainty;
Conference_Titel :
Fuzzy Systems, 2006 IEEE International Conference on
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-9488-7
DOI :
10.1109/FUZZY.2006.1681901