Title :
Comment on “Toward General Type-2 Fuzzy Logic Systems Based on zSlices”
Author :
Daoyuan Zhai ; Mendel, Jerry M.
Author_Institution :
Ming Hsieh Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
Wagner and Hagras introduced a novel defuzzification formula in their recent paper and showed that it works very well within the framework of their general type-2 fuzzy logic systems based on zSlices ( α-plane representation). This letter aims to point out the hidden connection between the standard centroid defuzzification formula and Wagner and Hagras´ new defuzzification formula, which leads to the proof of complete equivalence of the two.
Keywords :
fuzzy logic; theorem proving; α-plane representation; centroid defuzzification formula; complete equivalence proof; defuzzification formula; general type-2 fuzzy logic systems; zSlices; Awards activities; Electrical engineering; Equations; Fuzzy logic; Fuzzy sets; Fuzzy systems; Rivers; Centroid; defuzzification; type-2 fuzzy logic system (T2 FLS); zSlices;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2012.2190076
