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Comment on “Toward General Type-2 Fuzzy Logic Systems Based on zSlices”

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2 Author(s)
Daoyuan Zhai ; Ming Hsieh Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA ; Mendel, J.M.

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.

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Fuzzy Systems, IEEE Transactions on  (Volume:20 ,  Issue: 5 )