Approximated Type-2 Fuzzy Set Operations | IEEE Conference Publication | IEEE Xplore

Approximated Type-2 Fuzzy Set Operations


Abstract:

Type-2 fuzzy sets, an elaboration over type-1 fuzzy sets, are an interesting method for handling uncertainty in rules and parameters in fuzzy systems. However, their adop...Show More

Abstract:

Type-2 fuzzy sets, an elaboration over type-1 fuzzy sets, are an interesting method for handling uncertainty in rules and parameters in fuzzy systems. However, their adoption has not been as wide as one could have expected. In this paper we provide a simple introduction to type-2 fuzzy sets; then we propose a novel method for calculating operations on type-2 fuzzy sets with normal type-1 membership values, for which we redefine set ordering. Finally, based on the max ordering of fuzzy set and highest degree of separation, we propose an approximation for performing the operations, which ensures that the calculation is accurate for the most important parts of the membership values.
Date of Conference: 16-21 July 2006
Date Added to IEEE Xplore: 11 September 2006
Print ISBN:0-7803-9488-7
Print ISSN: 1098-7584
Conference Location: Vancouver, BC, Canada

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