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The construction of general type-2 fuzzy sets | IEEE Conference Publication | IEEE Xplore

The construction of general type-2 fuzzy sets


Abstract:

Focus on constructing of general type-2 fuzzy set, the essence of type-n fuzzy sets are discovered. We first proved the consistency between interval estimation and nested...Show More

Abstract:

Focus on constructing of general type-2 fuzzy set, the essence of type-n fuzzy sets are discovered. We first proved the consistency between interval estimation and nested sets representation theorem of type-1 fuzzy sets, which guarantees the rationality of our methods in this paper. Then, based on the fact that a type-1 fuzzy set can be constructed by a collection of intervals, an algorithm for constructing general type-2 fuzzy sets based on the collections of interval type-2 fuzzy sets was proposed. Furthermore, a new concept, interval type-2 fuzzy sets with uncertain bounds, was defined. And the ways for constructing general type-2 fuzzy sets by give interval type-2 fuzzy sets with uncertain bounds and constructing interval type-2 fuzzy sets with uncertain bounds by given general type-2 fuzzy sets were proposed. Finally, from the viewpoint of uncertain bounds, the essence of type-n fuzzy sets was discussed.
Date of Conference: 13-15 December 2013
Date Added to IEEE Xplore: 17 February 2014
Electronic ISBN:978-1-4799-1282-7
Conference Location: Beijing, China

References

References is not available for this document.