Type-reduction of the discretised interval type-2 fuzzy set : approaching the continuous case through progressively finer discretisation

• Autorzy: Greenfield S. , Chiclana F.
• Języki publikacji: EN

Abstrakty

EN

The defuzzification of a type-2 fuzzy set is a two stage process consisting of firstly type-reduction, and secondly defuzzification of the resultant type-1 set. This paper considers three approaches to discrete interval type-reduction: 1. The exhaustive method which produces the Type-Reduced Set, 2. the Greenfield-Chiclana Collapsing Defuzzifier which gives rise to the Representative Embedded Set Approximation, and 3. the Nie-Tan Method from which the Nie-Tan Set is derived. In the discrete case these three type-1 sets are distinct. The behavior of the three sets under fine discretisation is investigated experimentally, in order to shed light on the relationships between the continuous versions of these type-1 sets.

Słowa kluczowe

EN

defuzzification; type reduction; exhaustive method; Type-Reduced Set; Greenfield-Chiclana Collapsing Defuzzifier; Representative Embedded Set Approximation; Nie-Tan Method; Nie-Tan Set; discretisation

• Wydawca: University of Social Sciences
• Czasopismo: Journal of Artificial Intelligence and Soft Computing Research
• Rocznik: 2011
• Tom: Vol. 1, No. 3
• Strony: 183--193
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Greenfield S.

• Centre for Computational Intelligence Faculty of Technology, De Montfort University Leicester, LE1 9BH, UK

autor

Chiclana F.

• Centre for Computational Intelligence Faculty of Technology, De Montfort University Leicester, LE1 9BH, UK

Bibliografia

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