The collapsing method of defuzzification for discretised interval type-2 fuzzy sets

نویسندگان

  • Sarah Greenfield
  • Francisco Chiclana
  • Simon Coupland
  • Robert Ivor John
چکیده

Defuzzification of type-2 fuzzy sets is a computationally intense problem. This paper proposes a new approach for defuzzification of interval type-2 fuzzy sets. The collapsing method converts an interval type-2 fuzzy set into a representative embedded set (RES) which, being a type-1 set, can then be defuzzified straightforwardly. The novel Representative Embedded Set Theorem (REST), with which the method is inextricably linked, is expounded, stated and proved within this paper. Additionally the Pseudo Representative Embedded Set (PRES), a useful and easily calculated approximation to the RES, is discussed.

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عنوان ژورنال:
  • Inf. Sci.

دوره 179  شماره 

صفحات  -

تاریخ انتشار 2009