Title :
Measures of uncertainty for type-2 fuzzy sets
Author :
Hamrawi, Hussam ; Coupland, Simon
Author_Institution :
Center for Comput. Intell., De Montfort Univ., Leicester, UK
Abstract :
The Extension Principle based on alpha-cuts plays a pivotal role in many applications of type-1 fuzzy sets. We recently defined an alpha-based extension principle for type-2 fuzzy sets. In this paper we investigate the use of the alpha-extension principle to define uncertainty measures for type-2 fuzzy sets. We investigate cardinality, similarity, and subsethood for type-2 fuzzy sets and demonstrate when the alpha-plane representation can be used.
Keywords :
fuzzy set theory; alpha-based extension principle; alpha-plane representation; type-1 fuzzy sets; type-2 fuzzy sets; uncertainty measurement; Equations; Fuzzy logic; Fuzzy sets; Indexes; Measurement uncertainty; Semantics; Uncertainty;
Conference_Titel :
Computational Intelligence (UKCI), 2010 UK Workshop on
Conference_Location :
Colchester
Print_ISBN :
978-1-4244-8774-5
Electronic_ISBN :
978-1-4244-8773-8
DOI :
10.1109/UKCI.2010.5625592
