The Extended Sup-Star Composition for Type-2 Fuzzy Sets Made Simple

Robert John, Jerry Mendel, Jenny Carter

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Citations (Scopus)

Abstract

In this paper we introduce embedded type-2 fuzzy relations and provide an alternative proof of the extended sup-star composition that makes use of these embedded type-2 fuzzy relations. The paper commences by giving a background to some terms and definitions used in type-2 fuzzy logic. Definitions are given for a type-2 fuzzy set, a secondary membership function and an embedded set. Additionally the Representation Theorem is described along with an explanation of type-2 fuzzy relations. These preliminary sections provide the basis for the remainder of the paper, which introduces the concept of embedded fuzzy relations and makes use of this in order to provide an alternative proof of the extended sup-star composition.

Original languageEnglish
Title of host publication2006 IEEE International Conference on Fuzzy Systems
PublisherIEEE
Pages1441-1445
Number of pages5
ISBN (Print)0780394887, 9780780394889
DOIs
Publication statusPublished - 11 Sep 2006
Externally publishedYes
EventIEEE International Conference on Fuzzy Systems - Vancouver, Canada
Duration: 16 Jul 200621 Jul 2006

Publication series

Name
ISSN (Print)1098-7584

Conference

ConferenceIEEE International Conference on Fuzzy Systems
Abbreviated titleFUZZ-IEEE-2006
CountryCanada
CityVancouver
Period16/07/0621/07/06

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Cite this

John, R., Mendel, J., & Carter, J. (2006). The Extended Sup-Star Composition for Type-2 Fuzzy Sets Made Simple. In 2006 IEEE International Conference on Fuzzy Systems (pp. 1441-1445). [1681898] IEEE. https://doi.org/10.1109/FUZZY.2006.1681898