Type-2 fuzzy sets as functions on spaces

Authors:
Janet Aisbett;John T. Rickard;David G. Morgenthaler
Affiliations:
University of Newcastle, Callaghan, NSW, Australia;Distributed Infinity, Inc., Larkspur, CO;Integrated Systems and Global Solutions, Lockheed Martin Corporation, Littleton, CO
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2010

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Abstract

For many readers and potential authors, type-2 (T2) fuzzy sets might be more readily understood if expressed by the use of standard mathematical notation and terminology. This paper, therefore, translates constructs associated with T2 fuzzy sets to the language of functions on spaces. Such translations may encourage researchers in different disciplines to investigate T2 fuzzy sets, thereby potentially broadening their application and strengthening the underlying theory.