Paper Info
Title
The X-mu representation of fuzzy sets — Regaining the excluded middle
Abstract
Fuzzy sets are a good model of the flexible definitions used in human language, but are not always in accordance with human reasoning because they do not satisfy the law of the excluded middle. In this paper, we outline the X-μ approach, a new method of representing, visualizing and calculating functions of fuzzy quantities. Using simple examples, we illustrate that the law of the excluded middle is satisfied with the X-μ approach, although it is not always possible to recover standard membership functions from the results of a calculation.
Year
DOI
Venue
2013
10.1109/UKCI.2013.6651289
Computational Intelligence
Keywords
Field
DocType
fuzzy set theory,X-μ approach,X-mu representation,excluded middle,flexible definition,function calculation,function representation,function visualization,fuzzy quantities,fuzzy sets,human language,human reasoning,membership function,X-mu method,fuzzy excluded middle,fuzzy numbers,fuzzy quantities,gradual elements
Fuzzy classification,Defuzzification,Fuzzy set operations,Fuzzy mathematics,Algorithm,Fuzzy set,Type-2 fuzzy sets and systems,Fuzzy number,Membership function,Calculus,Mathematics
Conference
ISBN
Citations 
PageRank 
978-1-4799-1566-8
2
0.43
References 
Authors
5
1
Name
Order
Citations
PageRank
Trevor P. Martin113426.98