DocumentCode
3531539
Title
Cloud sets as a measure theoretic basis for fuzzy set theory
Author
Wierman, Mark J.
Author_Institution
Creighton Univ., Omaha, NE, USA
fYear
2010
fDate
12-14 July 2010
Firstpage
1
Lastpage
5
Abstract
The theory of Cloud sets is presented and standard techniques of set theory allow for the development of a rich algebra of cloud sets. When measures are added we can introduce the Cloud complement and show that Cloud Sets are isomorphic to fuzzy sets. However, the fundamental manipulations, techniques, and definitions are simpler and more amenable to analysis. For example, the extension principle is easy to define.
Keywords
fuzzy set theory; probability; algebra; cloud complement; cloud sets; fundamental manipulations; fuzzy set theory; Algebra; Clouds; Fuzzy set theory; Fuzzy sets; Lattices; Measurement standards; Probability; Random variables; Set theory; Standards development; Cloud Set theory; extension principle; fuzzy set theory; lattice;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Information Processing Society (NAFIPS), 2010 Annual Meeting of the North American
Conference_Location
Toronto, ON
Print_ISBN
978-1-4244-7859-0
Electronic_ISBN
978-1-4244-7857-6
Type
conf
DOI
10.1109/NAFIPS.2010.5548268
Filename
5548268
Link To Document