Title :
Cloud sets as a measure theoretic basis for fuzzy set theory
Author :
Wierman, Mark J.
Author_Institution :
Creighton Univ., Omaha, NE, USA
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;
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
DOI :
10.1109/NAFIPS.2010.5548268
