TY - GEN
T1 - Cloud sets as a measure theoretic basis for fuzzy set theory
AU - Wierman, Mark J.
PY - 2010/9/20
Y1 - 2010/9/20
N2 - 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.
AB - 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.
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U2 - 10.1109/NAFIPS.2010.5548268
DO - 10.1109/NAFIPS.2010.5548268
M3 - Conference contribution
AN - SCOPUS:77956577546
SN - 9781424478576
T3 - Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS
BT - 2010 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'2010
T2 - 2010 Annual North American Fuzzy Information Processing Society Conference, NAFIPS'2010
Y2 - 12 July 2010 through 14 July 2010
ER -