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.
| Original language | English (US) |
|---|---|
| Title of host publication | 2010 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'2010 |
| DOIs | |
| State | Published - Sep 20 2010 |
| Event | 2010 Annual North American Fuzzy Information Processing Society Conference, NAFIPS'2010 - Toronto, ON, Canada Duration: Jul 12 2010 → Jul 14 2010 |
Publication series
| Name | Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS |
|---|
Other
| Other | 2010 Annual North American Fuzzy Information Processing Society Conference, NAFIPS'2010 |
|---|---|
| Country | Canada |
| City | Toronto, ON |
| Period | 7/12/10 → 7/14/10 |
All Science Journal Classification (ASJC) codes
- Computer Science(all)
- Mathematics(all)
Fingerprint Dive into the research topics of 'Cloud sets as a measure theoretic basis for fuzzy set theory'. Together they form a unique fingerprint.
Cite this
Wierman, M. J. (2010). Cloud sets as a measure theoretic basis for fuzzy set theory. In 2010 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'2010 [5548268] (Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS). https://doi.org/10.1109/NAFIPS.2010.5548268