Cloud sets as a measure theoretic basis for fuzzy set theory

Mark J. Wierman

doi:10.1109/NAFIPS.2010.5548268

Cloud sets as a measure theoretic basis for fuzzy set theory

Mark J. Wierman

Department of Computer Science, Design & Journalism

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

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	https://doi.org/10.1109/NAFIPS.2010.5548268
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

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All Science Journal Classification (ASJC) codes

Computer Science(all)
Mathematics(all)

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

Wierman, MJ 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, 2010 Annual North American Fuzzy Information Processing Society Conference, NAFIPS'2010, Toronto, ON, Canada, 7/12/10. https://doi.org/10.1109/NAFIPS.2010.5548268

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Access to Document

10.1109/NAFIPS.2010.5548268