Cloud sets as a measure theoretic basis for fuzzy set theory

Mark J. Wierman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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 languageEnglish
Title of host publication2010 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'2010
DOIs
StatePublished - 2010
Event2010 Annual North American Fuzzy Information Processing Society Conference, NAFIPS'2010 - Toronto, ON, Canada
Duration: Jul 12 2010Jul 14 2010

Other

Other2010 Annual North American Fuzzy Information Processing Society Conference, NAFIPS'2010
CountryCanada
CityToronto, ON
Period7/12/107/14/10

Fingerprint

Fuzzy set theory
Fuzzy Set Theory
Fuzzy sets
Set theory
Algebra
Extension Principle
Set Theory
Fuzzy Sets
Manipulation
Complement
Isomorphic

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

Cloud sets as a measure theoretic basis for fuzzy set theory. / Wierman, Mark J.

2010 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'2010. 2010. 5548268.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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, 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
Wierman MJ. 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. 2010. 5548268 https://doi.org/10.1109/NAFIPS.2010.5548268
Wierman, Mark J. / Cloud sets as a measure theoretic basis for fuzzy set theory. 2010 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'2010. 2010.
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