Cloud sets as a measure theoretic basis for fuzzy set theory

Mark J. Wierman

doi:10.1109/NAFIPS.2010.5548268

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Conference paper

Cloud sets as a measure theoretic basis for fuzzy set theory

Mark J. Wierman

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, 07/12/2010 - 07/14/2010)

09/20/2010

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

Abstract

Computer Science(all)

Mathematics(all)

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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Title: Cloud sets as a measure theoretic basis for fuzzy set theory
Creators: Mark J. Wierman (Author) - Department of Computer Science, Design & Journalism
Additional links: Ruzyllo, J.; Hattori, T.; Opila, R.L.; Novak, R.E.
Publication Details: 2010 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'2010, 5548268
Conference: 2010 Annual North American Fuzzy Information Processing Society Conference, NAFIPS'2010 (Toronto, ON, Canada, 07/12/2010 - 07/14/2010)
Series: Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS
Identifiers: 991005930579902656
Academic Unit: Computer Science, Design and Journalism
Language: English
Resource Type: Conference paper

Cloud sets as a measure theoretic basis for fuzzy set theory

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