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Advances in Fuzzy Systems
Volume 2012 (2012), Article ID 319718, 6 pages
Research Article

Warren, McCain, and Obama Needed Fuzzy Sets at Presidential Forum

Maverick Technologies America Inc., Suite 808, 1220 North Market Street, Wilmington, DE 19801, USA

Received 26 March 2012; Accepted 8 April 2012

Academic Editor: Madan M. Gupta

Copyright © 2012 Ashu M. G. Solo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


During a presidential forum in the 2008 US presidential campaign, the moderator, Pastor Rick Warren, wanted Senator John McCain and then-Senator Barack Obama to define rich with a specific number. Warren wanted to know at what specific income level a person goes from being not rich to rich. The problem with this question is that there is no specific income at which a person makes the leap from being not rich to being rich. This is because rich is a fuzzy set, not a crisp set, with different incomes having different degrees of membership in the rich fuzzy set. Fuzzy logic is needed to properly ask and answer Warren's question about quantitatively defining rich. An imprecise natural language word like rich should be considered to have qualitative definitions, crisp quantitative definitions, and fuzzy quantitative definitions.