Interval Type-Two Fuzzy Sets for Defining 'Rich' at a Presidential Forum

摘要

During a presidential forum in the 2008 U.S. 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. Interval type-two fuzzy logic can be used to properly ask and answer Warren's question about quantitatively defining "rich."