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Interval Type-Two Fuzzy Logic for Quantitatively Defining Imprecise Linguistic Terms in Politics and Public Policy
Abstract
The previous chapter describes the use of type-one fuzzy logic for quantitatively defining imprecise linguistic terms in politics and public policy. This chapter shows the use of interval type-two fuzzy logic for this purpose and the advantages and disadvantages of using interval type-two fuzzy logic instead of type-one fuzzy logic for this purpose. Interval type-two fuzzy sets can be used to properly ask and answer queries about quantitatively defining imprecise linguistic terms in politics and public policy like “rich,” “middle class,” “poor,” “low inflation,” “medium inflation,” and “high inflation.” Imprecise terms like these in natural languages should be considered to have “qualitative definitions,” “quantitative definitions,” “crisp quantitative definitions,” “fuzzy quantitative definitions,” “type-one fuzzy quantitative definitions,” and “interval type-two fuzzy quantitative definitions.”
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