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Chapter 5: Fuzzy Type-1 and Fuzzy Type-2 Computations

      https://doi.org/10.1142/9789813228948_0005Cited by:0 (Source: Crossref)
      Abstract:

      The following sections are included:

      • Type-1 fuzzy sets and numbers

      • Type-2 fuzzy sets and numbers

      • Arithmetic with continuous type-1 fuzzy numbers

        • Method based on the extension principle

        • Method based on interval arithmetic and α-cuts

      • Arithmetic with discrete type-1 fuzzy numbers

      • Arithmetic of type-2 fuzzy numbers

      • Horizontal membership function based fuzzy arithmetic

      • Adequacy of fuzzy models

      • Fuzzy logic formalization for approximate reasoning