Abstract
We first discuss how we plan to produce random triangular (trapezoidal) fuzzy numbers. Then we define quadratic fuzzy numbers and show how we can produce random sequences of these fuzzy numbers using sequences of random vectors of real numbers. Random quadratic fuzzy numbers are used in Chapters 10 and 27. In the last section we consider producing random sequences of fuzzy vectors \(\overline{V}=(\overline{X}_1,...,\overline{X}_n)\) where the \(\overline{X}_i\) are triangular/trapezoidal fuzzy numbers or quadratic fuzzy numbers. These random sequences of fuzzy vectors have applications throughout these chapters; triangular fuzzy numbers (TFNs) in Chapters 11-12, 15-17; trapezoidal fuzzy numbers (TrFNs) in Chapter 13; and QBGFNs (defined below) in Chapters 6-10, 19 and 27. We also abbreviate “fuzzy numbers” as FNs. Trapezoidal shaped fuzzy numbers have applications in Chapters 13, 20-22 and 26.
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