Article ID Journal Published Year Pages File Type
389491 Fuzzy Sets and Systems 2015 12 Pages PDF
Abstract

An alternative look on fuzzy numbers based on two random variables and their summation and multiplication is introduced. This approach to summation covers the standard Zadeh's extension principle and triangular norm-based approach, however, it is more general. We illustrate it on some examples. Moreover, copula-based summation preserving the class of triangular (trapezoidal) fuzzy numbers is discussed.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence
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