New Algorithms for Trapezoidal Approximation of Fuzzy Numbers Preserving the Expected Interval

Przemyslaw Grzegorzewski.

Fuzzy number approximation by trapezoidal fuzzy numbers which preserves the expected interval is discussed. New algorithms for calculating the proper approximations are proposed. It is shown that the adequate approximation operator is chosen with respect both to the global spread of a fuzzy number and the size of possible asymmetry between the spread of the left-hand and right-hand part of a fuzzy number.

PDF full paper