Algorithms for Trapezoidal Approximations of Fuzzy Numbers Preserving the Expected Interval

摘要

Fuzzy number approximation by trapezoidal fuzzy numbers which pre-serves 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.