LIU Chang-hong, CHEN Qiu. A Method of Solving the Fuzzy Finite Element Equations in Monosource Fuzzy Numbers[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1147-1150.
Citation:
LIU Chang-hong, CHEN Qiu. A Method of Solving the Fuzzy Finite Element Equations in Monosource Fuzzy Numbers[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1147-1150.
LIU Chang-hong, CHEN Qiu. A Method of Solving the Fuzzy Finite Element Equations in Monosource Fuzzy Numbers[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1147-1150.
Citation:
LIU Chang-hong, CHEN Qiu. A Method of Solving the Fuzzy Finite Element Equations in Monosource Fuzzy Numbers[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1147-1150.
For some cases the rules of monosource fuzzy numbers can be used into the solution of fuzzy stochastic finite element equations in engineering.This method can reduce the computing quantity of the solution.It can be proved that the amount of the solution is nearly as much as that with the general stochastic finite element method(SFEM).In addition,a new method to appreciate the structural fuzzy failure probability is presented for the needs of the modern engineering design.
Isaac Elishakoff.Three versions of the finite element method based on concepts of either stochasticity,fuzziness,or anti-optimization[J].Appl Mech Rev,1998,51(3):209-218.