POSSIBILITY;
PROBABILITY;
NECESSITY;
FUZZY NUMBER;
TRIANGULAR NORM;
LAW OF LARGE NUMBERS;
SEQUENCE OF FUZZY NUMBERS;
CONVERGENCE THEOREM;
D O I:
10.1016/0165-0114(92)90147-V
中图分类号:
TP301 [理论、方法];
学科分类号:
081202 ;
摘要:
We study the problem: xi-1, xi-2,... are fuzzy numbers with modal values M1, M2,..., then what is the strongest t-norm for which for any epsilon > 0 where m(n) = (M1 +...+ M(n))/n, the arithmetic mean (xi-1 + ... + xi(n))/n is defined via sup-t-norm convolution and Nes denotes necessity.
机构:
Moscow MV Lomonosov State Univ, Dept Probabil Theory, Fac Mech & Math, Moscow 119991, RussiaMoscow MV Lomonosov State Univ, Dept Probabil Theory, Fac Mech & Math, Moscow 119991, Russia