A Multiagent Transfer Function Neuroapproach to Solve Fuzzy Riccati Differential Equations

Table 1

Solution of fuzzy Riccati differential equation by various methods for Fuzzy Rule  1.

x	RK-4	Mabood et al. [2]	NM	GMDH	Multiagent NN	Analytical
0	0	0	0	0	0	0
0.1	0.1	0.099668	0.095826	0.024865	0.099668	0.099668
0.2	0.199	0.197376	0.199513	0.055562	0.197375	0.197375
0.3	0.29504	0.291315	0.298841	0.093447	0.291313	0.291313
0.4	0.386335	0.379949	0.391187	0.139876	0.379949	0.379949
0.5	0.47141	0.462092	0.472797	0.19621	0.462121	0.462117
0.6	0.549187	0.53691	0.544233	0.26381	0.537077	0.53705
0.7	0.619026	0.603815	0.606699	0.344037	0.604513	0.604368
0.8	0.680707	0.662245	0.661873	0.438244	0.664640	0.664037
0.9	0.734371	0.711287	0.710854	0.547766	0.718390	0.716298
1	0.780441	0.749123	0.75499	0.673906	0.767899	0.761594
SAE	0.101748	0.019995	0.059152	1.936046	0.009178