INDEX

266. Zadeh, L.A., A Theory of Approximate Reasoning, Machine Intelligence, 9 (1979) 149- 194.

267. Zadeh, L.A., Similarity Relations and Fuzzy Orderings, Inform. Sci., 3 (1971) 177-200.

268. Zhang, W.R., and Chen, S., A Logical Architecture for Cognitive Maps, Proceedings of the 2nd IEEE Conference on Neural Networks (ICNN-88), 1 (1988) 231-238.

269. Zhang, W.R., Chen, S.S., Wang, W., and King. R. S., A Cognitive Map-Based Approach to the Coordination of distributed cooperative agents, IEEE Trans. Systems Man Cybernet, 22 (1992) 103-114.

270. Zimmermann, H.J., Fuzzy Set Theory and its Applications, Kluwer, Boston, 1988.

274

A

Activation model, 177 Acyclic FCM, 238 Acyclic FRM, 170

B

BAM model, 76, 177-8 Bidirectional stability, 179

C

Column subvectors, 17-8 Combined FCM, 239 Combined FRM, 171

D

Diagonal super fuzzy matrix, 158-9 Directed cycle of a FRM, 170 Domain of FRM, 168 DSFRM matrix, 171-2 DSFRM model, 171

E

Edge weights of an FRM, 169

275

F

FAM model, 188-191 FCM model, 236-8 FCM with feed back, 239 Fixed point of FCM, 239 Fixed point of FRM, 170 FRM with feedback, 170 FRM, 168-170 Fuzzy column matrix, 65 Fuzzy matrix, 65 Fuzzy nodes, 169 Fuzzy pseudo symmetric super matrix, 120-3 Fuzzy rectangular matrix, 65-7 Fuzzy row matrix, 65 Fuzzy square matrix, 65-6 Fuzzy submatrices, 80-1 Fuzzy super column vector, 76-7 Fuzzy super rectangular matrix, 98 Fuzzy super row matrix, 75-6 Fuzzy super row vector, 75-6 Fuzzy super special column matrix, 141 Fuzzy super special row matrix, 140 Fuzzy super square matrix, 103 Fuzzy supermatrix, 68, 75 Fuzzy symmetric super square matrix, 103

H

Hidden pattern of a FRM, 170-1 Hidden pattern of FCM, 239

L

Limit cycle of FCM, 239 Limit cycle of FRM, 170-1

276

M

Major product moment of type IV vectors, 58 Major product of type I super vectors, 28-9 Major product of type III vectors, 40 Major product of type IV vectors, 51 Max min function, 69-70 Max min principle, 69-70 Minor product moment of type III row super vectors, 38-9 Minor product moment of type IV column vectors, 45-6, 48 Minor product of two super vectors, 27-8 Minor product of type II super vectors, 35 Minor product of type III column vectors, 39 Minor product of type III super vectors, 36-7 Minor product of type IV vectors, 41

N

Natural order of a supermatrix, 12 Neuron field FX, 177 Neuron FY, 177 Neuron, 177

O

Order of the supermatrix, 8-9

P

Partial triangular matrix as a supermatrix, 16 Partitioning, 10 Pseudo diagonal, 117 Pseudo partition, 128-9 Pseudo symmetric fuzzy matrix, 117-8 Pseudo symmetric supermatrix, 117 Pseudo transpose, 121-126

277