TY - GEN
T1 - The equivalence of cognitive map, fuzzy cognitive map and multi value fuzzy cognitive map
AU - Miao, Yuan
AU - Tao, XueHong
AU - Shen, ZhiQi
AU - Liu, ZhiQiang
AU - Miao, ChunYan
N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].
PY - 2006
Y1 - 2006
N2 - Cognitive Map (CM), Fuzzy Cognitive Map (FCM) are two related tools for modeling human being's cognition and facilitating machine deduction over the cognitive model accordingly. FCM has extended CM by modeling the strength of the causal relationship. To acquire the ability of modeling the strength of cause and effect, Multi-Value FCM (MVFCM) is formally presented in this paper, which uses mutli-value concepts. Not surprisingly, FCM is more complex than CM and MVFCM is more complex than FCM. This paper proves that there exists a theoretical equivalence among MVFCM, FCM and CM. It shows that for every MVFCM, there exists a FCM, or a CM that represents the MVFCM. This result allows domain experts to model applications with more descriptive MVFCM form and perform theoretical analysis with the simpler CM form. The equivalence among the models also provides strong support to the theoretical analysis of the models and flexibility to their applications. © 2006 IEEE.
AB - Cognitive Map (CM), Fuzzy Cognitive Map (FCM) are two related tools for modeling human being's cognition and facilitating machine deduction over the cognitive model accordingly. FCM has extended CM by modeling the strength of the causal relationship. To acquire the ability of modeling the strength of cause and effect, Multi-Value FCM (MVFCM) is formally presented in this paper, which uses mutli-value concepts. Not surprisingly, FCM is more complex than CM and MVFCM is more complex than FCM. This paper proves that there exists a theoretical equivalence among MVFCM, FCM and CM. It shows that for every MVFCM, there exists a FCM, or a CM that represents the MVFCM. This result allows domain experts to model applications with more descriptive MVFCM form and perform theoretical analysis with the simpler CM form. The equivalence among the models also provides strong support to the theoretical analysis of the models and flexibility to their applications. © 2006 IEEE.
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U2 - 10.1109/FUZZY.2006.1681960
DO - 10.1109/FUZZY.2006.1681960
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 0780394887
SN - 9780780394889
T3 - IEEE International Conference on Fuzzy Systems
SP - 1872
EP - 1878
BT - 2006 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2006
PB - IEEE
T2 - 2006 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2006
Y2 - 16 July 2006 through 21 July 2006
ER -