Probabilistic representation and approximate inference of type-2 fuzzy events in Bayesian networks with interval probability parameters

Expert Systems with Applications

Volumn 36, Issue 4, 2009, Pages 8076-8083

  Liu, Wei Yi ^a   Yue, Kun ^a   Su, Jing Yu ^a   Yao, Yu ^a  

^a YUNNAN UNIVERSITY   (China)

Author keywords

Approximate inference; Bayesian network; Interval probability; Type 2 fuzzy sets

Indexed keywords

DISTRIBUTED PARAMETER NETWORKS; FUZZY INFERENCE; FUZZY SETS; INFERENCE ENGINES; INTELLIGENT NETWORKS; LEARNING ALGORITHMS; PROBABILITY; SPEECH ANALYSIS; SPEECH RECOGNITION;

APPROXIMATE INFERENCE; BAYESIAN NETWORK; CONDITIONAL PROBABILITIES; FUZZY EVENTS; INTERVAL PROBABILITY; PROBABILISTIC DESCRIPTIONS; PROBABILISTIC REPRESENTATIONS; REAL APPLICATIONS; TYPE-2 FUZZY SETS;

BAYESIAN NETWORKS;

EID: 60249091894     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2008.10.044     Document Type: Article

References (24)

1. Buntine W.L. A guide to the literature on learning probabilistic networks from data. IEEE Transactions on Knowledge Data Engineering 8 2 (1996) 195-210
2. Cano A., Gmez M., Moral S., and Abelln J. Hill-climbing and branch-and-bound algorithms for exact and approximate inference in credal networks. International Journal of Approximate Reasoning 44 (2007) 261-280
3. Cano A., and Moral S. Computing probability intervals with simulated annealing and probability trees. Journal of Applied Non-Classical Logics 12 2 (2002) 151-171
4. Cheng, J., Bell, D., Liu, W., (1997). Learning Bayesian network from data: An efficient approach based on information theory. In Proceedings of the sixth ACM conference on information and knowledge management.
5. Cozman F.G. Credal networks. Artificial Intelligence 120 (2000) 199-233
6. Cozman F.G. Graphical models for imprecise probabilities. International Journal of Approximate Reasoning 39 (2005) 167-184
7. Gilbert L., de Cooman G., and Kerre E.E. Practical implementation of possibilistic probability mass functions. Soft Computing 7 (2003) 304-309
8. Heckerman D., and Wellman M.P. Bayesian networks. Communication of ACM 38 3 (1995) 27-30
9. Karnik N.N., and Mendel J.M. Operations on type-2 fuzzy sets. Fuzzy Sets and Systems 122 (2001) 327-348
10. Margaritis, D., Thrun, S. (1999). Bayesian network induction via local neighborhoods. Technical Report, CMU-CS-99-134, Carnegie Mellon University.
11. Mendel J.M. Type-2 fuzzy sets: Some questions and answers (2003), IEE Neural Networks Society
12. Mendel J.M., and John R.I. Type-2 fuzzy sets made simple. IEEE Transactions on Fuzzy Systems 10 (2002) 17-127
13. Mizumoto M., and Tanaka K. Some properties of fuzzy sets of type-2. Information and Control 31 (1976) 312-340
14. Mizumoto M., and Tanaka K. Fuzzy sets of type-2 under algebraic product and algebraic sum. Fuzzy Sets and Systems 5 3 (1981) 277-290
15. Pearl J. Evidential reasoning using stochastic simulation of causal models. International Journal of Artificial Intelligence 32 (1987) 245-257
16. Pearl J. Probabilistic reasoning in intelligent systems: Network of plausible inference (1998), Morgen Kaufmann Publishers Inc., San Mates, California
17. Russell S.J., and Norvig P. Artificial intelligence - A modern approach (2002), Pearson Education Inc. Publishing as Prentice-Hall
18. Tanaka H., Sugihara K., and Maeda Y. Non-additive measures by interval probability functions. Information Sciences 164 (2004) 209-227
19. Tsamardinos, I., Aliferis, C. F., Statnikov, A. (2003). Algorithms for large scale Markov blanket discovery. In Proceedings of the 16th international FLAIRS conference.
20. Walker C.L., and Walker E.A. The algebra of fuzzy truth values. Fuzzy Sets and Systems 199 (2005) 309-347
21. Walley P. Statistical reasoning with imprecise probabilities (1991), Chapman and Hall, London
22. Weichselberger K. The theory of interval probability as unifying concept for uncertainty. International Journal of Approximate Reasoning 24 (2000) 149-170
23. Weichselberger, K., Augustin, T., (2003). On the symbiosis of two concepts of conditional interval probability. In Proceedings of the third international symposium on imprecise probabilities and their applications (pp. 608-629). University of Lugano, Switzerland, 14-17 July.
24. Zadeh L. The concept of a linguistic variable and its application to approximate reasoning-I. Information Sciences 8 (1975) 199-249