{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T04:03:09Z","timestamp":1725768189082},"publisher-location":"Vienna","reference-count":57,"publisher":"Springer Vienna","isbn-type":[{"type":"print","value":"9783211833261"},{"type":"electronic","value":"9783709125885"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2000]]},"DOI":"10.1007\/978-3-7091-2588-5_3","type":"book-chapter","created":{"date-parts":[[2013,12,29]],"date-time":"2013-12-29T22:09:12Z","timestamp":1388354952000},"page":"51-67","source":"Crossref","is-referenced-by-count":27,"title":["Possibilistic Graphical Models"],"prefix":"10.1007","author":[{"given":"C.","family":"Borgelt","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Gebhardt","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"Kruse","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"3_CR1","unstructured":"S.K. Andersen, K.G. Olesen, F.V. Jensen, and F. Jensen. HUGIN \u2014 A Shell for Building Bayesian Belief Universes for Expert Systems. Proc. 11th Int. J. Conf. on Artificial Intelligence (IJCAI\u201989, Detroit, MI, USA), 1080\u20131085. Morgan Kaufman, San Mateo, CA, USA 1989"},{"key":"3_CR2","volume-title":"Possibilistic Inference and Data Fusion. Proc. 2nd European Congress on Fuzzy and Intelligent Technologies (EUFIT94, Aachen, Germany). 46-47. Verlag Mainz","author":"J Beckmann","year":"1994","unstructured":"J. Beckmann, J. Gebhardt, and R. Kruse. Possibilistic Inference and Data Fusion. Proc. 2nd European Congress on Fuzzy and Intelligent Technologies (EUFIT\u201994, Aachen, Germany). 46\u201347. Verlag Mainz, Aachen, Germany 1994"},{"key":"3_CR3","volume-title":"Evaluation Measures for Learning Probabilistic and Possibilistic Networks. Proc. 6th IEEE Int. Conf. on Fuzzy Systems (FUZZ-IEEE97, Barcelona, Spain), Vol. 2:1034-1038. IEEE Press","author":"C Borgelt","year":"1997","unstructured":"C. Borgelt and R. Kruse. Evaluation Measures for Learning Probabilistic and Possibilistic Networks. Proc. 6th IEEE Int. Conf. on Fuzzy Systems (FUZZ-IEEE\u201997, Barcelona, Spain), Vol. 2:1034\u20131038. IEEE Press, Piscataway, NJ, USA 1997"},{"key":"3_CR4","doi-asserted-by":"crossref","unstructured":"C. Borgelt and R. Kruse. Some Experimental Results on Learning Probabilistic and Possibilistic Networks with Different Evaluation Measures. Proc. 1st Int. J. Conf. on Qualitative and Quantitative Practical Reasoning (ECSQARU\/FAPR\u201997, Bad Honnef, Germany), 71\u201385. Springer, Berlin, Germany 1997","DOI":"10.1007\/BFb0035613"},{"key":"3_CR5","unstructured":"C. Borgelt and R. Kruse. Efficient Maximum Projection of Database-Induced Multivariate Possibility Distributions. Proc. 7th IEEE Int. Conf. on Fuzzy Systems (FUZZ-IEEE\u201998, Anchorage, Alaska, USA), IEEE Press, Piscataway, NJ, USA 1997"},{"key":"3_CR6","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1613\/jair.62","volume":"2","author":"W Buntine","year":"1994","unstructured":"W. Buntine. Operations for Learning Graphical Models. J. of Artificial Intelligence Research 2: 159\u2013224, 1994","journal-title":"J. of Artificial Intelligence Research"},{"key":"3_CR7","volume-title":"Symbolic and Quantitative Approaches to Reasoning and Uncertainty (LNCS 946)","author":"LM Campos","year":"1995","unstructured":"L.M. de Campos, J. Gebhardt, and R. Kruse. Axiomatic Treatment of Possibilistic Independence. In: C. Froidevaux and J. Kohlas, eds. Symbolic and Quantitative Approaches to Reasoning and Uncertainty (LNCS 946), 77\u201388. Springer, Berlin, Germany 1995"},{"key":"3_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-2270-5","volume-title":"Expert Systems and Probabilistic Network Models. Springer","author":"E Castillo","year":"1997","unstructured":"E. Castillo, J.M. Gutierrez, and A.S. Hadi. Expert Systems and Probabilistic Network Models. Springer, New York, NY, USA 1997"},{"issue":"3","key":"3_CR9","first-page":"462","volume":"14","author":"CK Chow","year":"1968","unstructured":"C.K. Chow and C.N. Liu. Approximating Discrete Probability Distributions with Dependence Trees. IEEE Trans. on Information Theory 14 (3): 462\u2013467. IEEE Press, Piscataway, NJ, USA 1968","journal-title":"IEEE Press, Piscataway, NJ, USA"},{"key":"3_CR10","doi-asserted-by":"crossref","unstructured":"G.F. Cooper and E. Herskovits. A Bayesian Method for the Induction of Probabilistic Networks from Data. Machine Learning 9:309\u2013347. Kluwer, Dordrecht, Netherlands 1992","DOI":"10.1007\/BF00994110"},{"key":"3_CR11","unstructured":"R. Dechter. Bucket Elimination: A Unifying Framework for Probabilistic Inference. Proc. 12th Conf. on Uncertainty in Artificial Intelligence (UAI\u201996, Portland, OR, USA), 211\u2013219. Morgan Kaufman, San Mateo, CA, USA 1996"},{"key":"3_CR12","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1214\/aoms\/1177698950","volume":"38","author":"AP Dempster","year":"1967","unstructured":"A.P. Dempster. Upper and Lower Probabilities Induced by a Multivalued Mapping. Ann. Math. Stat. 38: 325\u2013339, 1967","journal-title":"Ann. Math. Stat."},{"key":"3_CR13","doi-asserted-by":"publisher","first-page":"957","DOI":"10.1214\/aoms\/1177698328","volume":"39","author":"AP Dempster","year":"1968","unstructured":"A.P. Dempster. Upper and Lower Probabilities Generated by a Random Closed Interval. Ann. Math. Stat. 39: 957\u2013966, 1968","journal-title":"Ann. Math. Stat."},{"key":"3_CR14","unstructured":"D. Dubois, S. Moral, and H. Prade. A Semantics for Possibility Theory based on Likelihoods. Annual report, CEC\u2014ESPRIT III BRA 6156 DRUMS I I, 1993"},{"key":"3_CR15","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-5287-7","volume-title":"Possibility Theory. Plenum Press","author":"D Dubois","year":"1988","unstructured":"D. Dubois and H. Prade. Possibility Theory. Plenum Press, New York, NY, USA 1988"},{"key":"3_CR16","doi-asserted-by":"crossref","unstructured":"D. Dubois and H. Prade. Fuzzy Sets in Approximate Reasoning, Part 1: Inference with Possibility Distributions. Fuzzy Sets and Systems 40:143\u2013202. North Holland, Amsterdam, Netherlands 1991","DOI":"10.1016\/0165-0114(91)90050-Z"},{"volume-title":"Readings in Fuzzy Sets for Intelligent Systems","year":"1993","key":"3_CR17","unstructured":"D. Dubois, H. Prade, and R.R. Yager, eds. Readings in Fuzzy Sets for Intelligent Systems. Morgan Kaufman, San Mateo, CA, USA 1993"},{"key":"3_CR18","volume-title":"Learning from Data: Possibilistic Graphical Models. Habilitation Thesis","author":"J Gebhardt","year":"1997","unstructured":"J. Gebhardt. Learning from Data: Possibilistic Graphical Models. Habilitation Thesis, University of Braunschweig, Germany 1997"},{"key":"3_CR19","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1007\/BFb0028195","volume-title":"Symbolic and Quantitative Approaches to Reasoning and Uncertainty (LNCS 747)","author":"J Gebhardt","year":"1993","unstructured":"J. Gebhardt and R. Kruse. A New Approach to Semantic Aspects of Possibilistic Reasoning. In: M. Clarke, S. Moral, and R. Kruse, eds. Symbolic and Quantitative Approaches to Reasoning and Uncertainty (LNCS 747), 151\u2013159. Springer, Berlin, Germany 1993"},{"key":"3_CR20","volume-title":"Proc. 3rd IEEE Int. Conf. on Fuzzy Systems (FUZZ-IEEE94, Orlando, FL, USA)","author":"J Gebhardt","year":"1994","unstructured":"J. Gebhardt and R. Kruse. On an Information Compression View of Possibility Theory. Proc. 3rd IEEE Int. Conf. on Fuzzy Systems (FUZZ-IEEE\u201994, Orlando, FL, USA), 1285\u20131288. IEEE Press, Picataway, NJ, USA 1994"},{"key":"3_CR21","first-page":"407","volume-title":"Fuzzy Set Methods in Information Engineering: A Guided Tour of Applications","author":"J Gebhardt","year":"1996","unstructured":"J. Gebhardt and R. Kruse. POSSINFER \u2014 A Software Tool for Possibilistic Inference. In: D. Dubois, H. Prade, and R. Yager, eds. Fuzzy Set Methods in Information Engineering: A Guided Tour of Applications, 407\u2013418. J. Wiley Sons, New York, NY, USA 1996"},{"key":"3_CR22","volume-title":"Proc. Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU96)","author":"J Gebhardt","year":"1996","unstructured":"J. Gebhardt and R. Kruse. Tightest Hypertree Decompositions of Multivariate Possibility Distributions. Proc. Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU\u201996), 923\u2013927. Granada, Spain 1996"},{"issue":"3","key":"3_CR23","first-page":"101","volume":"6","author":"J Gebhardt","year":"1996","unstructured":"J. Gebhardt and R. Kruse. Automated Construction of Possibilistic Networks from Data. J. of Applied Mathematics and Computer Science, 6 (3): 101\u2013136, 1996","journal-title":"J. of Applied Mathematics and Computer Science"},{"key":"3_CR24","doi-asserted-by":"crossref","unstructured":"D. Geiger, T.S. Verma, and J. Pearl. Identifying Independence in Bayesian Networks. Networks 20:507\u2013534. J. Wiley Sons, Chichester, England, 1990","DOI":"10.1002\/net.3230200504"},{"key":"3_CR25","doi-asserted-by":"publisher","first-page":"535","DOI":"10.1002\/j.1538-7305.1928.tb01236.x","volume":"7","author":"RVL Hartley","year":"1928","unstructured":"R.V.L. Hartley. Transmission of Information. The Bell Systems Technical Journal 7: 535\u2013563, 1928","journal-title":"The Bell Systems Technical Journal"},{"key":"3_CR26","unstructured":"D. Heckerman, D. Geiger, and D.M. Chickering. Learning Bayesian Networks: The Combination of Knowledge and Statistical Data. Machine Learning 20:197\u2013243, Kluwer, Dordrecht, Netherlands, 1995"},{"key":"3_CR27","first-page":"209","volume-title":"Conditional Logic in Expert Systems","author":"K Hestir","year":"1991","unstructured":"K. Hestir, H.T. Nguyen, and G.S. Rogers. A Random Set Formalism for Evidential Reasoning. In: I.R. Goodman, M.M. Gupta, H.T. Nguyen, and G.S. Rogers, eds. Conditional Logic in Expert Systems, 209\u2013344. North-Holland, Amsterdam, Netherlands 1991"},{"key":"3_CR28","doi-asserted-by":"crossref","unstructured":"E. Hisdal. Conditional Possibilities, Independence, and Noninteraction. Fuzzy Sets and Systems 1:283\u2013297. North Holland, Amsterdam, Netherlands 1978","DOI":"10.1016\/0165-0114(78)90019-2"},{"key":"3_CR29","doi-asserted-by":"crossref","unstructured":"V. Isham.,An Introduction to Spatial Point Processes and Markov Random Fields. Int. Statistics Review 49: 21\u201343, 1981","DOI":"10.2307\/1403035"},{"key":"3_CR30","doi-asserted-by":"crossref","unstructured":"F. Klawonn, J. Gebhardt, and R. Kruse. Fuzzy Control on the Basis of Equality Relations with an Example from Idle Speed Control. IEEE Transactions on Fuzzy Systems 3:336\u2013350. IEEE Press, Piscataway, NJ, USA 1995","DOI":"10.1109\/91.413237"},{"key":"3_CR31","doi-asserted-by":"crossref","unstructured":"R. Kruse, J. Gebhardt, and F. Klawonn. Foundations of Fuzzy Systems. J. Wiley Sons, Chichester, England 1994","DOI":"10.1007\/978-3-322-86784-1"},{"key":"3_CR32","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-76702-9","volume-title":"Uncertainty and Vagueness in Knowledge Based Systems: Numerical Methods. Springer","author":"R Kruse","year":"1991","unstructured":"R. Kruse, E. Schwecke, and J. Heinsohn. Uncertainty and Vagueness in Knowledge Based Systems: Numerical Methods. Springer, Berlin, Germany 1991"},{"issue":"50","key":"3_CR33","first-page":"157","volume":"2","author":"SL Lauritzen","year":"1988","unstructured":"S.L. Lauritzen and D.J. Spiegelhalter. Local Computations with Probabilities on Graphical Structures and Their Application to Expert Systems. Journal of the Royal Statistical Society, Series B 2 (50): 157\u2013224. Blackwell, Oxford, United Kingdom 1988","journal-title":"Blackwell, Oxford, United Kingdom"},{"key":"3_CR34","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1016\/0020-0255(84)90052-5","volume":"34","author":"HT Nguyen","year":"1984","unstructured":"H.T. Nguyen. Using Random Sets. Information Science 34: 265\u2013274, 1984","journal-title":"Information Science"},{"key":"3_CR35","volume-title":"Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference (2nd edition). Morgan Kaufmann","author":"J Pearl","year":"1992","unstructured":"J. Pearl. Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference (2nd edition). Morgan Kaufmann, San Mateo, CA, USA 1992"},{"key":"3_CR36","first-page":"357","volume-title":"Advances in Artificial Intelligence","author":"J Pearl","year":"1991","unstructured":"J. Pearl and A. Paz. Graphoids \u2014 A Graph Based Logic for Reasoning about Relevance Relations. In: B.D. Boulay et al., eds. Advances in Artificial Intelligence 2, 357\u2013363. North-Holland, Amsterdam, Netherlands 1991"},{"key":"3_CR37","volume-title":"Dina Research Report","author":"LK Rasmussen","year":"1992","unstructured":"L.K. Rasmussen. Blood Group Determination of Danish Jersey Cattle in the F-blood Group System. Dina Research Report 8, Dina Foulum, Tjele, Denmark 1992"},{"key":"3_CR38","first-page":"387","volume":"3","author":"EH Ruspini","year":"1989","unstructured":"E.H. Ruspini. The Semantics of Vague Knowledge. Rev. Internat. Systemique 3: 387\u2013420, 1989","journal-title":"Rev. Internat. Systemique"},{"key":"3_CR39","volume-title":"Proc. 3rd Int. Conf. on Information Processing and Management of Uncertainty in Knowledge Based Systems (IPMU96)","author":"EH Ruspini","year":"1990","unstructured":"E.H. Ruspini. Similarity Based Models for Possibilistic Logics. Proc. 3rd Int. Conf. on Information Processing and Management of Uncertainty in Knowledge Based Systems (IPMU\u201996), 56\u201358. Granada, Spain 1990"},{"key":"3_CR40","volume-title":"Int. J. of Approximate Reasoning","author":"EH Ruspini","year":"1991","unstructured":"E.H. Ruspini. On the Semantics of Fuzzy Logic. Int. J. of Approximate Reasoning 5. North-Holland, Amsterdam, Netherlands 1991"},{"key":"3_CR41","volume-title":"Proc. 7th Conf. on Uncertainty in Artificial Intelligence (UAI91, Los Angeles, CA, USA)","author":"A Saffiotti","year":"1991","unstructured":"A. Saffiotti and E. Umkehrer. PULCINELLA: A General Tool for Propagating Uncertainty in Valuation Networks. Proc. 7th Conf. on Uncertainty in Artificial Intelligence (UAI\u201991, Los Angeles, CA, USA), 323\u2013331. Morgan Kaufman, San Mateo, CA, USA 1991"},{"key":"3_CR42","unstructured":"G. Shafer. A Mathematical Theory of Evidence. Princeton University Press, Princeton, NJ, USA 1976"},{"key":"3_CR43","volume-title":"Readings in Uncertain Reasoning. Morgan Kaufman","author":"G Shafer","year":"1990","unstructured":"G. Shafer and J. Pearl. Readings in Uncertain Reasoning. Morgan Kaufman, San Mateo, CA, USA 1990"},{"key":"3_CR44","volume-title":"Local Computations in Hypertrees (Working Paper 201). School of Business, University of Kansas","author":"G Shafer","year":"1988","unstructured":"G. Shafer and P.P. Shenoy. Local Computations in Hypertrees (Working Paper 201). School of Business, University of Kansas, Lawrence, KS, USA 1988"},{"key":"3_CR45","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1002\/j.1538-7305.1948.tb01338.x","volume":"27","author":"CE Shannon","year":"1948","unstructured":"C.E. Shannon. The Mathematical Theory of Communication. The Bell Systems Technical Journal 27: 379\u2013423. 1948","journal-title":"The Bell Systems Technical Journal"},{"key":"3_CR46","doi-asserted-by":"crossref","unstructured":"P.P. Shenoy. A Valuation-based Language for Expert Systems. Int. J. of Approximate Reasoning 3:383\u2013411. North-Holland, Amsterdam, Netherlands 1989","DOI":"10.1016\/0888-613X(89)90009-1"},{"key":"3_CR47","volume-title":"Proc. 9th Conf. on Uncertainty in AI (UAI93)","author":"PP Shenoy","year":"1993","unstructured":"P.P. Shenoy. Valuation Networks and Conditional Independence. Proc. 9th Conf. on Uncertainty in AI (UAI\u201993), 191\u2013199. Morgan Kaufman, San Mateo, CA, USA 1993"},{"key":"3_CR48","doi-asserted-by":"crossref","unstructured":"P.P. Shenoy and G.R. Shafer. Axioms for Probability and Belief-Function Propagation. In: R.D. Shachter, T.S. Levitt, L.N. Kanal, and J.F. Lemmer. Uncertainty in Artificial Intelligence 4, 169\u2013198. North Holland, Amsterdam, Netherlands 1990","DOI":"10.1016\/B978-0-444-88650-7.50019-6"},{"key":"3_CR49","doi-asserted-by":"crossref","unstructured":"P. Smets and R. Kennes. The Transferable Belief Model. Artificial Intelligence 66:191\u2013234. Elsevier, Amsterdam, Netherlands 1994","DOI":"10.1016\/0004-3702(94)90026-4"},{"issue":"3","key":"3_CR50","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1214\/ss\/1177010888","volume":"8","author":"D Spiegelhalter","year":"1993","unstructured":"D. Spiegelhalter, A. Dawid, S. Lauritzen, and R. Cowell. Bayesian Analysis in Expert Systems. Statistical Science 8 (3): 219\u2013283, 1993","journal-title":"Statistical Science"},{"key":"3_CR51","volume-title":"Proc. 8th Conf. on Uncertainty in Artificial Intelligence (UAI92, Stanford, CA, USA)","author":"TS Verma","year":"1992","unstructured":"T.S. Verma and J. Pearl. An Algorithm for Deciding if a Set of Observed Independencies has a Causal Explanation. Proc. 8th Conf. on Uncertainty in Artificial Intelligence (UAI\u201992, Stanford, CA, USA), 323\u2013330. Morgan Kaufman, San Mateo, CA, USA 1992"},{"key":"3_CR52","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-3472-7","volume-title":"Statistical Reasoning with Imprecise Probabilities. Chapman Hall","author":"P Walley","year":"1991","unstructured":"P. Walley. Statistical Reasoning with Imprecise Probabilities. Chapman Hall, New York, NY, USA 1991"},{"key":"3_CR53","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1007\/978-1-4613-3754-6","volume-title":"Advances in Fuzzy Sets, Possibility and Applications","author":"PZ Wang","year":"1983","unstructured":"P.Z. Wang. From the Fuzzy Statistics to the Falling Random Subsets. In: P.P. Wang, ed. Advances in Fuzzy Sets, Possibility and Applications, 81\u201396. Plenum Press, New York, NY, USA 1983"},{"key":"3_CR54","volume-title":"Graphical Models in Applied Multivariate Statistics. J. Wiley Sons","author":"J Whittaker","year":"1990","unstructured":"J. Whittaker. Graphical Models in Applied Multivariate Statistics. J. Wiley Sons, Chichester, England 1990"},{"key":"3_CR55","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/0020-0255(75)90017-1","volume":"9","author":"LA Zadeh","year":"1975","unstructured":"L.A. Zadeh. The Concept of a Linguistic Variable and Its Application to Approximate Reasoning. Information Sciences 9: 43\u201380, 1975","journal-title":"Information Sciences"},{"key":"3_CR56","doi-asserted-by":"crossref","unstructured":"L.A. Zadeh. Fuzzy Sets as a Basis for a Theory of Possibility. Fuzzy Sets and Systems 1:3\u201328. North-Holland, Amsterdam, Netherlands 1978","DOI":"10.1016\/0165-0114(78)90029-5"},{"key":"3_CR57","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1613\/jair.305","volume":"5","author":"NL Zhang","year":"1996","unstructured":"N.L. Zhang and D. Poole. Exploiting Causal Independence in Bayesian Network Inference. Journal of Artificial Intelligence Research 5: 301\u2013328, 1996","journal-title":"Journal of Artificial Intelligence Research"}],"container-title":["Computational Intelligence in Data Mining"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-7091-2588-5_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,20]],"date-time":"2022-03-20T23:37:53Z","timestamp":1647819473000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-7091-2588-5_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000]]},"ISBN":["9783211833261","9783709125885"],"references-count":57,"URL":"https:\/\/doi.org\/10.1007\/978-3-7091-2588-5_3","relation":{},"subject":[],"published":{"date-parts":[[2000]]}}}