From ordered beliefs to numbers: How to elicit numbers without asking for them (doable but computationally difficult)

One of the most important parts of designing an expert system is elicitation of the expert’s knowledge. This knowledge usually consists of facts and rules. Eliciting these rules and facts is relatively easy, the more complicated task is assigning weights (numerical or interval-valued degrees of belief) to different statements from the knowledge base. Expert

[1]  David S. Johnson,et al.  Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .

[2]  Christoph F. Eick,et al.  Decision making involving imperfect knowledge , 1993, IEEE Trans. Syst. Man Cybern..

[3]  Hung T. Nguyen,et al.  Maximum Entropy (Maxent) Method in Expert Systems and Intelligent Control: New Possibilities and Limitations , 1996 .

[4]  Hung T. Nguyen,et al.  A First Course in Fuzzy Logic , 1996 .

[5]  Narendra Karmarkar,et al.  A new polynomial-time algorithm for linear programming , 1984, STOC '84.

[6]  J. Kacprzyk,et al.  Advances in the Dempster-Shafer theory of evidence , 1994 .

[7]  Didier Dubois,et al.  Possibility Theory - An Approach to Computerized Processing of Uncertainty , 1988 .

[8]  Vladik Kreinovich,et al.  Towards theoretical foundations of soft computing applications , 1995, Proceedings the 11th Conference on Artificial Intelligence for Applications.

[9]  Narendra Karmarkar,et al.  A new polynomial-time algorithm for linear programming , 1984, Comb..

[10]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems , 1988 .

[11]  George J. Klir,et al.  Fuzzy sets and fuzzy logic - theory and applications , 1995 .

[12]  Glenn Shafer,et al.  Readings in Uncertain Reasoning , 1990 .

[13]  B. Bouchon-Meunier,et al.  Competitive learning of possibility distributions , 1994, Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference.

[14]  Leticia S. Chee.  Computing the Value of a Boolean Expression with Interval Inputs is NP-Hard , 1997, Reliab. Comput..

[15]  Craig Boutilier,et al.  Conditional Logics of Normality: A Modal Approach , 1994, Artif. Intell..

[16]  Vladik Kreinovich,et al.  Maximum Entropy Approach to Fuzzy Control , 1994, Inf. Sci..