A knowledge processing method for intelligent systems based on inclusion degree

: The probability reasoning method, fuzzy reasoning method, evidential reasoning method and other reasoning methods are main techniques employed in intelligent systems for processing uncertain and vague information. The concept of inclusion degree was proposed earlier and it has been proved that the methods mentioned above are examples of inclusion degrees. In this paper, we introduce type S1 and type S2 inclusion degrees, discuss the relationship between them, and further propose inclusion degrees on interval numbers, divisions, vectors and set vectors. This paper addresses an uncertainty analysis method with different inclusion degrees for intelligent systems and other systems such as fuzzy relational databases.

[1]  L. Zadeh,et al.  Fuzzy Logic for the Management of Uncertainty , 1992 .

[2]  Richard E. Neapolitan,et al.  Probabilistic reasoning in expert systems - theory and algorithms , 2012 .

[3]  D. A. Bell,et al.  Rough Computational Methods for Information , 1998, Artif. Intell..

[4]  Janusz Zalewski,et al.  Rough sets: Theoretical aspects of reasoning about data , 1996 .

[5]  Wenjun Chris Zhang,et al.  Assessment of Data Redundancy in Fuzzy Relational Databases Based on Semantic Inclusion Degree , 1999, Inf. Process. Lett..

[6]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[7]  Kwong-Sak Leung,et al.  Fuzzy concepts in an object oriented expert system shell , 1992, Int. J. Intell. Syst..

[8]  Yee Leung,et al.  Connections between rough set theory and Dempster-Shafer theory of evidence , 2002, Int. J. Gen. Syst..

[9]  Jiye Liang,et al.  Inclusion degree: a perspective on measures for rough set data analysis , 2002, Inf. Sci..

[10]  Wen-Xiu Zhang,et al.  Theory of including degrees and its applications to uncertainty inferences , 1996, Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium.

[11]  Shan Feng,et al.  Decision support for fuzzy comprehensive evaluation of urban development , 1999, Fuzzy Sets Syst..

[12]  Rudolf Kruse,et al.  Uncertainty and Vagueness in Knowledge Based Systems , 1991, Artificial Intelligence.

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

[14]  G. Pólya Patterns of plausible inference , 1970 .