A new method for diagnostic problem solving based on a fuzzy abductive inference model and the tabu search approach

Abstract In this paper, the well developed parsimonious set covering theory based abductive inference model for diagnostic problem solving is extended, in order to deal with degrees of cause-and-effect relationship between disorders and manifestations, and degrees of manifestations. A new fuzzy abductive inference model capable of handling these problems is developed, and a new criterion for describing the relative plausibility of different diagnosis hypotheses proposed. Based on this criterion, the diagnostic problem is then formulated as a 0–1 integer programming problem, and a tabu search (TS) approach is presented for solving the problem. Three sample studies are served for demonstrating the reasonableness of the developed fuzzy abductive inference model and the computational efficiency of the TS based method.

[1]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[2]  Michaël Rusinowitch,et al.  Preferring diagnoses by abduction , 1993, IEEE Trans. Syst. Man Cybern..

[3]  Piotr J. Gmytrasiewicz,et al.  Fault Tree Based Diagnostics Using Fuzzy Logic , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  S. M. Shahidehpour,et al.  Hydro-thermal, scheduling by tabu search and decomposition method , 1996 .

[5]  Yun Peng,et al.  Plausibility of Diagnostic Hypotheses: The Nature of Simplicity , 1986, AAAI.

[6]  Robert E. Dalton Towards a Theory of Fuzzy Causality for Diagnosis , 1994, Inf. Sci..

[7]  T. Furuhashi,et al.  A study on fuzzy abductive inference , 1995, Proceedings of 1995 IEEE International Conference on Fuzzy Systems..

[8]  Lawrence. Davis,et al.  Handbook Of Genetic Algorithms , 1990 .

[9]  Fushuan Wen,et al.  Tabu search approach to alarm processing in power systems , 1997 .

[10]  J. Reggia,et al.  Abductive Inference Models for Diagnostic Problem-Solving , 1990, Symbolic Computation.

[11]  Fred Glover,et al.  Tabu Search - Part II , 1989, INFORMS J. Comput..

[12]  Fred W. Glover,et al.  Tabu Search - Part I , 1989, INFORMS J. Comput..