The object recognition problem when features fail to be homogeneous

Abstract The goal of the present work is to obtain a reasonable solution to the problem of object identification. Sensors report on certain independent feature values of an object. The Dempster-Shafer theory is used to integrate the information coming from these independent sources. Moreover, the sensors do not report the feature values in a crisp manner. These values are only stochastically determined. Also, in the data base itself, objects only partially belong to classes determined by feature views. This might be due to the inability of the expert or expert system to pinpoint exactly the feature value of a given object. This setting naturally leads to applying the Dempster-Shafer theory to masses whose focal elements are fuzzy sets. A similar approach is taken to produce an economical solution to the problem of object identification. A set of sensors is picked based on performance evaluation.

[1]  Jean-Yves Jaffray,et al.  Application of Linear Utility Theory to Belief Functions , 1988, IPMU.

[2]  Dan W. Patterson,et al.  Introduction to artificial intelligence and expert systems , 1990 .

[3]  Robert M. Kleyle,et al.  A unified model for data acquisition and decision making , 1989, J. Inf. Sci..

[4]  Vijay K. Rohatgi,et al.  Advances in Fuzzy Set Theory and Applications , 1980 .

[5]  David Maier,et al.  The Theory of Relational Databases , 1983 .

[6]  Lotfi A. Zadeh,et al.  Fuzzy sets and information granularity , 1996 .

[7]  Mitsuru Ishizuka,et al.  Inference procedures under uncertainty for the problem-reduction method , 1982, Inf. Sci..

[8]  Philippe Smets,et al.  Belief Functions versus Probability Functions , 1988, IPMU.

[9]  Leonard P. Wesley Evidential knowledge-based computer vision , 1986 .

[10]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[11]  Robert M. Kleyle,et al.  A belief function approach to information utilization in decision making , 1990, J. Am. Soc. Inf. Sci..

[12]  John Yen,et al.  GERTIS: a Dempster-Shafer approach to diagnosing hierarchical hypotheses , 1989, CACM.

[13]  Robert M. Kleyle,et al.  An evidential approach to problem solving when a large number of knowledge systems is available , 1990, Int. J. Intell. Syst..

[14]  Lotfi A. Zadeh,et al.  A Simple View of the Dempster-Shafer Theory of Evidence and Its Implication for the Rule of Combination , 1985, AI Mag..

[15]  Thomas M. Strat,et al.  Decision analysis using belief functions , 1990, Int. J. Approx. Reason..