Uncertainty in the Dempster-Shafer theory: A critical re-examination

International Journal of General Systems

Volumn 18, Issue 2, 1990, Pages 155-166

  Klir, George J ^a   Ramer, Arthur ^b  

^a BINGHAMTON UNIVERSITY   (United States)

^b UNIVERSITY OF OKLAHOMA   (United States)

Author keywords

belief measure; conflict; confusion; Dempster Shafer theory; discord; dissonance; nonspecificity; plausibility measure; possibility theory; uncertainty

Indexed keywords

EID: 84963176999     PISSN: 03081079     EISSN: 15635104     Source Type: Journal    
DOI: 10.1080/03081079008935135     Document Type: Article

References (22)

1. G. Choquet, “Theory of capacities”. Annates de L'Institut Fourier, 5, 1953/54, pp. 131-295.
2. D. Dubois and H. Prade, “Properties of measures of information in evidence and possibility theories”. Fuzzy Sets and Systems, 24, No. 2, 1987, pp. 161-182.
3. I. Hacking, The Emergency of Probability. Cambridge University Press, Cambridge, 1975.
4. R. V. L. Hartley, “Transmission of information”, The Bell System Technical J., 7, 1928, pp. 535-563.
5. S. J. Henkind and M. C. Harrison, “An analysis of four uncertainty calculi”. IEEE Trans, on Systems, Man, and Cybernetics, 18, No. 5, 1988, pp. 700-714.
6. U. Höhle, “Entropy with respect to plausibility measures”. Proc. 12th IEEE Symp. on Multiple-Valued logic, Paris, 1982, pp. 167-169.
7. G. J. Klir, “The role of uncertainty principles in inductive systems modelling”. Kybernetes, 17, No. 2, 1988, pp. 24-34.
8. G. J. Klir and T. A. Folger, Fuzzy Sets, Uncertainty, and Information. Prentice Hall, Englewood Cliffs (N.J.), 1988.
9. B. Kosko, “Fuzzy entropy and conditioning”. Information Sciences, 40, No. 1, 1987, pp. 1-10.
10. M. T. Lamata and S. Moral, “Measures of entropy in the theory of evidence”. Intern. J. of General Systems, 14, No. 4, 1988, pp. 297-305.
11. G. Matheron, Random Sets and Integral Geometry. John Wiley, New York, 1975.
12. E. M. Oblow, “O-theory: a hybrid uncertainly theory”. Intern. J. of General Systems, 13, No. 2, 1987, pp. 95-106.
13. Z. Pawiak, “Rough sets”. Intern. J. of Computer and Information Sciences, 11, 1982, pp. 341-356.
14. A. Ramer, “Uniqueness of information measure in the theory of evidence”. Fuzzy Sets and Systems, 24, No. 2, 1987, pp. 183-196.
15. A. Ramer and G. J. Klir, “Measures of conflict and discord”. Information Sciences (to appear).
16. G. Shafer, A Mathematical Theory of Evidence. Princeton University Press, Princeton, 1976.
17. C. E. Shannon, “The mathematical theory of communication”. The Bell System Technical Journal, 27, 1948, pp. 379-423, 623-656.
18. Special Issue of Fuzzy Sets and Systems on Measures of Uncertainty, 24, No. 2, November 1987, pp. 139-254.
19. H. E. Slephanou and A. P. Sage, “Perspectives on imperfect information”. IEEE Trans, on Systems, Man, and Cybernetics, 17, No. 5, 1987, pp. 780-798.
20. M. Sugeno, “Fuzzy measures and fuzzy integrals: a survey”. In: Fuzzy Automata and Decision Processes, edited by M. M. Gupta, G. N. Saridis, and B. R. Gaines, North-Holland, Amsterdam and New York, 1977, pp. 89-102.
21. R. Yager, “Entropy and specificity in a mathematical theory of evidence”. Intern. J. of General Systems, 9, No. 4, 1983, pp. 249-260. 22. L. A. Zadeh, “Fuzzy sets”. Information and Control, 8, No. 3, 1965, pp. 338-353.
22. L. A. Zadeh, “Fuzzy sets as a basis for a theory of possibility”. Fuzzy Sets and Systems, 1, No. 1, 1978, pp. 3-28.