This Article 
   
 Share 
   
 Bibliographic References 
   
 Add to: 
 
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb
 
 Search 
   
A Qualitative Discriminant Approach for Generating Quantitative Belief Functions
March/April 1998 (vol. 10 no. 2)
pp. 345-348

Abstract—We present an approach that will be useful in knowledge acquisition from experts on the degree of belief in, or the probability of, the truthfulness of various propositions. Its advantages include exploring the given problem situation using linguistic quantifiers; avoiding the premature use of numeric measures; and identifying input data that is inconsistent with the theory of belief functions.

[1] T. Chard, "Qualitative Probability versus Quantitative Probability in Clinical Diagnosis," Medical Decision Making, vol. 11, pp. 38-41, 1994.
[2] D. Timmermanns, "The Roles of Experience and Domain of Expertise in Using Numerical and Verbal Probability Terms in Medical Decisions," Medical Decision Making, vol. 14, pp. 146-156, 1994.
[3] B. Woodward, Veil: The Secret Wars of the CIA, 1981-1987, Pocket Books, New York 1987.
[4] L. Zadeh, "Concept of a Linguistic Variable and its Application to Approximate Reasoning," Information Sciences, Part I, vol. 8, pp. 199-249, 1975.
[5] R. Yager, "Fuzzy Screening Systems," Fuzzy Logic: State of the Art, R. Lowen, ed., Kluwer, 1992.
[6] A. Zimmer, "Verbal vs. Numerical Processing of Subjective Probabilities," Decision Making Under Uncertainty, R.W. Scholz, ed., pp. 159-182,North-Holland: Elsevier, 1983.
[7] A. Dempster, "Upper and Lower Bound Probabilities by a Multi-Valued Mapping," Ann. Math. Statistics, vol. 38, pp. 325-339, 1967.
[8] G. Shafer, A Mathematical Theory of Evidence, Princeton Univ. Press, Princeton, N.J., 1976.
[9] N. Bryson, O. Ngwenyama, and A. Mobolurin, "A Qualitative Discriminant Approach to Scoring and Ranking in Group Decision Support Systems," Information Processing and Management, vol. 30, no. 2, pp. 389-405, 1994.
[10] A. Arbel, "A Linear Programming Approach for Processing Approximate Articulation of Preference," Multiple Criteria Decision Support, P. Korhonen, A. Lewandowski, and J. Wallenius, eds., pp. 81-86, 1989.
[11] N. Bryson, A. Mobolurin, and O. Ngwenyama, "Modelling Pairwise Comparisons on Ratio Scales," European J. Operational Research, vol. 83, pp. 639-654, 1995.
[12] S. Wong and P. Lingras, "Representative of Qualitative User Preference by Qualitative Belief Functions," IEEE Trans. Knowledge and Data Eng., vol. 6, no. 1, pp. 72-78, 1994.
[13] S. Parsons, "Some Qualitative Approaches to Applying Dempster-Shafer Theory," Information and Decision Technologies, vol. 19, pp. 321-337, 1994.
[14] L. Zadeh, "A Computational Approach to Fuzzy Quantifiers in Natural Language," Computer and Mathematics with Applications, vol. 9, pp. 149-184, 1983.
[15] R. Hamm, "Selection of Verbal Probabilities: A Solution for Some Problems of Verbal Probability Expression," Organization Behavior and Human Decision Processes, vol. 48, pp. 193-223, 1991.
[16] A. Mobolurin and N. Bryson, "Aggregating Preference Rankings: An AHP-Based Approach," J. Multi-Criteria Decision Analysis, vol. 2, no. 1, pp. 27-39, 1993.

Index Terms:
Belief functions, vague pairwise comparisons, numeric interval comparisons, qualitative belief comparisons, knowledge acquisition.
Citation:
Noel (Kweku-Muata) Bryson, Ayodele Mobolurin, "A Qualitative Discriminant Approach for Generating Quantitative Belief Functions," IEEE Transactions on Knowledge and Data Engineering, vol. 10, no. 2, pp. 345-348, March-April 1998, doi:10.1109/69.683765
Usage of this product signifies your acceptance of the Terms of Use.