A set-theoretical foundation of qualitative reasoning and its application to the modeling of economics and business management problems

Information Systems Frontiers

Volumn 5, Issue 4, 2003, Pages 379-399

  Hinkkanen, Aimo ^a   Lang, Karl R ^b   Whinston, Andrew B ^c  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b CITY UNIVERSITY OF NEW YORK   (United States)

^c UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Epistemology; Incomplete information; Qualitative modeling; Qualitative reasoning; Simulation

Indexed keywords

ALGEBRA; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); ECONOMICS; FUNCTIONS; MANAGEMENT INFORMATION SYSTEMS; NUMERICAL ANALYSIS; PROBABILITY DISTRIBUTIONS; PROBLEM SOLVING;

EPISTEMOLOGY; INCOMPLETE INFORMATION; QUALITATIVE MODELING; QUALITATIVE REASONING (QR);

SET THEORY;

EID: 0344152298     PISSN: 13873326     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:ISFI.0000005652.72048.4d     Document Type: Article

References (37)

1. Allen RGD. Mathematical Economics, London: MacMillan, 1956.
2. Alpar P, Dilger W. Market share analysis and prognosis using qualitative reasoning, Decision Support Systems 1995;15(2):133-146.
3. Ba S, Lang, KR, Whinston, AB, Enterprise decision support using intranet technology, Decision Support Systems 1997;20(2):99-134.
4. Bailey AD, Kiang MY, Kuipers, B, Whinston AB. Analytic procedures and qualitative reasoning in auditing. Applications in Management Science, JAI Press, 1991.
5. Benaroch M, Dhar V. Controlling the complexity of investment decisions using qualitative reasoning techniques. Decision Support Systems 1995;15(2):115-132.
6. Berleant D, Kuipers B. Qualitative and quantitative simulation: Bridging the gap. Artificial Intelligence 1998;95(2):215-255.
7. Bobrow DG. ed., Reasoning about Physical Systems. Cambridge, MA: MIT Press, 1985.
8. Bredeweg B, Winkels R. Qualitative models in interactive learning environment. Interactive Learning Environments 1998:5:1-18.
9. de Kleer, J. A view on qualitative physics. In: Bobrow D. ed., Artificial Intelligence in Perspective. Cambridge, MA: MIT Press, 1993;105-114.
10. de Kleer J. Browne JS. A qualitative physics based on confluences. Artificial Intelligence 1984;24:7-83.
11. Dordan O. Mathematical problems arising in qualitative simulation of a differential equation. Artificial Intelligence 1992;55:61-86.
12. Escrig MT, Toledo F. Qualitative Spatial Reasoning, Amsterdam: IOS Press, 1998.
13. Farley AM, Lin KP. Qualitative reasoning in economics. Journal of Economic Dynamics and Control 1990:14,465-490.
14. Forbus KD. Qualitative process theory. Artificial Intelligence 1984;24:85-168.
15. Forbus KD. Using qualitative physics to create articulate educational software. IEEE Expert 1997;12:32-41.
16. Goldberg S. Introduction to Difference Equations, New York: John Wiley, 1958.
17. Hinkkanen A, Lang KR, Whinston AB. On the usage of qualitative reasoning as an approach towards enterprise modeling. Annals of Operations Research 1995;55:101-137.
18. Hintikka J. Knowledge and Belief, New York: John Wiley, 1962.
19. Ingalls R, Morrice DJ, Whinston AB, The implementation of temporal intervals in qualitative simulation graphs. ACM Transactions on Modeling and Computer Simulation 2000;10(3):215-240.
20. Iwasaki Y. Real-world applications of qualitative reasoning. IEEE Expert 1997;12,16-21.
21. Iwasaki Y, Simon H. Causality in device behavior. Artificial Intelligence 1986;29:3-32.
22. Kiang MY, Hinkkanen A, Whinston AB. An interval propagation method for solving qualitative difference equations systems. IEEE Transactions on Systems, Man, and Cybernetics 1995;25:1110-1120.
23. Kuipers B. Qualitative simulation. Artificial Intelligence 1986;29: 289-338.
24. Kuipers B. Qualitative Reasoning, Modeling and Simulation with Incomplete Knowledge, Cambridge, MA: MIT Press, 1994.
25. Lenzen W. Recent Work in Epistemic Logic. Amsterdam: North Holland, 1978.
26. Lang KR, Moore JC, Whinston AB. Computational systems for qualitative economics. Computational Economics 1995;8(1):1-26.
27. Monge PR. Theoretical and analytical issues in studying organizational processes. Organization Science 1990;1:406-430.
28. Raiman O. Order of magnitude reasoning. Artificial Intelligence 1991;51:11-38.
29. Samuelson PA. Foundations of Economic Analysis. Cambridge, Mass: Harvard Univ. Press, 1947.
30. Simon H, Kalagnanam J, Iwasaki Y. The mathematical basis for qualitative reasoning. IEEE Expert 1991:11-19.
31. Simmons R. "Commonsense" arithmetic reasoning. In: Proceedings AAAI-86, Philadelphia, PA, 1986:118-124.
32. Smith N. First steps in formalizing qualitative systems dynamics. In: Proceedings of the 14th International Workshop on Qualitative Reasoning, Morelia, Mexico, 2000:138-143.
33. Struss P. Problems of interval-based qualitative reasoning. In: de Kleer J. Wald D. eds., Readings in Qualitative Reasoning about Physical Systems. Los Altos, CA: Morgan Kaufman, 1990:288-311.
34. Weld DS, de Kleer J. eds., Reading in Qualitative Reasoning about Physical Systems. San Mateo, CA: Margan Kaufman, 1990.
35. Williams BC. A theory of interactions: Unifying qualitative and quantitative algebraic reasoning. Artificial Intelligence 1991;51: 39-94.
36. Wolstenholme EF. Qualitative vs. quantitative modeling: The evolving balance. Journal of the Operational Research Society 1999;50: 422-428.
37. Wyatt GJ. Leiten RR, Steele AD. Qualitative and quantitative simulation of interacting markets. Decision Support Systems 1995;15(2), 105-114.