Fuzzy qualitative modeling
At first sight qualitative modeling seems quite promising as a tool to describe how a human reasons about a physical system. However this approach presents some limitations. We feel that the introduction of fuzzy qualitative variables and relations would enhance the capacity of this modeling in simulating human reasoning. This paper shortly surveys qualitative modeling as described in Williams', Kuipers', Bonissone's papers [1,2,11,12] from which we select a brief description. We then present a practical example dealing with faucets and containers filling up. Some limitations of the model are discussed. The introduction of fuzzy qualitative variables and relations into the model is considered. The aim of this simulation is to compare the strength and ability of the non-fuzzy and the fuzzy approaches in dealing with a simple problem whose solution is already well known.
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- 1.Bobrow D.G. (1984). Qualitative Reasoning about Physical Systems: an Introduction. Artificial Intelligence, 3, 1–25.Google Scholar
- 2.Bonissone P. and Valavanis K. (1985). A comparative Study of Different Approaches to Qualitative Physics Theories. IEEE CH2215-2/85/0000/O236Google Scholar
- 3.de Kleer J. and Brown J.S. (1984). A qualitative Physics Based on Confluences. Artificial Intelligence 24, 7–83.Google Scholar
- 4.Dong W. and Shah H. (1987). Vertex Method For Computing Functions of Fuzzy Variables. Fuzzy Sets and Systems 24, 65–78.Google Scholar
- 5.Dubois D. and Prade H. (1980). Fuzzy Sets and Systems: Theory and Applications. Academic Press.Google Scholar
- 6.Forbus K.D. (1984). Qualitative Process Theory. MIT AI-TR-789.Google Scholar
- 7.Kuipers B. (1984). Commonsense Reasoning about Causality: Deriving Behaviour from Structure. Artificial Intelligence, 24, 169–203.Google Scholar
- 8.Magrez P. and Smets P. (1987). Epistemic necessity, possibility and truth. Tools for Dealing with Imprecision and Uncertainty in Fuzzy knowledge-based Systems. Subnitted for publication in International Journal of Approximate Reasoning.Google Scholar
- 9.Magrez P. and Smets P. (1987). Fuzzy Modus Ponens: a New Model Suitable for Applications in Knowledge-Based Systems. Submitted for publication.Google Scholar
- 10.Steele G.L. (1980). The Definition and Implementation of a Computer Programming Language Based on Constraints. MIT. AI-TR 595.Google Scholar
- 11.Williams B. (1984). The Use of Continuity in a Qualitative Physics. AAAI, Los Altos, 350–354.Google Scholar
- 12.Williams B. (1986). Doing Time: Putting Qualitative Reasoning on Firmer Ground. AAAI, 105–112Google Scholar