Abstract
Outside of the fuzzy community, questions persist about the most common fuzzy logic as a guide to propositional truth and so, despite many practical successes, about its fitness for describing real phenomena. The paper assesses the realistic expressiveness of the logic by showing that any ordinary and non- fuzzy linear programming model can be mechanically translated into a fuzzy propositional model, and vice versa. Since linear programs are realistic, versatile, and robust, the fuzzy propositional logic cannot be otherwise.
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References
Elkan, C.: The Paradoxical Success of Fuzzy Logic. In: Proceedings AAAI Conference, pp. 698–703. MIT Press, Cambridge (1993)
Elkan, C.: The Paradoxical Success of Fuzzy Logic. IEEE Expert 9(4), 3–49 (1994) (with discussion)
Lukasiewicz, J.: Philosophical Remarks on Many-valued Systems of Propositional Logic. In: Borkowski, L. (ed.) Jan Lukasiewicz. Selected Works, pp. 153–178. North-Holland, Amsterdam (1970)
Bilgic, T., Turksen, I.B.: Measurement of Membership Functions: Theoretical and Experimental Work. In: Dubois, D., Prade, H. (eds.) Handbook of Fuzzy Sets and Systems. ch. 3, vol. I, Kluwer, Dodrecht (1999)
Gaines, B.R.: Fuzzy and Probability Uncertainty Logics. Information and Control 38, 154–169 (1978)
Giles, R.: Lukaisewicz Logic and Fuzzy Set Theory. International Journal of Man-Machine Studies 8, 313–327 (1976)
van Benthem, J.: Action and Procedure in Reasoning. Cardozo Law Review 22, 1575–1593 (2001)
von Neumann, J.: On the Theory of Games of Strategy. In: Tucker, A.W., Luce, R.D. (eds.) Contributions to the Theory of Games, pp. 13–42. Princeton, Princeton (1959)
Dantzig, G.B.: A Proof of the Equivalence of the Programming Problem and the Game Problem. In: Koopmans, T.C. (ed.) Activity Analysis of Production and Allocation, pp. 330–335. Wiley, New York (1951)
Luce, R.D., Raiffa, H.: Games and Decisions. Wiley, New York (1957)
Snow, P., Freuder, E.C.: Improved Relaxation and Search Methods for Approximate Constraint Satisfaction with a Maximin Criterion. In: Proceedings of the Conference of the Canadian Society for Computational Studies of Intelligence, pp. 227–230 (1990)
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Snow, P. (2004). What Concrete Things Does Fuzzy Propositional Logic Describe?. In: Zhang, C., W. Guesgen, H., Yeap, WK. (eds) PRICAI 2004: Trends in Artificial Intelligence. PRICAI 2004. Lecture Notes in Computer Science(), vol 3157. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28633-2_48
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DOI: https://doi.org/10.1007/978-3-540-28633-2_48
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22817-2
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