Abstract
Stochastic logic is a nonstandard logic that essentially takes interdependence and global connection into account. The present paper gives the basic operations and properties of this kind of nonstandard logic using the model provided by the stochastic sets defined by joint probability (or credibility) distributions. The Cantor sets are obtained when the joint distributions are degenerate.
Preview
Unable to display preview. Download preview PDF.
References
B. Bouchon-Meunier: La logique floue. Paris: Presses Universitaires de France 1993
A. Christie: Lord Edgware dies. New York: Berkley Books 1984 (first published by Grosset & Dunlap in 1933)
D. Dubois, H. Prade: Fuzzy sets and systems. New York: Academic Press 1980
S. Guiasu: A unitary treatment of several known measures of uncertainty induced by probability, possibility, fuzziness, plausibility, and belief. In B. Bouchon-Meunier, L. Valverde, R.R. Yager (eds.): Uncertainty in intelligent systems. Amsterdam: North-Holland 1993, pp. 355–366
S. Guiasu: Fuzzy sets with inner interdependence. Information Sciences 79, 315–338 (1994)
S. Guiasu: Reaching a verdict by weighting evidence. In P.P. Wang (ed.): Advances in Fuzzy Theory and Technology, vol.2, Raleigh, North Carolina: Bookwrights 1994, pp. 167–180
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Guiasu, S. (1995). On the formalism of stochastic logic. In: Froidevaux, C., Kohlas, J. (eds) Symbolic and Quantitative Approaches to Reasoning and Uncertainty. ECSQARU 1995. Lecture Notes in Computer Science, vol 946. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60112-0_26
Download citation
DOI: https://doi.org/10.1007/3-540-60112-0_26
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60112-8
Online ISBN: 978-3-540-49438-6
eBook Packages: Springer Book Archive