Entropy Conserving Probability Transforms and the Entailment Principle

Authors

Ronald R. Yager
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

10-2006

Comments

UTEP-CS-05-33a.

Preliminary version published by Iona College as Machine Intelligence Institute Technical Report MII-2518, September 2005; revised version MII-2518R published in October 2006; full paper published in Fuzzy Sets and Systems, 2007, Vol. 158, No. 12, pp. 1397-1405.

Abstract

Our main result here is the development of a general procedure for transforming some initial probability distribution into a new probability distribution in a way that the resulting distribution has entropy at least as great as the original distribution. A significant aspect of our approach is that it makes use of the Zadeh's entailment principle which is itself a general procedure for going from an initial possibility distribution to a new possibility distribution so that the resulting possibility has an uncertainty at least as great of the original.