Title: Dynamic fuzzy logic leads to more adequate 'and' and 'or' operations

Authors: Vladik Kreinovich

Addresses: Department of Computer Science, University of Texas at El Paso, El Paso, TX 79968, USA

Abstract: In the traditional (static) fuzzy logic approach, we select an 'and'-operation (t-norm) and an 'or'-operation (t-conorm). The result of applying these selected operations may be somewhat different from the actual expert's degrees of belief in the corresponding logical combinations A&B and A _ B of the original statements - since these degrees depend not only on the expert's degrees of belief in statements A and B, but also in the extent to which the statements A and B are dependent. We show that dynamic fuzzy logic enables us to automatically take this dependence into account - and thus, leads to more adequate 'and'- and 'or'-operations.

Keywords: dynamic fuzzy logic; and-operations; or-operations; ergodic theorem; knowledge engineering; soft data paradigms.

DOI: 10.1504/IJKESDP.2014.069302

International Journal of Knowledge Engineering and Soft Data Paradigms, 2014 Vol.4 No.4, pp.327 - 338

Published online: 09 May 2015 *

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