A dynamical approach to logical decisions
โ Scribed by Eduardo Mizraji; Juan Lin
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 147 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1076-2787
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โฆ Synopsis
We propose a first approximation to the modeling of cognitive decisions based on the theory of associative memories. The basic structure are the matrix memories of Anderson-Kohonen adapted to include the modulation of associations via tensorial preprocessing of inputs. This view admits an easy implementation of logical operations as matrix operators. From this "vectorial logic" springs a variety of models for fuzzy decision processes. Degrees of fuzziness are introduced at two different levels: (a) by the operators of modal logic, and (b) by using logical variables as vectors with projections inside the interval [0,1]. The outcomes of this vectorial logic can be projected onto unit vectors yielding scalar difference equations. As examples we study the dynamics of contradictory self-referential systems and processes leading to competition between options. These models exhibit a variety of dynamical patterns that include stable steady states, oscillations, and deterministic chaos.
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Edited By Dale Jacquette. Includes Bibliographical References And Index.
Edited By Dale Jacquette. Includes Bibliographical References And Index.
Edited By Dale Jacquette. Includes Bibliographical References And Index.