Information Transformers and the Concept of Informativeness

Document Type

Presentation Abstract

Presentation Date

2-10-2000

Abstract

We consider a uniform class of information transformers as a family of morphisms of a category that satisfies a certain set of axioms. The talk defines basic concepts for information transformers and studies their main properties in terms of categories of information transformers. In particular it generalizes the Bayesian approach to decision-making problems. It also introduces two different approaches to comparison of informativeness of information transformers and investigates their interrelations. This topic incorporates a unified algebraic approach to statistics, fuzzy decision making, etc., in a variety of applied problems. Several examples of concrete categories of information transformers are presented.

Additional Details

Thursday, 10 February 2000
4:10 p.m. in Math 109
Coffee/treats at 3:30 p.m. Math 104 (lounge)

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