Logical Structures for Representation of Knowledge and Uncertainty

To answer questions concerning previously supplied information the book uses a truth table or 'chain set' logic which combines probabilities with truth values (= possibilities of fuzzy set theory). Answers to questions can be 1 (yes); 0 (no); m (a fraction in the case of uncertain informat...

Full description

Bibliographic Details
Main Author: Hisdal, Ellen
Format: eBook
Language:English
Published: Heidelberg Physica 1998, 1998
Edition:1st ed. 1998
Series:Studies in Fuzziness and Soft Computing
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • BP Logic
  • Chain Set and Probability Overview
  • BP Chain Sets I, Affirmation, Negation, Conjunction, Disjunction
  • BP Chain Sets II, Special Cases of Chain Sets
  • BP Chain Sets III, Precise Formulations
  • Inferences or the Answering of Questions
  • Inferences with Higher Level Chain Sets
  • IF THEN Information
  • Various IF THEN Topics
  • M Logic
  • The M-Notation and Ignorance vs Uncertainty
  • Two Types of Updating of Probabilities
  • Operations and Ignorance in the M Logic
  • Modus Ponens and Existence Updating
  • IF THEN Information in the M Logic
  • Existence Structures
  • Existence Inferences
  • Conditional and Joint Existence Information and Inferences
  • Attributes and The Alex System versus Chain Sets
  • Attributes and the Alex System versus Chain Sets
  • Solutions to Some Exercises