Logical Structures for Representation of Knowledge and Uncertainty

• Main Author: Hisdal, Ellen (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Heidelberg : Physica-Verlag HD : Imprint: Physica, 1998.
• Edition: 1st ed. 1998.
• Series: Studies in Fuzziness and Soft Computing, 14
• Subjects: Mathematical logic.; Artificial intelligence.; Operations research.; Decision making.; Mathematical Logic and Foundations.; Artificial Intelligence.; Operations Research/Decision Theory.

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...

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.