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Studies in Fuzziness and Soft Computing #14: Logical Structures for Representation of Knowledge and Uncertainty

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Studies in Fuzziness and Soft Computing #14: Logical Structures for Representation of Knowledge and Uncertainty Cover

 

Synopses & Reviews

Publisher Comments:

To answer questions concerning previously supplied informat- ion the book uses a truth table or 'chain set' logic which combines probabilities with truth values (possibilities). Answers to questions can be 1 (yes); 0 (no); m (a fraction in the case of uncertain information); 0m, m1 or 0m1 (in the case of 'ignorance' or insufficient information). An IF THEN statement is interpreted as specifying a conditional probab- ility value. No predicate calculus is needed in this probab- ility logic which is built on top of a yes-no logic. Quanti- fication sentences are represented as IF THEN sentences with variables. Strange results of first order logic are more reasonable in the chain set logic. E.g., (p->q)->(p->NOTq), (p->q) AND (p->NOTq), (p->q)-> NOT(p->q), p->NOT p, are contradictory statements only in the chain set logic.

Table of Contents

Introduction.- BP Logic: Chain Set and Probability Overview; BP Chain Sets I, Affirmation, 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 Inference.- Attributes and the Alex System versus Chain Sets: Attributes and the Alex System versus Chain Sets; Solutions to Some Exercises.

Product Details

ISBN:
9783790824582
Author:
Hisdal, Ellen
Publisher:
Physica-Verlag
Location:
Heidelberg
Subject:
Operating Systems - General
Subject:
Artificial Intelligence
Subject:
Unsicherheit
Subject:
Wissensreprsentation
Subject:
Knstliche Intelligenz
Subject:
representation of knowledge
Subject:
Uncertainty
Subject:
Artificial Intelligence (incl. Robotics)
Subject:
Mathematical Logic and Foundations
Subject:
Operations Research/Decision Theory
Subject:
Operation Research/Decision Theory
Subject:
Computer Science
Subject:
Language, literature and biography
Subject:
Engineering
Subject:
Logic, symbolic and mathematical
Subject:
Operations Research
Copyright:
Edition Description:
Softcover reprint of hardcover 1st ed. 1998
Series:
Studies in Fuzziness and Soft Computing
Series Volume:
14
Publication Date:
20101215
Binding:
TRADE PAPER
Language:
English
Pages:
444
Dimensions:
235 x 155 mm 711 gr

Related Subjects

Computers and Internet » Artificial Intelligence » General
Computers and Internet » Computers Reference » General
Computers and Internet » Operating Systems » General
Science and Mathematics » History of Science » General
Science and Mathematics » Mathematics » Set Theory

Studies in Fuzziness and Soft Computing #14: Logical Structures for Representation of Knowledge and Uncertainty New Trade Paper
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