عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783790818871
(Number (ISBN
9783790824582
NATIONAL BIBLIOGRAPHY NUMBER
Number
b408042
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Logical Structures for Representation of Knowledge and Uncertainty
General Material Designation
[Book]
First Statement of Responsibility
by Ellen Hisdal.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Heidelberg :
Name of Publisher, Distributor, etc.
Imprint: Physica,
Date of Publication, Distribution, etc.
1998.
SERIES
Series Title
Studies in Fuzziness and Soft Computing,
Volume Designation
14
ISSN of Series
1434-9922 ;
CONTENTS NOTE
Text of Note
Chain Set and Probability Overview -- BP Chain Sets I, II, and and III -- Inferences or the Answering of Questions -- Inferences with Higher Level Chain Sets -- IF THEN Information -- Various IF THEN Topics -- The M-Notation and Ignorance vs Uncertainty -- Two Types od 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 vs Chain Sets -- Solutions to Some Exercises.
0
SUMMARY OR ABSTRACT
Text of Note
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 information); 0m, m1 or 0m1 (in the case of 'ignorance' or insufficient information). Ignorance (concerning the values of a probability distribution) is differentiated from uncertainty (concerning the occurrence of an outcome). An IF THEN statement is interpreted as specifying a conditional probability value. No predicate calculus is needed in this probability logic which is built on top of a yes-no logic. Quantification sentences are represented as IF THEN sentences with variables. No 'forall' and 'exist' symbols are needed. This simplifies the processing of information. Strange results of first order logic are more reasonable in the chain set logic. E.g., (p->q) AND (p->NOTq), p->NOT p, (p->q)->(p->NOT q), (p->q)- >NOT(p->q), are contradictory or inconsistent statements only in the chain set logic. Depending on the context, two different rules for the updating of probabilities are shown to exist. The first rule applies to the updating of IF THEN information by new IF THEN information. The second rule applies to other cases, including modus ponens updating. It corresponds to the truth table of the AND connective in propositional calculus. Many examples of inferences are given throughout the book.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9783790824582
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Artificial intelligence.
Computer science.
Logic, Symbolic and mathematical.
Operations research.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Hisdal, Ellen.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307155100.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
