Logical Structures for Representation of Knowledge and Uncertainty Hardback - 1998
by Ellen Hisdal
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- Hardback
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Details
- Title Logical Structures for Representation of Knowledge and Uncertainty
- Author Ellen Hisdal
- Binding Hardback
- Edition 1st
- Condition New
- Pages 420
- Volumes 1
- Language ENG
- Publisher Physica-Verlag
- Publication date 1998-01-15
- Illustrated Yes
- Features Illustrated
- Bookseller's Inventory # ria9783790810561_inp
- ISBN 9783790810561 / 3790810568
- Weight 1.78 lbs (0.81 kg)
- Dimensions 9.21 x 6.14 x 1 in (23.39 x 15.60 x 2.54 cm)
- Category Computers - General Information
- Library of Congress Catalogue Number 97039316
- Dewey Decimal Code 006.332
- Quantity available 621
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From the publisher
From the rear cover
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.
