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Logical Structures for Representation of Knowledge and Uncertainty

Logical Structures for Representation of Knowledge and Uncertainty

by Ellen Hisdal
Hardback
Publication Date: 15/01/1998

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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.
ISBN:
9783790810561
9783790810561
Category:
Fuzzy set theory
Format:
Hardback
Publication Date:
15-01-1998
Language:
English
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country of origin:
Germany
Pages:
420
Dimensions (mm):
235x155x25mm
Weight:
1.78kg

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