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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