Fuzziness vs.Probability JIN Yan Nov.17,2004
Fuzziness vs. Probability JIN Yan Nov. 17, 2004
The outline of Chapter 7 Part I Fuzziness vs.probability Part II Fuzzy sets relevant theories
The outline of Chapter 7 Part I Fuzziness vs. probability Part II Fuzzy sets & relevant theories
Part I In general,Kosko's position is: Probability is a subset of Fuzzy Logic. Probability still works.It is just the binary subset of fuzzy theory
Part I In general, Kosko's position is: ◼ Probability is a subset of Fuzzy Logic. ◼ Probability still works. It is just the binary subset of fuzzy theory
Fuzziness in a probabilistic World Uncertainty-how to describe this notion in math? Probability is the only answer probabilists hold this.) 。Fuzziness. (probability describes randomness, but randomness doesn't equal uncertainty.Fuzziness can describe those ambiguous phenomena which are also uncertainty.)
Fuzziness in a Probabilistic World Uncertainty—how to describe this notion in math? ⚫ Probability is the only answer ( probabilists hold this.) ⚫ Fuzziness. (probability describes randomness, but randomness doesn’t equal uncertainty. Fuzziness can describe those ambiguous phenomena which are also uncertainty.)
Randomness ys.Fuzziness Similarities: 1.both describe uncertainty. 2.both using the same unit interval [0,1] 3.both combine sets propositions associatively,commutatively,distributively
Randomness vs. Fuzziness ◼ Similarities: 1. both describe uncertainty. 2. both using the same unit interval [0,1]. 3. both combine sets & propositions associatively, commutatively, distributively