1 results
A probabilistic interpretation of the degree of fuzziness
- Part of
-
- Journal:
- Journal of Applied Probability / Volume 31 / Issue 4 / December 1994
- Published online by Cambridge University Press:
- 14 July 2016, pp. 1034-1048
- Print publication:
- December 1994
-
- Article
- Export citation
-
In this paper we give a probabilistic interpretation for the function d(f), which has been proposed as a measure of fuzziness of a fuzzy set f. For this we construct random patterns which approximate the fuzzy set f and show that, for large n, the number of possible outcomes of the nth random pattern is approximately 2nd(f). We also give the best possible constant K in a more accurate approximation
.
.