Title :
A general approach to approximate reasoning via probability-possibility conversion
Author_Institution :
Dept. de Math., Quebec Univ., Montreal, Que., Canada
Abstract :
A few years ago, by using the theory of relative information, the author has obtained a family of probability-possibility conversion formulae. This result is herein used to get new approaches to some topics of approximate reasoning in the framework of fuzzy set theory. A membership function is equivalent to the pair (probability, fuzziness coefficient), therefore a new concept of membership entropy; and a fuzzy set is considered simultaneously with its complement
Keywords :
fuzzy set theory; inference mechanisms; possibility theory; probability; approximate reasoning; fuzziness coefficient; fuzzy set theory; membership entropy; membership function; probability-possibility conversion; Artificial intelligence; Cost function; Entropy; Equations; Fuzzy set theory; Fuzzy sets; Information theory; Marine vehicles; Mathematics;
Conference_Titel :
Systems, Man and Cybernetics, 1993. 'Systems Engineering in the Service of Humans', Conference Proceedings., International Conference on
Conference_Location :
Le Touquet
Print_ISBN :
0-7803-0911-1
DOI :
10.1109/ICSMC.1993.390790
