Title :
Fuzzy sets as conditional probabilities: which meaningful operations can be defined?
Author :
Coletti, Giulianella ; Scozzafava, Romano
Author_Institution :
Dipt. di Matematica e Inf., Perugia Univ., Italy
Abstract :
Conditional events and coherent conditional probability theory can be a proper framework for dealing with fuzzy theory, both from a semantic and a syntactic point of view: the former aspect has been emphasized in a previous NAFIPS conference, while here we discuss the latter by embedding our approach in a formal logic framework. We introduce suitable operations between fuzzy sets, looked on as corresponding operations between conditional events endowed with the relevant conditional probability
Keywords :
formal logic; fuzzy set theory; probability; coherent conditional probability theory; conditional events; conditional probabilities; formal logic framework; fuzzy sets; fuzzy theory; semantic approach; syntactic approach; Boolean algebra; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Terminology;
Conference_Titel :
IFSA World Congress and 20th NAFIPS International Conference, 2001. Joint 9th
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-7078-3
DOI :
10.1109/NAFIPS.2001.944355
