Title :
Some mathematical tools for linguistic probabilities
Author_Institution :
University of Massachusetts, Amherst, Mass.
Abstract :
Transformations of fuzzy sets are discussed using the relation between random sets and fuzzy sets. We propose the general formulation of optimization under elastic constraints. This formulation is based upon the notion of maximizing and minimizing sets. Using this formulation we justify the extension problem of possibility measures to fuzzy sets.
Keywords :
Calculus; Capacity planning; Constraint optimization; Fuzzy sets; Laboratories; Mathematics; Natural languages; Probability distribution; Random variables; Statistics;
Conference_Titel :
Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications, 1977 IEEE Conference on
Conference_Location :
New Orleans, LA, USA
DOI :
10.1109/CDC.1977.271513