Title :
Measuring the information and character of a fuzzy measure
Author :
Yager, Ronald R.
Author_Institution :
Iona Coll., New Rochelle, NY, USA
Abstract :
We discuss the use of the fuzzy measure for representing information about uncertain variables. We describe the relationship between the fuzzy measure and the Dempster-Shafer (D-S) belief structure. A method for generating the fuzzy measures associated with a D-S belief structure is described. We discuss the use of the Shapley index as a means for providing an entropy for fuzzy measures. We introduce the cardinality index of a fuzzy measure and use it to define the attitudinal character of a fuzzy measure
Keywords :
belief maintenance; entropy; fuzzy set theory; uncertainty handling; Dempster-Shafer theory; Shapley index; belief maintenance; entropy; fuzzy measure; uncertain variables; uncertainty handling; Educational institutions; Entropy; Extraterrestrial measurements; Fuzzy sets; Measurement uncertainty; Reflection; Shape measurement;
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.2001.943811