Title :
Measures of discrimination and ambiguity for fuzzy sets
Author :
Bhandari, Dinabandhu ; Pal, Nikhil R. ; Majumder, D. Dutta
Author_Institution :
Electron. & Common. Sci. Unit, Indian Stat. Inst., Calcutta, India
Abstract :
A new informative measure for discrimination between two fuzzy sets is introduced. This discriminating measure reduces, under a special condition to the nonprobabilistic entropy discussed by A. Deluca and S. Termini (1972). The divergence measure between two sets is defined along with a large set of properties. It is used to define an ambiguity (fuzziness) measure. A. Renyi´s (1961) probabilistic entropy of order α is extended to define a nonprobabilistic entropy of a fuzzy set. Various properties of this definition are considered
Keywords :
fuzzy set theory; information theory; Renyi probabilistic entropy; ambiguity; discriminating measure; fuzziness; fuzzy set theory; nonprobabilistic entropy; Artificial intelligence; Entropy; Fuzzy control; Fuzzy set theory; Fuzzy sets; Image processing; Intelligent robots; Lead; Robot control; Set theory;
Conference_Titel :
Fuzzy Systems, 1992., IEEE International Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0236-2
DOI :
10.1109/FUZZY.1992.258610
