Title :
Rough-fuzzy membership functions
Author :
Sarkar, Mohanchur ; Yegnanarayana, B.
Author_Institution :
Dept. of Comput. Sci. & Eng., Indian Inst. of Technol., Madras, India
Abstract :
This paper generalizes the concept of rough membership functions in pattern classification tasks to rough-fuzzy membership functions. Unlike the rough membership value of a pattern, which is sensitive only towards the rough uncertainty associated with the pattern, the rough-fuzzy membership value of the pattern signifies the rough uncertainty as well as the fuzzy uncertainty associated with the pattern. In this paper, various set theoretic properties of the rough-fuzzy membership functions are exploited to characterize the concept of rough-fuzzy sets and to measure the rough-fuzzy ambiguity associated with a given output class. Finally, a few possible applications of the rough-fuzzy membership functions are mentioned
Keywords :
entropy; fuzzy set theory; pattern classification; uncertainty handling; entropy; fuzzy set theory; fuzzy uncertainty; pattern classification; rough uncertainty; rough-fuzzy membership functions; Computer science; Data mining; Entropy; Fuzzy sets; Humans; Marine vehicles; Pattern classification; Rough sets; Shape; Uncertainty;
Conference_Titel :
Fuzzy Systems Proceedings, 1998. IEEE World Congress on Computational Intelligence., The 1998 IEEE International Conference on
Conference_Location :
Anchorage, AK
Print_ISBN :
0-7803-4863-X
DOI :
10.1109/FUZZY.1998.687592
