Title :
Fuzzy-rough membership functions
Author :
Sarkar, Manish ; Yegnanarayana, B.
Author_Institution :
Dept. of Comput. Sci. & Eng., Indian Inst. of Technol., Madras, India
Abstract :
This paper generalizes the concepts of rough membership functions in pattern classification tasks to fuzzy-rough membership functions. Unlike the rough membership value of a pattern, which is sensitive only towards the rough uncertainty associated with the pattern, the fuzzy-rough membership value of the pattern signifies the rough uncertainty as well as the fuzzy uncertainty associated it. In absence of fuzziness, the fuzzy-rough membership functions reduce to the existing rough membership functions. Moreover, under certain conditions the fuzzy-rough membership functions are equivalent to fuzzy membership functions or characteristic functions. In this paper, various set theoretic properties of the fuzzy-rough membership functions are exploited to characterize the concept of fuzzy-rough sets. Some measures of the fuzzy-rough ambiguity associated with a given output class are also discussed
Keywords :
fuzzy set theory; pattern classification; rough set theory; characteristic functions; fuzzy-rough ambiguity; fuzzy-rough membership functions; pattern classification; rough uncertainty; set theoretic properties; Data mining; Feature extraction; Fuzzy sets; Government; Humans; Pattern classification; Psychology; Rough sets; Shape; Uncertainty;
Conference_Titel :
Systems, Man, and Cybernetics, 1998. 1998 IEEE International Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4778-1
DOI :
10.1109/ICSMC.1998.728196
