Title :
Obtaining Fuzzy Sets using Mass Assignment Theory - Consistency with Interpolation -
Author :
Ralescu, Anca ; Visa, Sofia
Author_Institution :
Univ. of Cincinnati, Cincinnati
Abstract :
The problem of data summarization as fuzzy sets from frequency distributions is presented. The approach makes use of the mass assignment theory as a framework for unification of fuzzy sets and probability distributions. The approach is consistent with the interpolation of the membership function needed to infer membership degrees for data points previously not seen.
Keywords :
data analysis; fuzzy set theory; interpolation; probability; data summarization; frequency distribution; fuzzy set theory; mass assignment theory; membership function interpolation; probability distribution; Bridges; Frequency; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Interpolation; Probability distribution; Terminology; USA Councils;
Conference_Titel :
Fuzzy Information Processing Society, 2007. NAFIPS '07. Annual Meeting of the North American
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-1213-7
Electronic_ISBN :
1-4244-1214-5
DOI :
10.1109/NAFIPS.2007.383879
