title: Analytical fuzzy approach to biological data analysis.
abstract: The assessment of the physiological state of an individual requires an objective evaluation of biological data while taking into account both measurement noise and uncertainties arising from individual factors. We suggest to represent multi-dimensional medical data by means of an optimal fuzzy membership function. A carefully designed data model is introduced in a completely deterministic framework where uncertain variables are characterized by fuzzy membership functions. The study derives the analytical expressions of fuzzy membership functions on variables of the multivariate data model by maximizing the over-uncertainties-averaged-log-membership values of data samples around an initial guess. The analytical solution lends itself to a practical modeling algorithm facilitating the data classification. The experiments performed on the heartbeat interval data of 20 subjects verified that the proposed method is competing alternative to typically used pattern recognition and machine learning algorithms.
authors.affiliation: Department of Electronic Information Engineering, Nanchang University, 330031 Nanchang, China.
authors.forename: Weiping
authors.initials: W
authors.lastname: Zhang
authors.affiliation: Mprobe Inc., 94303 Palo Alto, USA.
authors.forename: Jingzhi
authors.initials: J
authors.lastname: Yang
authors.affiliation: Binhai Industrial Technology Research Institute of Zhejiang University, 300301 Tianjin, China.
authors.forename: Yanling
authors.initials: Y
authors.lastname: Fang
authors.affiliation: Binhai Industrial Technology Research Institute of Zhejiang University, 300301 Tianjin, China.
authors.forename: Huanyu
authors.initials: H
authors.lastname: Chen
authors.affiliation: Zhejiang University College of Civil Engineering and Architecture, 310027 Hangzhou, China.
authors.forename: Yihua
authors.initials: Y
authors.lastname: Mao
authors.affiliation: Binhai Industrial Technology Research Institute of Zhejiang University, 300301 Tianjin, China.
authors.forename: Mohit
authors.initials: M
authors.lastname: Kumar
keywords: Fuzzy membership functions; Modeling; Variational optimization