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Bell-shaped probabilistic fuzzy set for uncertainties modeling.

Author(s)
Yihua Li College of Transportation and Logistics, Central South University of Forestry & Technology, Changsha 410004, Hunan, China
Wenjing Huang Junior Education Department, Changsha Normal College, Changsha 410100, Hunan, China; School of Mechanical and Electrical Engineering, Central South University, Changsha 410205, Hunan, China
Abstract
The probabilistic fuzzy set (PFS) and the related probabilistic fuzzy logic system (PFLS) is designed for handling the uncertainties in both stochastic and nonstochastic nature. In this paper, a bell-shaped probabilistic fuzzy set is proposed and the related PFLS is constructed and applied to a modeling problem to study stochastic modeling capability. It clearly discloses that the bell-shaped PFS performs better than the previous PFS under certain stochastic circumstance. The bell-shaped probabilistic fuzzy set gives a more general model of fuzzy rules and improving the precision of probabilistic fuzzy logic system. The PFLS using bell-shaped probabilistic fuzzy set improves its potential application in engineering.
Publication Details
Page(s) 875-882
DOI DOI not available
Published Journal: Journal of Theoretical and Applied Information Technology, Volume: 46, Issue: 2, Year: 2012

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