Bell-shaped Probabilistic Fuzzy Set for Uncertainties Modeling
نویسندگان
چکیده
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.
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