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ON LIU'S INFERENCE RULE FOR UNCERTAIN SYSTEMS

XIN GAO

School of Mathematics and Physics, North China Electric Power University, Beijing, 102206, China

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YUAN GAO

Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China

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DAN A. RALESCU

Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025, USA

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https://doi.org/10.1142/S0218488510006349Cited by:66 (Source: Crossref)

Abstract

Liu's inference is a process of deriving consequences from uncertain knowledge or evidence via the tool of conditional uncertainty. Using membership functions, this paper derives some expressions of Liu's inference rule for uncertain systems. This paper also discusses Liu's inference rule with multiple antecedents and with multiple if-then rules.

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