Transmission of membership function under fuzzy mapping

doi:10.7523/j.issn.2095-6134.2012.3.003

›› 2012, Vol. ›› Issue (3): 300-306.DOI: 10.7523/j.issn.2095-6134.2012.3.003

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Transmission of membership function under fuzzy mapping

FU Xiao-Yan¹, SHEN Ji-Hong²

1. College of Automation, Harbin Engineering University, Harbin 150001, China;
2. College of Science, Harbin Engineering University, Harbin 150001, China

Received:2010-11-03 Revised:2011-04-19 Online:2012-05-15

Abstract

Abstract: When the fuzzy inverse mapping is one-to-many and the fuzzy mapping is simple function, an algorithm to calculate membership function is given for improving the transmission of fuzziness. Under certain assumptions, we propose the transmission theorem of fuzziness of general multivariable function, and the proof is given. Using the calculation formula of marginal probability for reference, we show how to calculate one single variable membership function when the multivariable membership function is given, and the proof is also given.

Key words: membership function, one variable fuzzy extension principle, multivariable fuzzy extension principle, fuzzy mapping

CLC Number:

O159

FU Xiao-Yan, SHEN Ji-Hong. Transmission of membership function under fuzzy mapping[J]. , 2012, (3): 300-306.

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Transmission of membership function under fuzzy mapping

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