Borel-Cantelli Lemma for Sugeno Measure-Reference-Cited by-同舟云学术

Borel-Cantelli Lemma for Sugeno Measure

Published:2014-09 Issue: Volume:614 Page:367-370
ISSN:1662-7482
Container-title:Applied Mechanics and Materials
language:
Short-container-title:AMM

Author:

Zhang Chun Qin¹,Zhang Hui¹

Affiliation:

1. Hebei University

Abstract

Sugeno measure is a fuzzy measure. In this paper, we derive the Borel-Cantelli lemma for Sugeno measure. This result is a natural extension of the classical Borel-Cantelli lemma to the case where the measure tool is fuzzy. The properties of Sugeno measure are further discussed. Then the Borel-Cantelli lemma will be proven on Sugeno measure space. This work generalizes the research and applications of the Borel-Cantelli lemma.

Publisher

Trans Tech Publications, Ltd.

Link

https://www.scientific.net/AMM.614.367.pdf

Reference12 articles.

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4. Z. Wang and G. Klir, Fuzzy measure theory , New York: Plenum Press, (1992).

5. M. Sugeno, Industrial applications of fuzzy control, New York: Elsevier Science Inc, (1985).

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