A Sufficient and necessary condition for credibility measures

Xiang Li; Baoding Liu

doi:10.1142/S0218488506004175

A Sufficient and necessary condition for credibility measures

Xiang Li^*
, Baoding Liu

^*此作品的通讯作者

Tsinghua University

科研成果: 期刊稿件 › 文章 › 同行评审

223 引用（Scopus）

摘要

Possibility measures and credibility measures are widely used in fuzzy set theory. Compared with possibility measures, the advantage of credibility measures is the self-duality property. This paper gives a relation between possibility measures and credibility measures, and proves a sufficient and necessary condition for credibility measures. Finally, the credibility extension theorem is shown.

源语言	英语
页（从-至）	527-535
页数	9
期刊	International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
卷	14
期	5
DOI	https://doi.org/10.1142/S0218488506004175
出版状态	已出版 - 10月 2006
已对外发布	是

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abstract = "Possibility measures and credibility measures are widely used in fuzzy set theory. Compared with possibility measures, the advantage of credibility measures is the self-duality property. This paper gives a relation between possibility measures and credibility measures, and proves a sufficient and necessary condition for credibility measures. Finally, the credibility extension theorem is shown.",

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AB - Possibility measures and credibility measures are widely used in fuzzy set theory. Compared with possibility measures, the advantage of credibility measures is the self-duality property. This paper gives a relation between possibility measures and credibility measures, and proves a sufficient and necessary condition for credibility measures. Finally, the credibility extension theorem is shown.

KW - Credibility measure

KW - Fuzzy variable

KW - Possibility measure

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DO - 10.1142/S0218488506004175

M3 - Article

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A Sufficient and necessary condition for credibility measures

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