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

^*Corresponding author for this work

Tsinghua University

Research output: Contribution to journal › Article › peer-review

225 Citations (Scopus)

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.

Original language	English
Pages (from-to)	527-535
Number of pages	9
Journal	International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Volume	14
Issue number	5
DOIs	https://doi.org/10.1142/S0218488506004175
Publication status	Published - Oct 2006
Externally published	Yes

Keywords

Credibility measure
Fuzzy variable
Possibility measure

Access to Document

10.1142/S0218488506004175

Cite this

@article{7aa28120c85248ef931d2c3116e5c2da,

title = "A Sufficient and necessary condition for credibility measures",

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.",

keywords = "Credibility measure, Fuzzy variable, Possibility measure",

author = "Xiang Li and Baoding Liu",

year = "2006",

month = oct,

doi = "10.1142/S0218488506004175",

language = "English",

volume = "14",

pages = "527--535",

journal = "International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems",

issn = "0218-4885",

publisher = "World Scientific",

number = "5",

}

TY - JOUR

T1 - A Sufficient and necessary condition for credibility measures

AU - Li, Xiang

AU - Liu, Baoding

PY - 2006/10

Y1 - 2006/10

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/33750009770

U2 - 10.1142/S0218488506004175

DO - 10.1142/S0218488506004175

M3 - Article

AN - SCOPUS:33750009770

SN - 0218-4885

VL - 14

SP - 527

EP - 535

JO - International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems

JF - International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems

IS - 5

ER -

A Sufficient and necessary condition for credibility measures

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this