Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment

Ying Ming Wang; Taha M. S. Elhag

doi:10.1016/j.eswa.2005.09.040

Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment

Ying Ming Wang^*, Taha M. S. Elhag

^*Corresponding author for this work

School of Energy, Geoscience, Infrastructure and Society

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

716 Citations (Scopus)

Abstract

This paper proposes a fuzzy TOPSIS method based on alpha level sets and presents a nonlinear programming (NLP) solution procedure. The relationship between the fuzzy TOPSIS method and fuzzy weighted average (FWA) is also discussed. Three numerical examples including an application to bridge risk assessment are investigated using the proposed fuzzy TOPSIS method to illustrate its applications and the differences from the other procedures. It is shown that the proposed fuzzy TOPSIS method performs better than the other fuzzy versions of the TOPSIS method.

Original language	English
Pages (from-to)	309-319
Number of pages	11
Journal	Expert Systems with Applications
Volume	31
Issue number	2
DOIs	https://doi.org/10.1016/j.eswa.2005.09.040
Publication status	Published - Aug 2006

Keywords

Alpha level sets
Bridge risk assessment
Fuzzy multiple criteria decision making
Fuzzy weighted average
TOPSIS

ASJC Scopus subject areas

General Engineering
Computer Science Applications
Artificial Intelligence

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10.1016/j.eswa.2005.09.040

Cite this

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abstract = "This paper proposes a fuzzy TOPSIS method based on alpha level sets and presents a nonlinear programming (NLP) solution procedure. The relationship between the fuzzy TOPSIS method and fuzzy weighted average (FWA) is also discussed. Three numerical examples including an application to bridge risk assessment are investigated using the proposed fuzzy TOPSIS method to illustrate its applications and the differences from the other procedures. It is shown that the proposed fuzzy TOPSIS method performs better than the other fuzzy versions of the TOPSIS method.",

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AU - Elhag, Taha M. S.

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N2 - This paper proposes a fuzzy TOPSIS method based on alpha level sets and presents a nonlinear programming (NLP) solution procedure. The relationship between the fuzzy TOPSIS method and fuzzy weighted average (FWA) is also discussed. Three numerical examples including an application to bridge risk assessment are investigated using the proposed fuzzy TOPSIS method to illustrate its applications and the differences from the other procedures. It is shown that the proposed fuzzy TOPSIS method performs better than the other fuzzy versions of the TOPSIS method.

AB - This paper proposes a fuzzy TOPSIS method based on alpha level sets and presents a nonlinear programming (NLP) solution procedure. The relationship between the fuzzy TOPSIS method and fuzzy weighted average (FWA) is also discussed. Three numerical examples including an application to bridge risk assessment are investigated using the proposed fuzzy TOPSIS method to illustrate its applications and the differences from the other procedures. It is shown that the proposed fuzzy TOPSIS method performs better than the other fuzzy versions of the TOPSIS method.

KW - Alpha level sets

KW - Bridge risk assessment

KW - Fuzzy multiple criteria decision making

KW - Fuzzy weighted average

KW - TOPSIS

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JO - Expert Systems with Applications

JF - Expert Systems with Applications

IS - 2

ER -

Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment

Abstract

Keywords

ASJC Scopus subject areas

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