On the normalization of interval and fuzzy weights

Ying Ming Wang; Taha M. S. Elhag

doi:10.1016/j.fss.2006.06.008

On the normalization of interval and fuzzy weights

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

220 Citations (Scopus)

Abstract

The normalization of interval and fuzzy weights is often necessary in multiple criteria decision analysis (MCDA) under uncertainty, especially in analytic hierarchy process (AHP) with interval or fuzzy judgements. The existing normalization methods based on interval arithmetic and fuzzy arithmetic are found flawed and need to be revised. This paper presents the correct normalization methods for interval and fuzzy weights and offers relevant theorems in support of them. Numerical examples are examined to show the correctness of the proposed normalization methods and their differences from those existing normalization methods.

Original language	English
Pages (from-to)	2456-2471
Number of pages	16
Journal	Fuzzy Sets and Systems
Volume	157
Issue number	18
DOIs	https://doi.org/10.1016/j.fss.2006.06.008
Publication status	Published - 16 Sept 2006

Keywords

Fuzzy weights
Interval weights
Multiple criteria decision making
Normalization

ASJC Scopus subject areas

Logic
Artificial Intelligence

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10.1016/j.fss.2006.06.008

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On the normalization of interval and fuzzy weights

Abstract

Keywords

ASJC Scopus subject areas

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