NDLI: Methods for generating multiplicatively normalized interval and fuzzy weights

Content Provider	IEEE Xplore Digital Library
Author	Wang Xiaoyan
Copyright Year	2012
Description	Author affiliation: Department of Automation, Xiamen University, China (Wang Xiaoyan)
Abstract	In the interval and fuzzy multiple attribute decision making it is very important to estimate the corresponding set of normalized weights from the interval and fuzzy pairwise comparison matrix. Most existing works computing normalized weights which are under the condition of the conventional additive weights (sum is one). This paper, from another perspective, introduces the concept of multiplicative interval and fuzzy weights and proposes the corresponding normalization methods for multiplicative interval and fuzzy weights. Based on these definitions and theorems, a new eigenvalue method, where weights satisfy multiplicative preference relations rather than additive, is developed for obtaining multiplicatively normalized interval weights and subsequently the global weights from interval pairwise comparison matrices. Finally, numerical examples are examined to demonstrate proposed methods.
Starting Page	541
Ending Page	546
File Size	270060
Page Count	6
File Format	PDF
ISBN	9781457720246
e-ISBN	9781457720253
DOI	10.1109/ICSSSM.2012.6252296
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-02
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Gold Additives multiplicative interval and fuzzy weights Decision making normalization Estimation interval comparison matrix multiple criteria decision making Vectors Eigenvalues and eigenfunctions Equations eigenvector
Content Type	Text
Resource Type	Article

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