Multi‐attribute decision‐making methods with three‐parameter interval grey number

Multi‐attribute decision‐making methods with three‐parameter interval grey number Purpose – The paper aims to research the multi‐attribute decision‐making in which the attribute values are interval grey numbers and the maximum probability of the value of grey number is known. Design/methodology/approach – First, the authors define deviation degree and dominance relation of three‐parameter interval grey number and get the equivalence between the dominance relation of decision‐making object and the sum of three values of three‐parameter interval grey number. Then, considering the uncertainty of goal weight, the authors construct multi‐index optimization model based on deviation degree and get the goal weight. Findings – The authors prove the rationality and effectiveness of decision‐making methods by examples and give a new thought for grey multi‐attribute decision‐making methods. Originality/value – As a paper research on theory, it offered a new multi‐attribute decision‐making method with three‐parameter interval grey number. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Grey Systems: Theory and Application Emerald Publishing

Multi‐attribute decision‐making methods with three‐parameter interval grey number

Grey Systems: Theory and Application, Volume 3 (3): 11 – Oct 25, 2013

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Publisher
Emerald Publishing
Copyright
Copyright © 2013 Emerald Group Publishing Limited. All rights reserved.
ISSN
2043-9377
DOI
10.1108/GS-08-2013-0021
Publisher site
See Article on Publisher Site

Abstract

Purpose – The paper aims to research the multi‐attribute decision‐making in which the attribute values are interval grey numbers and the maximum probability of the value of grey number is known. Design/methodology/approach – First, the authors define deviation degree and dominance relation of three‐parameter interval grey number and get the equivalence between the dominance relation of decision‐making object and the sum of three values of three‐parameter interval grey number. Then, considering the uncertainty of goal weight, the authors construct multi‐index optimization model based on deviation degree and get the goal weight. Findings – The authors prove the rationality and effectiveness of decision‐making methods by examples and give a new thought for grey multi‐attribute decision‐making methods. Originality/value – As a paper research on theory, it offered a new multi‐attribute decision‐making method with three‐parameter interval grey number.

Journal

Grey Systems: Theory and ApplicationEmerald Publishing

Published: Oct 25, 2013

Keywords: Grey models for decision making; Grey control systems

References

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