Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A novel grey relational model based on grey number sequences

A novel grey relational model based on grey number sequences Purpose – This paper aims to construct a novel grey relational model based on grey number sequences and to solve the problems which exist in traditional grey relational models, in which the uncertain information cannot be described. Design/methodology/approach – Based on the definition of traditional grey relational models, considering the limited information and knowledge, the algorithm of grey numbers was combined with the grey relational model. A general formula of grey operations and grey distance is defined. A novel grey relational model based on grey number sequences, named grey geometrical relational model, is proposed according to the definition of grey distance. Finally, several properties including parallel, multiple and order‐keeping about the proposed model are discussed. Findings – The results show that the novel grey relational model satisfies the properties properly. It is useful to calculate the relational degree of two different grey number sequences. And the process of calculating is easier than traditional grey relational models. Practical implications – The method exposed in the paper can be used to calculate every two sequences. The method can also be used to rank sequences of more than two. Originality/value – The paper succeeds in constructing a novel grey relational model. The properties of novel model are studied and it is a new development in grey systems theory undoubtedly. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Grey Systems: Theory and Application Emerald Publishing

A novel grey relational model based on grey number sequences

Loading next page...
 
/lp/emerald-publishing/a-novel-grey-relational-model-based-on-grey-number-sequences-jvyIFsbQhc
Publisher
Emerald Publishing
Copyright
Copyright © 2011 Emerald Group Publishing Limited. All rights reserved.
ISSN
2043-9377
DOI
10.1108/20439371111163747
Publisher site
See Article on Publisher Site

Abstract

Purpose – This paper aims to construct a novel grey relational model based on grey number sequences and to solve the problems which exist in traditional grey relational models, in which the uncertain information cannot be described. Design/methodology/approach – Based on the definition of traditional grey relational models, considering the limited information and knowledge, the algorithm of grey numbers was combined with the grey relational model. A general formula of grey operations and grey distance is defined. A novel grey relational model based on grey number sequences, named grey geometrical relational model, is proposed according to the definition of grey distance. Finally, several properties including parallel, multiple and order‐keeping about the proposed model are discussed. Findings – The results show that the novel grey relational model satisfies the properties properly. It is useful to calculate the relational degree of two different grey number sequences. And the process of calculating is easier than traditional grey relational models. Practical implications – The method exposed in the paper can be used to calculate every two sequences. The method can also be used to rank sequences of more than two. Originality/value – The paper succeeds in constructing a novel grey relational model. The properties of novel model are studied and it is a new development in grey systems theory undoubtedly.

Journal

Grey Systems: Theory and ApplicationEmerald Publishing

Published: Aug 19, 2011

Keywords: Grey relational analysis; Grey system theory; Grey geometrical relational degree; Closeness; Affined order‐preserving; Modelling; Geometry

References