International Journal of Computational Intelligence Systems

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Volume 4, Issue 2, April 2011, Pages 164 - 173

Grey Relational Analysis Method for Intuitionistic Fuzzy Multiple Attribute Decision Making with Preference Information on Alternatives

Authors
Guiwu Wei, Hongjun Wang, Rin Lin, Xiaofei Zhao
Corresponding Author
Guiwu Wei
Received 2 August 2009, Accepted 10 December 2010, Available Online 1 April 2011.
DOI
10.2991/ijcis.2011.4.2.5How to use a DOI?
Keywords
Multiple attribute decision-making; Grey relational analysis (GRA); Intuitionistic fuzzy numbers; interval-valued intuitionistic fuzzy numbers; Incomplete weight information, Preference
Abstract

The aim of this paper is to investigate intuitionistic fuzzy multiple attribute decision making problems with preference information on alternatives, in which the information on attribute weights is completely unknown and the attribute values and preference information on alternatives take the form of intuitionistic fuzzy numbers. In order to get the weight vector of the attribute, we establish an optimization model based on the basic ideal of traditional grey relational analysis (GRA) method, by which the attribute weights can be determined. Then, based on the traditional GRA method, calculation steps for solving intuitionistic fuzzy multiple attribute decision-making problems with incompletely known weight information are given. The degree of grey relation between each alternative and subjective preference is defined to determine the ranking order of all alternatives. The method can sufficiently utilize the objective information, and meet decision makers’ subjective preference, can also be easily performed on computer. Furthermore, we shall extend the developed models and procedures to solve the interval-valued intuitionistic fuzzy multiple attribute decision making problems with preference information on alternatives. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Copyright
© 2011, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
4 - 2
Pages
164 - 173
Publication Date
2011/04/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.2011.4.2.5How to use a DOI?
Copyright
© 2011, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Guiwu Wei
AU  - Hongjun Wang
AU  - Rin Lin
AU  - Xiaofei Zhao
PY  - 2011
DA  - 2011/04/01
TI  - Grey Relational Analysis Method for Intuitionistic Fuzzy Multiple Attribute Decision Making with Preference Information on Alternatives
JO  - International Journal of Computational Intelligence Systems
SP  - 164
EP  - 173
VL  - 4
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2011.4.2.5
DO  - 10.2991/ijcis.2011.4.2.5
ID  - Wei2011
ER  -