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A Projection Method for Multiple Attribute Group Decision Making with Intuitionistic Fuzzy Information
Volume 24, Issue 3 (2013), pp. 485–503
Shouzhen Zeng   Tomas Baležentis   Ji Chen   Gangfei Luo  

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https://doi.org/10.15388/Informatica.2013.407
Pub. online: 1 January 2013      Type: Research Article     

Received
1 September 2012
Accepted
1 April 2013
Published
1 January 2013

Abstract

The aim of this paper is to investigate intuitionistic fuzzy multiple attribute group decision making problems where the attribute values provided by experts are expressed in intuitionistic fuzzy numbers, and the weight information about the experts is to be determined. We present a new method to derive the weights of experts and rank the preference order of alternatives based on projection models. We first derive the weights of the decision makers according to the projection of the individual decision on the ideal decision. The expert has a large weight if his evaluation value is close to the ideal decision, and has a small weight if his evaluation value is far from the ideal decision. Then, based on the weighted projection of the alternatives on the intuitionistic fuzzy ideal solution (IFIS), we develop a straightforward and practical algorithm to rank alternatives. Furthermore, we extend the developed model and algorithm to the multiple attribute group decision making problems with interval-valued intuitionistic fuzzy information. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

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Keywords
intuitionistic fuzzy set interval-valued intuitionistic fuzzy set projection method multiple attribute group decision making

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INFORMATICA

  • Online ISSN: 1822-8844
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