Soft Computing

, Volume 21, Issue 9, pp 2395–2405 | Cite as

A direct projection-based group decision-making methodology with crisp values and interval data

Methodologies and Application


This paper presents a methodology for group decision-making problems based on a new normalized projection measure, in which the attribute values are provided by decision makers in hybrid form with crisp values and interval data. According to the idea of the technique for order preference by similarity to ideal solution, the separations between each alternative decision and its ideal decisions are established based on the normalized projection measurement. There are no aggregation and transformation between crisp values and interval data in this model. The alternatives are ranked directly based on their relative closeness. An experimental analysis is given to illustrate the feasibility and practicability of introduced method.


Group decision-making Hybrid information Interval data Projection measurement Partner selection 



The authors are very grateful to the Managing Editor, Dr. Aniello Castiglione, and the anonymous reviewers for their insightful and constructive comments and suggestions that have led to an improved version of this paper.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.College of ScienceGuangdong Ocean UniversityZhanjiangChina
  2. 2.LibraryGuangdong Ocean UniversityZhanjiangChina

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