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The Scientific World Journal
Volume 2013, Article ID 879089, 6 pages
Research Article

An Interval-Valued Intuitionistic Fuzzy TOPSIS Method Based on an Improved Score Function

College of Arts and Design, Beijing Forestry University, 35 Tsinghua East Road, Beijing 100083, China

Received 17 September 2013; Accepted 27 November 2013

Academic Editors: T. M. Hoang, N. Hussain, and S.-Q. Wang

Copyright © 2013 Zhi-yong Bai. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper proposes an improved score function for the effective ranking order of interval-valued intuitionistic fuzzy sets (IVIFSs) and an interval-valued intuitionistic fuzzy TOPSIS method based on the score function to solve multicriteria decision-making problems in which all the preference information provided by decision-makers is expressed as interval-valued intuitionistic fuzzy decision matrices where each of the elements is characterized by IVIFS value and the information about criterion weights is known. We apply the proposed score function to calculate the separation measures of each alternative from the positive and negative ideal solutions to determine the relative closeness coefficients. According to the values of the closeness coefficients, the alternatives can be ranked and the most desirable one(s) can be selected in the decision-making process. Finally, two illustrative examples for multicriteria fuzzy decision-making problems of alternatives are used as a demonstration of the applications and the effectiveness of the proposed decision-making method.