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

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 infor...

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Bibliographic Details
Published in:TheScientificWorld 2013-01, Vol.2013 (2013), p.1-6
Main Author: Bai, Zhi-yong
Format: Article
Language:English
Subjects:
Decision making
Decision support systems
Fuzzy Logic
Fuzzy sets
Mathematical analysis
Models, Theoretical
Multiple criteria decision making
Multiple criterion
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Summary: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.
ISSN:2356-6140
1537-744X
DOI:10.1155/2013/879089