Mathematics and Statistics Vol. 3(4), pp. 95 - 100
DOI: 10.13189/ms.2015.030403
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Grey-correlation Multi-attribute Decision-making Method Based on Intuitionistic Trapezoidal Fuzzy Numbers

Ye-zhi Xiao ^1,*, Sha Fu ^2
1 Department of Foreign Language, Hunan University of Finance and Economics, China
² Department of Information Management, Hunan University of Finance and Economics, China

ABSTRACT

This study proposes a grey-correlation multi-attribute decision-making method based on intuitionistic trapezoidal fuzzy numbers to solve the problem that the attribute weight depends on the various statuses and the attribute values offer multi-attribute decision making in the form of intuitionistic trapezoidal fuzzy numbers. Firstly, this paper gives the definitions of intuitionistic trapezoidal fuzzy numbers, and the distance formula. Then, the grey-correlation coefficient about the intuitionistic trapezoidal fuzzy numbers is obtained through grey-correlation analysis. The correlation degree between different options is obtained through calculation based on the correlation coefficient. With that, the options are ranked based on the values to identify the optimal option. Finally, the result of analysis of examples demonstrates the feasibility and effectiveness of the proposed method.

KEYWORDS
Intuitionistic Trapezoidal Fuzzy Numbers, Grey-correlation Analysis, Multi-attribute Decision Making, Hamming Distance, Grey-correlation Coefficient

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Ye-zhi Xiao , Sha Fu , "Grey-correlation Multi-attribute Decision-making Method Based on Intuitionistic Trapezoidal Fuzzy Numbers," Mathematics and Statistics, Vol. 3, No. 4, pp. 95 - 100, 2015. DOI: 10.13189/ms.2015.030403.

(b). APA Format:
Ye-zhi Xiao , Sha Fu (2015). Grey-correlation Multi-attribute Decision-making Method Based on Intuitionistic Trapezoidal Fuzzy Numbers. Mathematics and Statistics, 3(4), 95 - 100. DOI: 10.13189/ms.2015.030403.