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Information 2014, 5(4), 587-601; doi:10.3390/info5040587

A New Intuitionistic Fuzzy Entropy and Application in Multi-Attribute Decision Making

1,†
and
1,2,†,*
1
School of Information Management, Jiangxi University of Finance and Economics, Nanchang 330013, China
2
School of Software, Jiangxi University of Science and Technology, Nanchang 330013, China
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Received: 7 August 2014 / Revised: 1 November 2014 / Accepted: 4 November 2014 / Published: 11 November 2014
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Abstract

In this paper, firstly, a new intuitionistic fuzzy (IF) entropy has been put forward, which considered both the uncertainty and the hesitancy degree of IF sets. Through comparing with other entropy measures, the advantage of the new entropy measure is obvious. Secondly, based on the new entropy measure, a new decision making method of a multi-attribute decision making problem was subsequently put forward, in which attribute values are expressed with IF values. In the cases of attribute weights, completely unknown and attribute weights are partially known. Two methods were constructed to determine them. One method is an extension of the ordinary entropy weight method, and the other method is a construction the optimal model according to the minimum entropy principle. Finally, two practical examples are given to illustrate the effectiveness and practicability of the proposed method. View Full-Text
Keywords: fuzzy entropy; multi-attribute group decision making; intuitionistic fuzzy set fuzzy entropy; multi-attribute group decision making; intuitionistic fuzzy set
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. (CC BY 4.0).

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Liu, M.; Ren, H. A New Intuitionistic Fuzzy Entropy and Application in Multi-Attribute Decision Making. Information 2014, 5, 587-601.

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