Decision-making method using interval-valued intuitionistic fuzzy cross-entropy based on the weighted reduction intuitionistic fuzzy sets

被引：0

作者：

机构：

[1] Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, Zhejiang Province

来源：

Ye, Jun | 1600年 / Multi-Science Publishing Co. Ltd, United States卷 / 08期

关键词：

Decision making; Interval-valued intuitionistic fuzzy cross-entropy; Interval-valued intuitionistic fuzzy set; Reduction intuitionistic fuzzy set; Standard deviation;

D O I：

10.1260/1748-3018.8.3.301

中图分类号：

学科分类号：

摘要：

This study presents an interval-valued intuitionistic fuzzy cross-entropy measure based on the weighted reduction intuitionistic fuzzy sets of intervalvalued intuitionistic fuzzy sets with adjustable weight vectors as an extension of existing fuzzy cross-entropy measures. Then a decision-making method is developed based on the proposed cross-entropy measure with the optimal weight vectors. In decision making, we establish an optimal model based on the maximum standard deviation of the measure values of the alternatives to search for the optimal weight vectors in the adjustable weight vectors. According to the optimal weight vectors, we can obtain the interval-valued intuitionistic fuzzy cross entropy between the ideal alternative and an alternative to rank the alternatives and to determine the best one. Finally, two illustrative examples are employed to show the feasibility of the proposed method in practical applications, and then the comparison of the proposed method with existing relevant methods is given to demonstrate that the proposed method is the further improvement and generalization of the existing relative methods. © 2014 Journal of Algorithms & Computational Technology. All Rights Reserved.

引用

页码：301 / 318

页数：17

共 19 条

[1]

Zadeh L.A., Fuzzy Sets, Information and Control, 8, pp. 338-353, (1965)

[2]

Atanassov K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, pp. 87-96, (1986)

[3]

Atanassov K., Gargov G., Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 31, pp. 343-349, (1989)

[4]

Tan C., Zhang Q., Fuzzy multiple attribute decision making based on intervalvalued intuitionistic fuzzy sets, Proceeding of the 2006 IEEE International Conference on System, Man, and Cybernetics, pp. 1404-1407, (2006)

[5]

Xu Z.S., Chen J., An approach to group decision making based on interval-valued intuitionistic fuzzy judgment matrices, System Engineer-Theory and Practice, 27, 4, pp. 126-133, (2007)

[6]

Xu Z.S., Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making, Control and Decision, 22, 2, pp. 215-219, (2007)

[7]

Ye J., Multicriteria fuzzy decision-making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment, Expert Systems with Applications, 36, pp. 6899-6902, (2009)

[8]

Tan C., A multi-criteria interval-valued intuitionistic fuzzy group decision making with choquet integral-based TOPSIS, Expert Systems with Applications, 38, pp. 3023-3033, (2011)

[9]

Ye J., Fuzzy cross entropy of interval-valued intuitionistic fuzzy sets and its optimal decision-making method based on the weights of alternatives, Expert Systems with Applications, 38, pp. 6179-6183, (2011)

[10]

Ye J., Multicriteria decision-making method using the dice similarity measure based on the reduct intuitionistic fuzzy sets of interval-valued intuitionistic fuzzy sets, Applied Mathematical Modelling, 36, pp. 4466-4472, (2012)

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