Multi-Attribute Decision Making Method Based on the Satisfaction under Interval-Valued Intuitionistic Fuzzy Environment

Abstract:

In this paper, it discussed multi-attribute decision making (MADM) problems in which the information about attribute weights is incomplete and decision-making information is characterized by interval-valued intuitionistic fuzzy number (IVIFNs), decision-making method is proposed based on the satisfaction. First, we define positive and negative ideal point of the comprehensive attribute values and satisfaction function, and make use of satisfaction function to establish a multi-objective optimization model, apply this model to determine the attribute weight vector, calculate the comprehensive attribute values, rank the alternatives according to the score function and precise function of the comprehensive attribute values. Finally, the examples are given to show that the method is reasonable and effective.

• Periodical: Applied Mechanics and Materials (Volumes 631-632)
• Pages: 1253-1256
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.631-632.1253
• Online since: September 2014
• Authors: Mei Gui, Yue Lin Huang
• Keywords: Interval-Valued Intuitionistic Fuzzy Numbers, Negative Ideal Point, Positive Ideal Point, Satisfaction, Uncertain Multi-Attribute Decision Making

References

[1] Zadeh L A.: Inf. Control Vol. 8 (1965), p.338.

[2] Atanassov K.:F. S.S. Vol. 20 (1986), p.87.

[3] W.G. Wang: Statis Statistics Decis. Vol. 1(2008), p.149(in Chinese).

[4] Z.S. Xu: Control Decis. Vol. 22 (2007), p.215 (in Chinese).

[5] J.Q. Wang: Control Decis. Vol. 21 (2006), p.1253(in Chinese).

[6] Atanassov K T, Gargov G.: F.S.S. Vol. 31 (1989), p.343.

[7] Z.S. Xu: Control Decis. Vol. 221 (2007), p.215(in Chinese).

[8] Z.S. Xu, Control Decis. Vol. 22 (2007), p.215.