A Generalized Multi-Attribute Group Decision Making with Intuitionistic Fuzzy Set
The aim of this paper is to introduce a new decision making model called the generalized multi-attribute group decision making (GMAGDM), which provides a very general form that includes multi-attribute decision making (MADM) and multi-attribute group deci
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Abstract The aim of this paper is to introduce a new decision making model called the generalized multi-attribute group decision making (GMAGDM), which provides a very general form that includes multi-attribute decision making (MADM) and multiattribute group decision making (MAGDM) as two special cases. A GMAGDM under intuitionistic fuzzy environment is proposed. The relation between intuitionistic fuzzy set and hesitant fuzzy set is utilized. Then we propose a hesitant fuzzy TOPSIS method for the solution of the mentioned problem. Finally, a numerical example is given to illustrate the flexibility and validity of the proposed approach. Keywords Generalized multi-attribute group decision making MAGDM Intuitionistic fuzzy set Hesitant fuzzy TOPSIS
MADM
1 Introduction Many applications involve the selection or ordering of a group of alternatives based upon their satisfaction to a collection of criteria or a number of experts, which is normally shown as a MADM problem or a MAGDM process. MAGDM Z. Tao H. Chen (&) W. Zou L. Zhou School of Mathematical Science, Anhui University, Hefei, Anhui 230601, China e-mail: [email protected] Z. Tao e-mail: [email protected] W. Zou e-mail: [email protected] L. Zhou e-mail: [email protected] J. Liu School of Business, Anhui University, Hefei, Anhui 230601, China e-mail: [email protected]
Z. Yin et al. (eds.), Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013, Advances in Intelligent Systems and Computing 212, DOI: 10.1007/978-3-642-37502-6_8, Springer-Verlag Berlin Heidelberg 2013
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consists of multiple decision makers (DMs) interacting to reach a final decision, while MADM can be seen as a special condition of MAGDM where there is only one DM. For the sake of comprehensive and as commonly applied in the decision making literatures, the case of MAGDM model is considered in this paper. The case of MADM model is a straightforward simplicity of this methodology. Dozens of studies have shown that there are several aspects to attract people’s attention. They are the formats of decision information, the construction of aggregation methods and the application of the model in real problems. Classically in MAGDM models, much of the early work focus on individual member preference as the legitimate inputs for group choice. Traditionally, the preference information provided by DMs is represented in the same format. But in practical group decision making applications, due to different cultural and educational backgrounds of DMs, it’s necessary to consider different preference formats in MAGDM. Commonly used formats include: preference orderings, utility values, multiplicative preference relations, fuzzy preference relations and linguistic variables, etc. [1–6]. Totally, these types of preference information are shown with scalars. However, in real-world applications, the available information is often uncertain and fuzzy and thus, it’s necessary to use another approach that
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