Journal
KNOWLEDGE AND INFORMATION SYSTEMS
Volume 34, Issue 3, Pages 653-669Publisher
SPRINGER LONDON LTD
DOI: 10.1007/s10115-012-0496-7
Keywords
Multi-attribute group decision making (MAGDM); Fuzzy soft set; Interval-valued fuzzy soft set; Incomplete weight information
Funding
- National Science Foundation of China [71171209/G011203]
- Ministry of education, humanities social sciences fund plan projects, China [10XJA630010]
Ask authors/readers for more resources
In this paper, we develop a new method for multiple attributes group decision-making problems under uncertain environment, in which the information about attribute weights is incompletely known or completely unknown, and each maker's decision information is expressed by an interval-valued fuzzy soft set. Moreover, this paper takes account of the decision makers' attitude toward risk. In order to get the weight vector of the attributes, we construct the score matrix of the final fuzzy soft set. From the score matrix and the given attribute weights information, we establish an optimization model to determine the weights of attributes. For the special situations where the information about attribute weights is completely unknown, we establish another optimization model. By solving this model, we get a simple and exact formula, which can be used to determine the attribute weights. According to these models, a method based on interval-valued fuzzy soft set, which considers the decision makers' risk attitude under uncertain environment, is given to rank the alternatives. Finally, a numerical example is used to illustrate the applicability of the proposed approach.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available