Intuitionistic fuzzy multiple attribute group decision making based on projection method

In decision making problems there may be cases in which decision makers do not have an in-depth knowledge of the problem to be solved. In such cases, more and more research has been conducted within a fuzzy or intuitionistic fuzzy framework. In this paper, we investigate the group decision making pr...

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Bibliographic Details
Main Authors: Zhoujing Wang, Jianhui Xu, Weize Wang
Format: Conference Proceeding
Language:English
Subjects:
Aggregates
Aggregation
Automation
Context
Decision making
Fractional Programming Models
Fuzzy set theory
Fuzzy sets
Group Decision Making
Intuitionistic Fuzzy Numbers (IFNs)
Investments
Projection
Public relations
Uncertainty
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Summary:In decision making problems there may be cases in which decision makers do not have an in-depth knowledge of the problem to be solved. In such cases, more and more research has been conducted within a fuzzy or intuitionistic fuzzy framework. In this paper, we investigate the group decision making problems in which all the evaluation information provided by the decision makers is characterized by intuitionistic fuzzy decision matrices where each of the elements is expressed as intuitionistic fuzzy numbers (IFNs), and both weights of attributes and decision makers weights are incompletely known, which may be constructed by IFNs. By employing a projection model, fractional programming models are developed to determine the closeness interval values of alternatives. The interval values are subsequently used to aggregate into an overall interval value for each alternative, and the likelihood is applied to ranking and selection of alternatives. Feasibility and effectiveness of the developed models are illustrated with an example of investment decision problem.
ISSN:1948-9439
1948-9447
DOI:10.1109/CCDC.2009.5191812