On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Handling multicriteria fuzzy decision-making problems based on vague set theory
Fuzzy Sets and Systems
Multicriteria fuzzy decision-making problems based on vague set theory
Fuzzy Sets and Systems
Some operations on intuitionistic fuzzy sets
Fuzzy Sets and Systems
Linguistic decision analysis: steps for solving decision problems under linguistic information
Fuzzy Sets and Systems - Special issue on soft decision analysis
Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)
Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)
Generalized conjunction/disjunction
International Journal of Approximate Reasoning
Fuzzy aggregation and averaging for group decision making: A generalization and survey
Knowledge-Based Systems
On generalized Bonferroni mean operators for multi-criteria aggregation
International Journal of Approximate Reasoning
Reasoning with geometric information in digital space
Knowledge-Based Systems
Generalized Bonferroni mean operators in multi-criteria aggregation
Fuzzy Sets and Systems
Algorithms for fuzzy multi expert multi criteria decision making (ME-MCDM)
Knowledge-Based Systems
Intuitionistic Fuzzy Bonferroni Means
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Intuitionistic Fuzzy Aggregation Operators
IEEE Transactions on Fuzzy Systems
Continuous Preference Logic for System Evaluation
IEEE Transactions on Fuzzy Systems
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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As a useful aggregation technique, the Bonferroni mean (BM) can capture the interrelationship between input arguments and has been a hot research topic recently. Based on the classic BM, many BM operators have been proposed and developed, such as the weighted BM, the generalized BM, the intuitionistic fuzzy BM, and so on. However, these BM operators are all based on the averaging mean, which is one of the basic aggregation approaches and focuses on the group opinion and another basic one is the geometric mean, which gives more importance to the individual opinions. To combine with the geometric mean and the BM, in this paper, we propose the geometric BM, the weighted geometric BM, and the generalized weighted geometric BM. These new geometric BMs can reflect the geometric interrelationship between the individual criterion and other criteria and keep the main advantage of BM. Furthermore, we investigate the geometric BMs under the intuitionistic fuzzy environment, which is more common phenomenon in modern life and develop three intuitionistic fuzzy geometric Bonferroni mean operators, i.e., the intuitionistic fuzzy geometric Bonferroni mean (IFGBM), the intuitionistic fuzzy weighted geometric Bonferroni mean (IFWGBM), and the intuitionistic fuzzy generalized weighted geometric Bonferroni mean (IFGWGBM) and study their desirable properties, such as idempotency, commutativity, monotonicity, and boundedness. Finally, on the basis of the IFWGBM and IFGWGBM operators, we propose an approach to multicriteria decision making under the intuitionistic fuzzy environment, and a practical example is provided to illustrate our results. © 2012 Wiley Periodicals, Inc.