Methods for strategic decision-making problems with immediate probabilities in intuitionistic fuzzy setting

Guiwu Wei · José M. Merigó

77 citations0/0 files storedScientia Iranica

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Multi-Criteria Decision Making Optimization and Mathematical Programming Fuzzy and Soft Set Theory

Abstract

With respect to decision-making problems by using probabilities, immediate probabilities and information that can be represented with intuitionistic fuzzy information or interval-valued intuitionistic fuzzy information, some new decision analysis are proposed. Firstly, some operational laws, score function and accuracy function of intuitionistic fuzzy values or interval-valued intuitionistic fuzzy values are introduced. Then, we have developed some new probability aggregation operators with intuitionistic fuzzy information: Probability Intuitionistic Fuzzy Weighted Average (P-IFWA) operator, Immediate Probability Intuitionistic Fuzzy Ordered Weighted Average (IP-IFOWA) operator, Probability Intuitionistic Fuzzy Ordered Weighted Average (P-IFOWA) operator, Probability Intuitionistic Fuzzy Weighted Geometric (P-IFWG) operator, Immediate Probability Intuitionistic Fuzzy Ordered Weighted Geometric (IP-IFOWG) operator and Probability Intuitionistic Fuzzy Ordered Weighted Geometric (P-IFOWG) operator and applied these operators to decision-making problem about the selection of the optimal production strategy. Furthermore, we shall extend the developed models and procedures to solve probabilistic decision-making problems with interval-valued intuitionistic fuzzy information. Finally, we give an illustrative example about selection of strategies to verify the developed approach and to demonstrate its feasibility and practicality.

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References

1965Fuzzy sets 1996Fuzzy sets 1986Intuitionistic fuzzy sets 1988On ordered weighted averaging aggregation operators in multicriteria decisionmaking 1989Interval valued intuitionistic fuzzy sets 1955Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility 2007Intuitionistic Fuzzy Aggregation Operators 2006Some geometric aggregation operators based on intuitionistic fuzzy sets

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