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

By Guiwu Wei, José M. Merigó. 2012

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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.

Subfields: Control and Systems Engineering, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/ce19babf51fe1701941443ce65329d35a72348cc