α-consensus Value of Cooperative Game with Intuitionistic Fuzzy Payment

Jiangxia Nan, Jing Guan, Maojun Zhang · International Journal of Computational Intelligence Systems · 2020

This paper studies the 𝛼-consensus value of a cooperative game with payoffs of triangular intuitionistic fuzzy numbers and gives the formation mechanism of the 𝛼-consensus value, as well as some properties.Using the extended Hukuhara difference of triangular intuitionistic fuzzy numbers, the 𝛼-consensus value of the triangular intuitionistic fuzzy cooperative game is obtained.Furthermore, we study the condition of the 𝛼-consensus value satisfying the individual rationality, which makes the 𝛼-consensus value of the cooperative game more practical in real problems.Finally, a numerical example is given to illustrate the validity and applicability of the 𝛼-consensus value of the triangular intuitionistic fuzzy cooperative game proposed in this paper.

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