α-consensus Value of Cooperative Game with Intuitionistic Fuzzy Payment

Abstract

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.

Research on benefit allocation based on multi-weight H-Shapley value: A case study of express logistics sharing

“…Second, in terms of fuzzy cost allocation or benefit allocation. Jiangxia Nan et al [ 15 ] extended fuzzy alliance cooperative games to intuitionistic fuzzy alliance cooperative games and solved the Shapley values of intuitionistic fuzzy alliance cooperative games with interval Choquet integrals. Zhengxing Zou et al [ 16 ] studied the generalized Shapley function for cooperative games with fuzzy number payoffs based on generalized Shapley value research.…”