TY - JOUR
A2 - Xiang, Wei
AU - Garg, Harish
AU - Edalatpanah, S. A.
AU - El-Morsy, Salwa
AU - El- Wahed Khalifa, Hamiden Abd
PY - 2022
DA - 2022/05/06
TI - On Stability of Continuous Cooperative Static Games with Possibilistic Parameters in the Objective Functions
SP - 6979075
VL - 2022
AB - The objective of this paper is to present a novel idea about the continuous possibilistic cooperative static game (Poss-CCSTG). The proposed Poss-CCSTG is a continuous cooperative static game (CCSTG) in which parameter associated with the cost functions of the players involves the possibility measures. The considered Poss-CCSTG is converted into the crisp α-CCSTG problem by using the α-cuts and hence into the multiple objective nonlinear programming problem. To solve the formulated α-CCSTG problem, an interactive approach is presented in the study with the use of the reference direction method. Further, the Lexicographic weighted Tchebycheff model is derived to obtain the weights. Also, a parametric study corresponding to the α-possibly optimal solution is defined and determined. Finally, a decision-maker can compare their desired solution with the attainable reference point and the weak efficient solution. The presented model is illustrated with a numerical example and its advantages are stated.
SN - 1687-5265
UR - https://doi.org/10.1155/2022/6979075
DO - 10.1155/2022/6979075
JF - Computational Intelligence and Neuroscience
PB - Hindawi
KW -
ER -