Group decision-making shows a critical job while designating with dynamic issues with the quick development of society. The first assurance of this paper is to show the sensibility of some Group decision-making on the Signlesslaplacian energy of an intuitionistic fuzzy diagrams. we present numerical models, including Alliance Partner Selection of an Automobile Company , flexibly chain associations in the construction business and Evaluation of the schemes for development of agriculture and farmers’s welfare to light up the introductions of our arranged ideas in result making to rank the best one.