Multi-objective linguistic-neutrosophic matrix game and its applications to tourism management

Game theory plays an important role in numerous decision-oriented real-life problems. Nowadays, many such problems are basically characterized by various uncertainties. Uncertainties come to happen due decision makers' collection of data, intuition, assumption, judgement, behaviour, evaluation and lastly, the problem itself. Fuzzy concept with membership degree made initialization towards treatment uncertainty, but it was not enough. Intuitionistic fuzzy evolved concerning both non-membership degrees failed express reality more accurately. Then, neutrosophy logic developed a new say, indeterminacy besides degrees. Multi-objective optimization is area multiple-criteria making related mathematical involving than one objective function be optimized at same time. Game (matrix game) imprecise, vague information, like neutrosophic, can formed multiple functions. We develop analyse matrix game objectives, solve under single-valued neutrosophic environment linguistic approach. The main achievement our study that we here introduce problem-oriented example justify designed methodologies successful implications using data rather crisp as used previous researches.