A novel application of similarity index for solving an EPQ model under linguistic term fuzzy matrix game
本文在易变质产品生产库存模型中，利用语言模糊集构建利润最大化矩阵博弈，通过相似度指数和模糊二分指数算子求解，使平均库存利润提升28.54%至89.89%。
This article deals with the novel application of game theory utilizing fuzzy linguistic term set in a deteriorative production inventory model. First of all, a crisp deteriorative economic production quantity (EPQ) model is developed. Then considering the fuzzy flexibility of the cost and demand vectors of the model we construct a profit-maximizing fuzzy linguistic term matrix game problem under suitable constraints. To solve this problem, we utilize dominance rule to reduce a 2 × 2 matrix game through the application of similarity index for linguistic term fuzzy sets. However, to capture the uncertainty by means of fuzzy linguistic term sets De, S.K. invented a new fuzzy dichotomous index operator (DIO) named De’s DIO (DDIO) associated with the reduced 2 × 2 fuzzy matrix game alone. The model is solved under several existing methods like traditional matrix dominance, compromise solution, and bi-objective optimization technique, etc., to validate the model via numerical simulation. It is also observed that for the fuzzy dominance (using DDIO) model, the average inventory profit is enhanced by on and from +28.54% to +89.89% with respect to the current state-of-the-arts. Finally, graphical discussions are made followed by a conclusion and scope of future work.