Cost optimization inventory model for deteriorating items with trapezoidal demand rate under completely backlogged shortages in crisp and fuzzy environment

Recently, various deterministic inventory models were developed for deteriorating items with the uniform demand pattern (either increasing or decreasing) throughout cycle. However, such types of are not suitable many real business problems. In particular, patterns steady models, ordinarily, rises first, then it becomes static and finally decreases, demands can be portrayed by considering trapezoidal functions. Moreover, costs associated become imprecise due to several socio-economical factors. As a result, optimal solution obtained classical model may fit actual scenario. Keeping this in view, we develop here an having type function both crisp fuzzy environments three possible cases shortages which completely backlogged. Furthermore, view comparative study scenarios, different data sets constraints examined results. Also, is observed that results more appropriate real-world Finally, order strengthen present investigation, managerial insight fluctuation parameters presented analytically via sensitivity analysis.