The aim of this article is an effort to initiate the cloudy fuzzy number in developing classical economic production lot-size model of an item produced in scrappy production process with fixed ordering cost and without shortages. Here, the market value of an item is cloudy fuzzy number and the production rate is demand dependent. In general, fuzziness of any parameter remains fixed over time, but in practice, fuzziness of parameter begins to reduce as time progresses because of collected experience and knowledge that motivates to take cloudy fuzzy number. The model is solved in a crisp, general fuzzy and cloudy fuzzy environment using Yager’s index method and De and Beg’s ranking index method and comparisons are made for all cases and better results obtained in the cloudy fuzzy model. The model is solved by dominance based Particle Swarm Optimization algorithm to obtain optimal decision and numerical examples and sensitivity analyses are presented to justify the notion.

本文的目的是在开发具有固定订购成本且没有短缺的零碎生产过程中生产的物品的经典经济生产批量模型中尝试启动多云模糊数。在这里，项目的市场价值是多云模糊数，生产率取决于需求。一般来说，任何参数的模糊度都会随着时间的推移而保持不变，但在实践中，由于收集到的经验和知识促使采用多云模糊数，参数的模糊度随着时间的推移开始降低。采用Yager指数法和De和Beg排序指数法在清晰、一般模糊和多云模糊环境下对模型进行求解，并对所有情况进行了比较，多云模糊模型得到了较好的结果。