PARABOLIC DENSE CLOUDY FUZZY MODEL WITH DEMAND DEPENDENT PRODUCTION RATE IN AN IMPRECISE PRODUCTION PROCESS

In this paper we develop a classical economic production lot size model of a manufactured item in a inadequate production process in which the ordering cost is fixed and shortage is not allowed. In this model the valuation of an item is considered as a parabolic cloudy fuzzy number and production rate is depends on demand. In the previous studies, fuzziness of parameters of the model is presented in the form of fuzzy numbers using the membership function only. Parabolic dense cloudy intuitionistic fuzzy numbers are found to be more generalized than fuzzy numbers and have the capability to express the fuzziness of parameters of the model in a more generalized way using both membership and non-membership functions. The presented model is solved in crisp, fuzzy and Intuitionistic fuzzy setup using proposed generalize and defuzzification method with minimum loss of data. The present model is solved by DBPSO algorithm to determine optimal values. The validity of the proposed model and parameter sensitivity analysis is presented to justify the idea by the numerical analysis.