International Journal of Artificial Intelligence and Soft Computing
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International Journal of Artificial Intelligence and Soft Computing (1 paper in press)
Fuzzy production-inventory models with shortages via ranking technique and credibility measure by Arindam Roy Abstract: In this paper, a production-inventory model for a defective / deteriorating item is developed with imprecise
inventory cost parameters. Here we have used two defuzzification techniques, (i) valuation/weighting function of Yager's ranking method, (ii) credibility measure, a compromise between optimistic and pessimistic measures for the deterministic transformation of the proposed model. A weighting function is added to Yager's ranking method so that it can represent the decision preference to solve a production inventory model. The proposed fuzzy inventory models are reduced to the crisp ones applying credibility measure. The problems are formulated as cost minimization problems and solved using a gradient-based non-linear programming technique. Finally, the models are illustrated through a numerical experiment with triangular fuzzy cost parameters. The results from two methods are compared and sensitivity analysis for different values of cost parameters and confidence levels (in credibility measure) is
presented. Keywords: Decision preferencernparameter; Weighting function; Credibility measure.