2024/08/04 by Irina Georgescu, Georgescu, Irina
Business, Management and Accounting · Decision Sciences · Mathematics · #Advanced Queuing Theory Analysis #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #FOS: Economics and business #FOS: Mathematics #Optimization and Control (math.OC) #Point processes and geometric inequalities #Probability and Risk Models #Theoretical Economics (econ.TH)
paper · pdf · doi:10.48550/arxiv.2408.02700
openalex publication_date 2024/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The credibility theory was introduced by B. Liu as a new way to describe the fuzzy uncertainty. The credibility measure is the fundamental notion of the credibility theory. Recently, L.Yang and K. Iwamura extended the credibility measure by defining the parametric measure mλ (λ is a real parameter in the interval [0,1] and for λ= 1/2 we obtain as a particular case the notion of credibility measure). By using the mλ-measure, we studied in this paper a risk neutral multi-item inventory problem. Our construction generalizes the credibilistic inventory model developed by Y. Li and Y. Liu in 2019. In our model, the components of demand vector are fuzzy variables and the maximization problem is formulated by using the notion of mλ-expected value. We shall prove a general formula for the solution of optimization problem, from which we obtained effective formulas for computing the optimal solutions in the particular cases where the demands are trapezoidal and triangular fuzzy numbers. For λ=1/2 we obtain as a particular case the computation formulas of the optimal solutions of the credibilistic inventory problem of Li and Liu. These computation formulas are applied for some mλ-models obtained from numerical data.