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A fuzzy production inventory model with imprecise production and fuzzy production time under mλ-measure

Nita A. Shah, Hardik A. Soni, Kamlesh A. Patel


A fuzzy economic production quantity (FEPQ) model with imprecise production and fuzzy production time has been considered undermλ-–measure which is linear combination of Possibility measure and Necessity measure. Based on the possibility measure and necessity measure, mλ-–measure is presented.The critical values of fuzzy total cost with respect to mλ-–measure are introduced and are employed to construct the fuzzy chance-constrained programming (CCP) model.Using fuzzy arithmetical operations under Function Principle, the CCP model is resolved by means of optimistic and pessimistic approaches. At last, confidence limits of fuzzy total annual cost are obtained for numerical illustration with the sensitivity analysis.


Fuzzyeconomic production quantity, Imprecise production,Fuzzy production time, -measure, Possibility Measure, Necessity Measure.

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