Multi-objective linear fractional inventory problem under intuitionistic fuzzy environment

被引:19
|
作者
Ali, Irfan [1 ]
Gupta, Srikant [1 ]
Ahmed, Aquil [1 ]
机构
[1] Aligarh Muslim Univ, Dept Stat & Operat Res, Aligarh, UP, India
关键词
Inventory problem; Multi-objective programming; Linear fractional programming; Intuitionistic fuzzy number; Fuzzy goal programming; OPTIMIZATION TECHNIQUE; PROGRAMMING APPROACH; DEPENDENT DEMAND; HOLDING COST; LEAD-TIME; MODEL; OPTIMALITY; ALGORITHM; PSO;
D O I
10.1007/s13198-018-0738-5
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we have assumed an inventory multi-objective optimization model under intuitionistic fuzziness. In modelling, we have considered the situations where triangular intuitionistic fuzzy numbers used to express some of the input information which associated with decision variables. Further, a ranking function approach by considering linear and the nonlinear degree of membership functions have been used to obtain the crisp form of the fuzzy parameters. Finally, the fuzzy goal programming approach has been used to solve the resultant model to obtain the optimal ordering quantity. Also, a comparative study of the formulated problem under intuitionistic fuzziness has been done with a deterministic model of inventory. The concept of the paper is explained through a numerical example.
引用
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页码:173 / 189
页数:17
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