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Showing 2 results for Membership Function

Hadi Nasseri, Salim Bavandi,
Volume 14, Issue 4 (12-2017)
Abstract

Since most real-world decision problems, because of incomplete information or the existence of linguistic information in the data are including uncertainties. Stochastic programming and fuzzy programming as two conventional approaches to such issues have been raised. Stochastic programming deals with optimization problems where some or all the parameters are described by stochastic variables. In this paper, a method is provided for solving multi-objective stochastic programming Where the unknown parameters have been considered as random variables normal. In this model, it is assumed that the parameters specified by the relevant professionals. Since there aren't enough ways to solve such problems directly, the corresponding model using chance-constraint approach to convert to a certain multi-objective problem. Then, a fuzzy programming technique for solving the certain multi-objective model. In this paper, In this paper, the membership function is used hyperbolic. The final method can be solved by standard methods of nonlinear programming. Finally, numerical examples are provided to illustrate the operation of the proposed method.
G. Shakouri, S. H. Nasseri, M. M. Paydar,
Volume 19, Issue 3 (9-2022)
Abstract

Transportation costs today are considered as one of the most important costs affecting the cost of goods and the final price of consumption for the customer, especially in supply chain management. Therefore, it is necessary to focus on transportation costs due to lower prices, and consequently increase customer satisfaction and increase the position of the industry among competitors. Given that the available resources (capacity of supply centers) are generally considered as the minimum capacity available in the model, generally to solve such models, first the fuzzy supply limit is definitively converted and then using methods. The existing solution is a crisp problem that unfortunately does not fit well with the nature of the uncertainty in the decision. Therefore, in this paper, in order to adapt to the real conditions, the supply constraint in the flexible fuzzy transportation model is studied. For this purpose, a fuzzy mathematical programming approach to the transportation problem with flexible fuzzy constraints is proposed to obtain the most satisfactory solution. Finally, a numerical example for the proposed model and the proposed solution method is considered.

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