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Duality in Fuzzy Multiple Objective Linear Programming

机译:模糊多目标线性规划的二元性

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摘要

A class of fuzzy multiple objective linear programming (FMOLP) problems with fuzzy coefficients based on fuzzy relations is introduced, the concepts of feasible and (alpha ,beta)-maximal and minimal solutions are defined. The class of crisp (classical) MOLP problems can be embedded into the class of FMOLP ones. Moreover, for FMOLP problems a new concept of duality is introduced and the weak and strong duality theorems are derived.
机译:介绍了基于模糊关系的模糊系数的模糊多目标线性规划(FMOLP)问题,定义了可行的概念和(alpha,beta) - maximal和最小解决方案。清脆(古典)MOLP问题的类别可以嵌入到FMOLP的类中。此外,对于FMOLP问题,引入了一种新的二元性概念,源于弱和强大的二元定理。

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