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A fuzzy linear programming method for group decision making with additive reciprocal fuzzy preference relations

机译：具有加性倒数模糊偏好关系的群体决策的模糊线性规划方法

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摘要

The existing methods for solving the group decision making (GDM) problems with preference relations generally include four steps: (1) estimation of missing preferences, (2) consistency and consensus reaching, (3) aggregation and (4) exploitation, which make the GDM process complicated. Relatively, very few research results focus on exploring the methods which can simplify this process to improve the efficiency. In this paper, we develop a new fuzzy linear programming method (FLPM) to deal with the GDM problems with additive reciprocal fuzzy preference relations (FPRs). The FLPM can directly produce meaningful results without the four steps. An effect index is developed to measure the decision makers (DMs)' effects in the GDM problems. Based on the FLPM and the effect index, we propose a new method to determine the DMs' weights. A step by step procedure is further proposed to deal with the GDM problems with all the developed methods, and its performance is illustrated by examples.
机译：解决具有偏好关系的群体决策（GDM）问题的现有方法通常包括四个步骤：（1）估计缺失的偏好，（2）一致性和共识达成，（3）聚合和（4）利用，从而使GDM流程复杂。相对而言，很少有研究结果集中于探索可简化此过程以提高效率的方法。在本文中，我们开发了一种新的模糊线性规划方法（FLPM）来解决具有加性倒数模糊偏好关系（FPR）的GDM问题。 FLPM无需四个步骤即可直接产生有意义的结果。开发了一个效果指标来衡量决策者（DM）在GDM问题中的效果。基于FLPM和效果指数，我们提出了一种确定决策者权重的新方法。进一步提出了使用所有已开发方法来解决GDM问题的分步过程，并通过示例说明了其性能。

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