Research on a Method of Uncertain Linguistic Information Group Decision-making Based on the Steiner Point

doi:10.12005/orms.2018.0134

Abstract

Abstract: To solve the decision-making problem of uncertain linguistic information, a method is presented through gathering uncertain multi-granularity two-tuple linguistic information. Firstly, according to the uncertain linguistic phrase of experts, we quantify the linguistic information into corresponding two-tuple interval numbers through related transformation rules, and map their endpoints to planar reference frame. Secondly, by using the plant growth simulation algorithm(PGSA), we calculate the weighted Steiner point (the optimal rally point of multi-expert, i.e. the consensus point). Then, the expert optimal aggregation judgment matrix is given by the optimal set node. Thus, the decision scheme can be sorted and the optimal group decision scheme is given. In order to verify the rationality and effectiveness of this method, this paper selects two other scholars’ research examples and carries out a parallel case study. Finally, the same results are obtained.

Key words: group decision-making, two-tuple, the steiner point, PGSA

摘要： 本文针对不确定语言信息的群决策问题,提出了一种解决多粒度不确定二元语义语言信息集结与决策的新方法。首先,根据各专家不确定语言短语决策信息,通过相关转化规则,量化为与其对应的二元语义区间数,并将其端点映射到二维坐标系中。其次,运用植物模拟生长算法(PGSA)求出各区间数端点坐标的加权Steiner点(专家群体最优结集点,即群体共识点)。其后,再由最优集结点,给出专家最优集结判断矩阵。从而,可以对决策方案的进行排序,以便给出最优群体决策方案。为了验证此方法的合理性和有效性,本文选择了两个其他学者的研究算例,对其进行了平行的算例研究。最终得到了与其相同的研究结果。

关键词: 群决策, 二元语义, Steiner点, 模拟植物生长算法

CLC Number:

C934

LI Lei, ZONG Meng-ting, LI jing. Research on a Method of Uncertain Linguistic Information Group Decision-making Based on the Steiner Point[J]. Operations Research and Management Science, 2018, 27(6): 55-62.

李磊, 宗梦婷, 李静. 基于Steiner点的非确定语言信息群决策方法研究[J]. 运筹与管理, 2018, 27(6): 55-62.

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