区间二型模糊语言Z-numbers及其应用

针对区间二型模糊多属性群决策问题,提出了以区间二型模糊语言Z-numbers(IT2FLZNs)为信息环境的群决策方法。首先,在区间二型模糊集和Z-numbers理论基础上提出了区间二型模糊语言Znumbers并定义了其相关运算性质,提出了两个区间二型模糊语言Z-numbers之间的相似度与距离;其次,在专家和属性权重都未知的情况下,根据决策中总体不确定性最小原则,利用相似度构建最优化模型,确定专家和属性的权重,并且通过综合比较各方案的群体效用值、个体遗憾值和亲密度来选择最优方案;最后,通过一个银行流动风险的实例验证所提方法的有效性与可行性。

Interval Type-2 Fuzzy Language Z-numbers and Their Application

In order to effectively solve multiple attribute group decision-making problem under the interval type-2 fuzzy environment, the interval type-2 fuzzy language Z - Numbers (IT2FLZNs) has been proposed, which is used to express the objective information of natural language and the trust degree of information. First of all, IT2FLZNs and its operation properties are defined based on the interval type-2 fuzzy set and Z - numbers theory. The similarity and distance between the IT2FLZNs are proposed. Secondly, in the case of unknown experts and attribute weights, according to the principle of the minimum overall uncertainty in decision making, the optimization model is constructed by using similarity to determine the weight of experts and attributes, and the optimal scheme is selected by comparing the group utility value, individual regret value and intimacy of each scheme. Finally, a case of bank liquidity risk is used to verify the effectiveness and feasibility of the proposed method.