基于一致性指數(shù)的三角猶豫模糊投影決策方法

摘要： 針對(duì)屬性權(quán)重信息不完全未知的三角猶豫模糊多屬性決策問(wèn)題,提出基于一致性指數(shù)的雙向投影決策方法。針對(duì)三角猶豫模糊決策信息,給出備選方案與正負(fù)理想點(diǎn)形成向量的表達(dá)式,利用備選方案與正負(fù)理想點(diǎn)一致性變化關(guān)系,構(gòu)建基于一致性指數(shù)的三角猶豫模糊雙向投影測(cè)度模型。在此基礎(chǔ)上,建立基于一致性指數(shù)最大化的屬性權(quán)重優(yōu)化模型,通過(guò)求解優(yōu)化模型計(jì)算權(quán)重。并通過(guò)算例說(shuō)明方法的有效性和可行性。
For multiple attribute decision making problems,in which the attribute weights are unknown incompletely and attribute values take the form of hesitant triangular fuzzy element,a bidirectional projection decision making method based on consistency index is proposed. First,the expressions of vectors among the alternatives,positive-ideal point and negative-ideal point are defined. Then,a bidirectional projection decision making model based on consistency index is proposed,in which the attribute values are in the form of hesitant triangular fuzzy element. Furthermore,an optimization model based on maximizing the consistency index is constructed to obtain the attribute weights. Finally,a numerical example is provided to illustrate the validity and feasibility of the proposed method.