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Some Induced Correlated Aggregating Operators with Interval Grey Uncertain Linguistic Information and Their Application to Multiple Attribute Group Decision Making

机译:区间灰色不确定语言信息的关联集合算子及其在多属性群决策中的应用。

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摘要

We propose the interval grey uncertain linguistic correlated ordered arithmetic averaging (IGULCOA) operator and the induced interval grey uncertain linguistic correlated ordered arithmetic averaging (I-IGULCOA) operator based on the correlation properties of the Choquet integral and the interval grey uncertain linguistic variables to investigate the multiple attribute group decision making (MAGDM) problems, in which both the attribute weights and the expert weights are correlative. Firstly, the relative concepts of interval grey uncertain linguistic variables are defined and the operation rules between the two interval grey uncertain linguistic variables are established. Then, two new aggregation operators: the interval grey uncertain linguistic correlated ordered arithmetic averaging (IGULCOA) operator and the induced interval grey uncertain linguistic correlated ordered arithmetic averaging (I-IGULCOA) operator are developed and some desirable properties of the I-IGULCOA operator are studied, such as commutativity, idempotency, monotonicity, and boundness. Furthermore, the IGULCOA and I-IGULCOA operators based approach is developed to solve the MAGDM problems, in which both the attribute weights and the expert weights are correlative and the attribute values take the form of the interval grey uncertain linguistic variables. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.
机译:基于Choquet积分与区间灰色不确定性语言变量的相关性,提出了区间灰色不确定性语言相关有序算术平均(IGULCOA)算子和诱导区间灰色不确定性语言相关有序算术平均(I-IGULCOA)算子。多属性组决策(MAGDM)问题,其中属性权重和专家权重是相关的。首先,定义了区间灰色不确定语言变量的相关概念,建立了两个区间灰色不确定语言变量之间的运算规则。然后,开发了两个新的聚合算子:区间灰色不确定语言相关有序算术平均算子(IGULCOA)和诱导区间灰色不确定语言相关有序算术平均算子(I-IGULCOA)算子,并给出了I-IGULCOA算子的一些理想性质研究,例如可交换性,幂等性,单调性和有界性。此外,开发了基于IGULCOA和I-IGULCOA算子的方法来解决MAGDM问题,其中属性权重和专家权重是相关的,属性值采用间隔灰色不确定语言变量的形式。最后,给出一个说明性的例子,以验证所开发的方法并证明其实用性和有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第1期|160610.1-160610.11|共11页
  • 作者

    Zu-Jun Ma; Nian Zhang; Ying Dai;

  • 作者单位

    School of Economic and Management, Southwest Jiaotong University, Chengdu, Sichuan 610031, China;

    School of Economic and Management, Southwest Jiaotong University, Chengdu, Sichuan 610031, China;

    School of Economic and Management, Southwest Jiaotong University, Chengdu, Sichuan 610031, China;

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