基于直觉模糊集的几何聚集算子决策

2014 2nd International Conference on Business and Information Management (ICBIM) Pub Date : 2014-12-04 DOI:10.1109/ICBIM.2014.6970940

Sujit Das, S. Karmakar, T. Pal, S. Kar

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引用次数: 5

摘要

Xu和Yager(2006)提出了一些基于直觉模糊集(IFS)的几何聚合算子，并引入隶属度子区间的概念来定义IFS。在子区间的基础上，定义了直觉模糊加权几何算子、直觉模糊有序加权几何算子和直觉模糊混合几何算子等几何聚合算子。在本文中，我们利用非隶属值的子区间，在IFS的基础上提出了IFWG、IFOWG和IFHG这些几何聚合算子。这些运算符可用于参数以直觉模糊集的形式呈现的环境中。给出了数值算例来说明这些算子。我们还提出了一种算法来展示IFHG算子在基于直觉模糊集的多属性决策问题中的应用。最后通过一个数值算例对该算法进行了说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Decision making with geometric aggregation operators based on intuitionistic fuzzy sets

Xu and Yager (2006) proposed some geometric aggregation operators based on intuitionistic fuzzy sets (IFS) and introduced the concept of sub-interval of membership values to define IFS. Based on the sub-interval, they defined various geometric aggregation operators such as intuitionistic fuzzy weighted geometric (IFWG) operator, intuitionistic fuzzy ordered weighted geometric (IFOWG) operator, and intuitionistic fuzzy hybrid geometric (IFHG) operator. In this paper, we propose these geometric aggregation operators (IFWG, IFOWG, and IFHG) based on IFS using the sub-interval of non-membership values. These operators can be used in an environment where the arguments are presented as intuitionistic fuzzy sets. Numerical examples are given to illustrate the operators. We also present an algorithm to show the application of the IFHG operator to multiple attribute decision making (MADM) problems based on intuitionistic fuzzy sets. Finally the algorithm has also been illustrated through a numerical example.

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2014 2nd International Conference on Business and Information Management (ICBIM)

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