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首页> 外文期刊>Journal of intelligent & fuzzy systems: Applications in Engineering and Technology >Interval-valued intuitionistic fuzzy hybrid weighted averaging operator based on Einstein operation and its application to decision making
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Interval-valued intuitionistic fuzzy hybrid weighted averaging operator based on Einstein operation and its application to decision making

机译：基于爱因斯坦运算的区间直觉模糊混合加权平均算子及其在决策中的应用

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摘要

The notion of interval-valued intuitionistic fuzzy set (IVIFS) is a generalization of that of Atanassov's intuitionistic fuzzy set (AIFS). The fundamental characteristic of IVIFS is that the values of its membership function and non-membership function are intervals rather than exact numbers. In this paper, we define some Einstein operations on IVIFS and develop three arithmetic averaging operators, such as the interval-valued intuitionistic fuzzy Einstein weighted averaging (IVIFWA~ε) operator, interval-valued intuitionistic fuzzy Einstein ordered weighted averaging (IVIFOWA~ε) operator, and interval-valued intuitionistic fuzzy Einstein hybrid weighted averaging (IVIFHWA~ε) operator, for aggregating interval-valued intuitionistic fuzzy information. The IVIFHWA~ε operator generalizes both the IVIFWA~ε and IVIFOWA~ε operators. Moreover, we establish various properties of these operators and derive the relationship between the proposed operators and the exiting aggregation operators. Finally, we apply the IVIFHWA~ε operator to multiple attribute decision making with interval-valued intuitionistic fuzzy information.
机译：区间值直觉模糊集（IVIFS）的概念是Atanassov直觉模糊集（AIFS）的概括。 IVIFS的基本特征是其隶属函数和非隶属函数的值是间隔而不是确切的数字。在本文中，我们在IVIFS上定义了一些Einstein运算，并开发了三个算术平均算子，如区间值直觉模糊爱因斯坦加权平均（IVIFWA〜ε）算子，区间值直觉模糊爱因斯坦有序加权平均（IVIFOWA〜ε）运算符和区间值直觉模糊爱因斯坦混合加权平均（IVIFHWA〜ε）运算符，用于汇总区间值直觉模糊信息。 IVIFHWA_ε运算符将IVIFWA_ε和IVIFOWA_ε运算符都推广。此外，我们建立了这些运算符的各种属性，并推导了拟议的运算符与现有聚集运算符之间的关系。最后，将IVIFHWA〜ε算子应用于具有区间直觉模糊信息的多属性决策。

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