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首页> 外文会议>Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on >Some interval-valued intuitionistic fuzzy geometric aggregation operators based on einstein operations
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Some interval-valued intuitionistic fuzzy geometric aggregation operators based on einstein operations

机译：一些基于爱因斯坦运算的区间值直觉模糊几何聚合算子

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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 article, we develop some interval-valued intuitionistic fuzzy geometric operators based on Einstein operations, such as the interval-valued intuitionistic fuzzy Einstein weighted geometric (IVIFWGε) operator, interval-valued intuitionistic fuzzy Einstein ordered weighted geometric (IVIFOWGε) operator and interval-valued intuitionistic fuzzy Einstein hybrid geometric (IVIFHWGε) operator, which are the generalizations of the geometric aggregation operators based on AIFSs. Moreover, we establish various properties of these operators.
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，我们基于Einstein运算开发了一些区间值直觉模糊几何算子，例如区间值直觉模糊爱因斯坦加权几何（IVIFWGε）算子，区间值直觉模糊爱因斯坦有序加权几何（IVIFOWGε）和区间值直觉模糊爱因斯坦混合几何（IVIFHWGε）算子，是基于AIFS的几何聚合算子的推广。此外，我们建立了这些运算符的各种属性。

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