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Intuitionistic Fuzzy Weighted Linear Regression Model with Fuzzy Entropy under Linear Restrictions

机译:线性约束下具有模糊熵的直觉模糊加权线性回归模型

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摘要

In fuzzy set theory, it is well known that a triangular fuzzy number can be uniquely determined through its position and entropies. In the present communication, we extend this concept on triangular intuitionistic fuzzy number for its one-to-one correspondence with its position and entropies. Using the concept of fuzzy entropy the estimators of the intuitionistic fuzzy regression coefficients have been estimated in the unrestricted regression model. An intuitionistic fuzzy weighted linear regression (IFWLR) model with some restrictions in the form of prior information has been considered. Further, the estimators of regression coefficients have been obtained with the help of fuzzy entropy for the restricted/unrestricted IFWLR model by assigning some weights in the distance function.
机译:在模糊集理论中,众所周知,三角形模糊数可以通过其位置和熵唯一地确定。在当前的通信中,我们将其概念扩展到三角直觉模糊数上,以使其与位置和熵一一对应。使用模糊熵的概念,已经在无限制回归模型中估计了直觉模糊回归系数的估计量。已经考虑了具有先验信息形式的某些限制的直觉模糊加权线性回归(IFWLR)模型。此外,通过在距离函数中分配一些权重,对于模糊/受限IFWLR模型,借助模糊熵获得了回归系数的估计量。

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