A Note on L-R Hexagonal Fuzzy Matrices with Matrix Norm

D. Stephen Dinagar, U. Narayanan
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Abstract

Fuzzy matrices play an important role to model several uncertain systems. In this paper, we define two norms namely ‘sup norm’ and ‘operator norm’ of L-R Hexagonal fuzzy matrix (L-R HFM). We also relate the norm of L-R HFM in the distance d(?̂?LR , ?̂?LR). An analytical concept of power series and invertibility under the norm of L-R HFM have been studied. Some of the relevant properties, theorems based on the norms are investigated.
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关于具有矩阵范数的L-R六边形模糊矩阵的一个注记
模糊矩阵在不确定系统建模中起着重要的作用。本文定义了L-R六边形模糊矩阵的“sup范数”和“算子范数”两个范数。我们还将L-R HFM在距离d(? ? ?Lr, ? ? Lr)。研究了幂级数的解析概念和L-R HFM范数下的可逆性。研究了基于范数的一些相关性质和定理。
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