What is it about?
Eigenvalues and eigenvectors are one of the important topics over bipolar fuzzy linear algebra. In order to develop the bipolar fuzzy linear space we introduce in this article, the similarity relations, eigenvalues and eigenvectors of bipolar fuzzy matrices (BFMs). Idempotent, diagonally dominant and spectral radius of BFMs are considered here.
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Why is it important?
In this article, first time we introduce the bipolar fuzzy similarity relations over BFMs. Over some special type of BFMs (e.g. diagonally dominant matrix etc.) we investigate some properties to find the eigenvalues and eigenvectors of the matrices and illustrated some suitable examples. Also some result about spectral radius are investigated here.
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This page is a summary of: Similarity relations, eigenvalues and eigenvectors of bipolar fuzzy matrix, Journal of Intelligent & Fuzzy Systems, March 2016, IOS Press,
DOI: 10.3233/ifs-152000.
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