Similarity relations, eigenvalues and eigenvectors of bipolar fuzzy matrix

Article type: Research Article

Authors: Mondal, Sanjib^* | Pal, Madhumangal

Affiliations: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India

Correspondence: [*] Corresponding author. Sanjib Mondal, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721102, India. Tel.: +919609268225; E-mail: sanjibvumoyna@gmail.com.

Abstract: 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. Also, some properties and results of eigenvalues and eigenvectors for BFMs are investigated.

Keywords: Relation, bipolar fuzzy matrix, vector, eigenvalue, eigenvector, spectral radius

DOI: 10.3233/IFS-152000

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 4, pp. 2297-2307, 2016