Interval eigenvectors of circulant matrices in fuzzy algebra
Helena Myšková · Acta Electrotechnica et Informatica · 2012
Fuzzy algebra is an algebraic structure in which classical addition and multiplication are replaced by ⊕ and ⊗, where a ⊕ b = max{a, b}, a ⊗ b = min{a, b}.A vector x is an eigenvector of a matrix A if A ⊗ x = x.An interval vector X and the possible and universal eigenvectors are defined.A necessary and sufficient condition for the possible and universal eigenvectors of a circulant matrix are proved and several examples are given.