Tolerance numbers, congruence -permutability and BCK-algebras
Tolerance problems for generalized eigenvectors of interval fuzzy matrices
Fuzzy algebra is a special type of algebraic structure in which classical addition and multiplication are replaced by maximum and minimum (denoted and , respectively). The eigenproblem is the search for a vector (an eigenvector) and a constant (an eigenvalue) such that , where is a given matrix. This paper investigates a generalization of the eigenproblem in fuzzy algebra. We solve the equation with given matrices and unknown constant and vector . Generalized eigenvectors have interesting...
Tolerance relation on lattices
Tolerance relations on complete lattices
Tolerance relations on eventually regular semigroups.
Tolerance relations on simple ternary algebras
Tolerances and congruences on implication algebras
Tolerances and congruences on lattices
Tolerances and congruences on tree algebras
Tolerances and convexity
Tolerances and orderings on semilattices
Tolerances and the Chinese remainder theorem
Tolerances, covering systems, and the axiom of choice
Tolerances in congruence permutable algebras
Tolerances of frames
Tolerances of polyunary algebras
Tolerances on graph algebras
Tolerances on median algebras
Tolerances on monounary algebras
Tolerances on poset algebras
To everz partiallz ordered set a certain groupoid is assigned. A tolerance on it is defined similarlz as a congruence, onlz the requirement of transitivitz is omitted. Some theorems concerning these tolerances are proved.