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Displaying 81 – 100 of 125

Tolerance problems for generalized eigenvectors of interval fuzzy matrices

Martin Gavalec, Helena Myšková, Ján Plavka, Daniela Ponce (2022)

Kybernetika

Fuzzy algebra is a special type of algebraic structure in which classical addition and multiplication are replaced by maximum and minimum (denoted $\oplus$ and $\otimes$ , respectively). The eigenproblem is the search for a vector $x$ (an eigenvector) and a constant $λ$ (an eigenvalue) such that $A \otimes x = λ \otimes x$ , where $A$ is a given matrix. This paper investigates a generalization of the eigenproblem in fuzzy algebra. We solve the equation $A \otimes x = λ \otimes B \otimes x$ with given matrices $A, B$ and unknown constant $λ$ and vector $x$ . Generalized eigenvectors have interesting...

Tolerance relation on lattices

Ivan Chajda, Bohdan Zelinka (1974)

Časopis pro pěstování matematiky

Tolerance relations on complete lattices

Juhani Nieminen (1977)

Commentationes Mathematicae Universitatis Carolinae

Tolerance relations on eventually regular semigroups.

H. Zheng (1996)

Semigroup forum

Tolerance relations on simple ternary algebras

Juhani Nieminen (1977)

Archivum Mathematicum

Tolerances and congruences on implication algebras

Ivan Chajda, Bohdan Zelinka (1988)

Czechoslovak Mathematical Journal

Tolerances and congruences on lattices

Melvin F. Janowitz (1986)

Czechoslovak Mathematical Journal

Tolerances and congruences on tree algebras

Bohdan Zelinka (1975)

Czechoslovak Mathematical Journal

Tolerances and convexity

Ivan Chajda, Bohdan Zelinka (1979)

Czechoslovak Mathematical Journal

Tolerances and orderings on semilattices

Ivan Chajda, Juhani Nieminen, Bohdan Zelinka (1983)

Archivum Mathematicum

Tolerances and the Chinese remainder theorem

Ivan Chajda (1980)

Mathematica Slovaca

Tolerances, covering systems, and the axiom of choice

George Grätzer, Günter H. Wenzel (1989)

Archivum Mathematicum

Tolerances in congruence permutable algebras

Ivan Chajda (1988)

Czechoslovak Mathematical Journal

Tolerances of frames

Josef Niederle (1991)

Archivum Mathematicum

Tolerances of polyunary algebras

Bohdan Zelinka (1988)

Archivum Mathematicum

Tolerances on graph algebras

Bohdan Zelinka (1987)

Czechoslovak Mathematical Journal

Tolerances on median algebras

Hans-Jürgen Bandelt (1983)

Czechoslovak Mathematical Journal

Tolerances on monounary algebras

Bohdan Zelinka (1984)

Czechoslovak Mathematical Journal

Tolerances on poset algebras

Bohdan Zelinka (1992)

Mathematica Bohemica

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.

Tolerances on powers of a finite algebra

Jaromír Duda (1992)

Mathematica Bohemica

It is shown that any power $A^{n}, n \geq 2$ , of a finite $k$ -element algebra $A, k \geq 2$ , has factorable tolerances whenever the power $A^{4 k^{2} - 3 k}$ has the same property.

Currently displaying 81 – 100 of 125

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