Results 21 to 30 of about 487 (71)

Towards a generalisation of formal concept analysis for data mining purposes [PDF]

open access: yes, 2006
In this paper we justify the need for a generalisation of Formal Concept Analysis for the purpose of data mining and begin the synthesis of such theory.
A. Burusco   +8 more
core   +3 more sources

Inequalities of Lyapunov and Stolarsky Type for Choquet‐Like Integrals with respect to Nonmonotonic Fuzzy Measures

open access: yesJournal of Function Spaces, Volume 2019, Issue 1, 2019., 2019
The aim of this paper is to generalize the Choquet‐like integral with respect to a nonmonotonic fuzzy measure for generalized real‐valued functions and set‐valued functions, which is based on the generalized pseudo‐operations and σ‐⊕‐measures. Furthermore, the characterization theorem and transformation theorem for the integral are given.
Ting Xie, Zengtai Gong, Calogero Vetro
wiley   +1 more source

Ordered Quasi(BI)‐Γ‐Ideals in Ordered Γ‐Semirings

open access: yesJournal of Mathematics, Volume 2019, Issue 1, 2019., 2019
In this paper, we have defined ordered quasi‐Γ‐ideals and ordered bi‐Γ‐ideals in ordered Γ‐semirings by defining the relation “≤” in ordered Γ semiring S as a ≤ b if a + x = b for any a, b, x ∈ S. By using this relation we have shown that ordered quasi‐Γ‐ideals and ordered bi‐Γ‐ideals in ordered Γ‐semirings are generalization of quasi‐ideals and bi ...
Ali N. A. Koam   +3 more
wiley   +1 more source

Simplices in the Endomorphism Semiring of a Finite Chain

open access: yesAlgebra, Volume 2014, Issue 1, 2014., 2014
We establish new results concerning endomorphisms of a finite chain, if the cardinality of the image of such endomorphism is no more than some fixed number. The semiring of all such endomorphisms can be seen as a simplex whose vertices are the constant endomorphisms. We explore the properties of these simplices.
Ivan Trendafilov, Andrei V. Kelarev
wiley   +1 more source

Bisimulations for weighted automata over an additively idempotent semiring

open access: yesTheoretical Computer Science, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nada Damljanovic   +2 more
openaire   +2 more sources

Right k‐Weakly Regular Γ‐Semirings

open access: yesAlgebra, Volume 2014, Issue 1, 2014., 2014
The concepts of a k‐idempotent Γ‐semiring, a right k‐weakly regular Γ‐semiring, and a right pure k‐ideal of a Γ‐semiring are introduced. Several characterizations of them are furnished.
R. D. Jagatap, K. C. Sivakumar
wiley   +1 more source

On Exact Sequence of Semimodules over Semirings

open access: yesInternational Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013
We introduce the notion of exact sequence of semimodules over semirings using maximal homomorphisms and generalize some results of module theory to semimodules over semirings. Indeed, we prove, “If 00→L→fM→gN→ is a split exact sequence of R‐semimodules and maximal R‐semimodule homomorphisms with Ker(g) is a strong subsemimodule of M, then M≅L ⊕ N ...
Jayprakash Ninu Chaudhari   +3 more
wiley   +1 more source

On congruence-semisimple semirings and the $K_0$-group characterization of ultramatricial algebras over semifields

open access: yes, 2017
In this paper, we provide a complete description of congruence-semisimple semirings and introduce the pre-ordered abelian Grothendieck groups $K_0(S)$ and $SK_0(S)$ of the isomorphism classes of the finitely generated projective and strongly projective S-
Katsov, Yefim   +2 more
core   +1 more source

On quasi‐ideals and bi‐ideals in ternary semirings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 18, Page 3015-3023, 2005., 2005
We introduce the notions of quasi‐ideal and bi‐ideal in ternary semirings and study some properties of these two ideals. We also characterize regular ternary semiring in terms of these two subsystems of ternary semirings.
S. Kar
wiley   +1 more source

Derivatives of triangular, Toeplitz, circulant matrices and matrices of other forms over semirings

open access: yes, 2017
In this article we construct examples of derivations in matrix semirings. We study hereditary and inner derivations, derivatives of diagonal, triangular, Toeplitz, circulant matrices and of matrices of other forms and prove theorems for derivatives of ...
Vladeva, Dimitrinka
core   +1 more source

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