Results 21 to 30 of about 487 (71)
Towards a generalisation of formal concept analysis for data mining purposes [PDF]
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
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
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
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
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Nada Damljanovic +2 more
openaire +2 more sources
Right k‐Weakly Regular Γ‐Semirings
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
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
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
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
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

