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Synchronizing weighted automata [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2014
We introduce two generalizations of synchronizability to automata with transitions weighted in an arbitrary semiring K=(K,+,*,0,1). (or equivalently, to finite sets of matrices in K^nxn.) Let us call a matrix A location-synchronizing if there exists a ...
Szabolcs Iván
doaj   +4 more sources

Generalized roughness of three dimensional ( $$\in ,\in \vee q$$ ∈ , ∈ ∨ q )-fuzzy ideals in terms of set-valued homomorphism [PDF]

open access: yesScientific Reports
The objective of this study is to generalize the roughness of a fuzzy set-in three-dimensional structure by introducing ternary multiplication. Many results and theorems of rough fuzzy ideals have been extended from semigroup and semiring, to ternary ...
Shahida Bashir   +5 more
doaj   +2 more sources

On Neutrosophic Γ-Semirings [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
In this paper, we introduce and study the concept of Neutrosophic Γ-semiring and study various properties. Also, we prove that there is a one-to-one correspondence between Neutrosophic Γ-semirings and sub Γ-semirings of a Γ-semiring.
Yella Bhargavi, Akbar Rezaei
doaj   +1 more source

CROSS PRODUCT OF IDEAL FUZZY SEMIRING

open access: yesBarekeng, 2023
If one of the axioms in the ring, namely the inverse axiom in the addition operation, is omitted, it will produce another algebraic structure, namely a semiring.
Saman Abdurrahman
doaj   +1 more source

Pumping lemmas for weighted automata [PDF]

open access: yesLogical Methods in Computer Science, 2021
We present pumping lemmas for five classes of functions definable by fragments of weighted automata over the min-plus semiring, the max-plus semiring and the semiring of natural numbers. As a corollary we show that the hierarchy of functions definable by
Agnishom Chattopadhyay   +3 more
doaj   +1 more source

Tri-Quasi Ideals of Γ-Semirings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
In this paper, as a further generalization of ideals, we introduce the notion of tri-quasi ideal as a generalization of ideal, left ideal, right ideal, bi-ideal, quasi ideal, interior ideal, bi-interior ideal,weak interior ideal, bi-quasi ideal, tri ...
Rao Marapureddy Murali Krishna
doaj   +1 more source

Fuzzy (Soft) Quasi-Interior Ideals of Semirings [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2022
In this paper‎, ‎as a further generalization of fuzzy ideals‎, ‎we introduce the notion of a fuzzy (soft) quasi-interior ideals of semirings and characterize regular semiring in terms of fuzzy (soft) quasi-interior ideals of semirings‎. ‎We prove that $(\
Arsham Borumand Saeid   +3 more
doaj   +1 more source

The Ideal Over Semiring of the Non-Negative Integer

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika), 2023
Assumed that (S,+,.) is a semiring. Semiring is a algebra structure as a generalization of a ring. A set I⊆S is called an ideal over semiring S if for any α,β∈I, we have α-β∈I and sα=αs∈I for every s in semiring S.
Aisyah Nur Adillah   +3 more
doaj   +1 more source

On quasi-prime differential semiring ideals

open access: yesНауковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020
The notion of a \verb"quasi-prime ideal", for the first time, was introduced in differential commutative rings, i.e. commutative rings considered together with a derivation, as differential ideals maximal among those not meeting some multiplicatively ...
І. О. Мельник
doaj   +1 more source

The Triple-Pair Construction for Weighted ω-Pushdown Automata [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2017
Let S be a complete star-omega semiring and Sigma be an alphabet. For a weighted omega-pushdown automaton P with stateset 1...n, n greater or equal to 1, we show that there exists a mixed algebraic system over a complete semiring-semimodule pair ((S ...
Manfred Droste   +2 more
doaj   +1 more source

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