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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   +2 more sources

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

On anti-commutative semirings [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1989
An anticommutative semiring is completely characterized by the types of multiplications that are permitted. It is shown that a semiring is anticommutative if and only if it is a product of two semirings R1 and R2 such that R1 is left multiplicative and ...
J. S. Ratti, Y. F. Lin
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

Semiring-Valued Fuzzy Sets and F-Transform

open access: yesMathematics, 2021
The notion of a semiring-valued fuzzy set is introduced for special commutative partially pre-ordered semirings, including basic operations with these fuzzy structures. It is showed that many standard MV-algebra-valued fuzzy type structures with standard
Jiří Močkoř
doaj   +3 more sources

SEMIRING

open access: yesBarekeng, 2011
Dalam aljabar, semiring merupakan suatu struktur yang serupa dengan ring, tetapi tanpa syarat bahwa setiap elemen harus memiliki invers terhadap operasi penjumlahan. Jika pada ring, R,  adalah grup komutatif atau grup abelian maka pada semiring, S, 
Susan R. Lisapaly, Elvinus R. Persulessy
doaj   +3 more sources

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

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