Akbar Rezaei - Academia.edu (original) (raw)
Papers by Akbar Rezaei
Rms: Research In Mathematics & Statistics, Dec 29, 2016
In this paper, we introduce the notion of sBCI/sBCK/eBCI/eBCK-algebras as a generalization of the... more In this paper, we introduce the notion of sBCI/sBCK/eBCI/eBCK-algebras as a generalization of the notion of BCI/BCK-algebras. This structure is studied in detail. Also we introduce a way to make an eBCK-algebra from a BCK-algebra and vice versa.
J. Multiple Valued Log. Soft Comput., 2008
Annales Universitatis Paedagogicae Cracoviensis, 2023
Asian-european Journal of Mathematics, May 7, 2022
In this paper, we introduce and study the notion of a [Formula: see text]positive implicative[For... more In this paper, we introduce and study the notion of a [Formula: see text]positive implicative[Formula: see text] left ray in groupoids, and we show that every normal subgroup of a group is a left ray of a group, and in every finite group, left rays are normal subgroups. Further, left absorptive subsets of groupoids are discussed and several examples for these definitions provided. The relationship between left rays and zero semigroups is discussed.
Journal of Intelligent and Fuzzy Systems, Jun 22, 2017
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, Mar 18, 2018
Decision Making: Applications in Management and Engineering
Customer acquaintance and the quality of the products decide the survival span of all the busines... more Customer acquaintance and the quality of the products decide the survival span of all the business sectors. Every production firm attempts to manufacture novel products with attractive and compatible features to satisfy the demands of different types of customers, especially with a special preference for the consistent kind of customers. A decision-making inventory model compassing the initiatives taken by the production firm for consistent customers is developed with the inclusion of costs associated with quality conservation and warehouse management. The reliability of the model is validated with numerical examples and inferences on parametric variations are made by comparing the results employing MATLAB software. The proposed model shall be further discussed in a fuzzy environment
In this paper, we extend the notion of LA-semihypergroups (resp. Hv-LA-semigroups) to neutro-LA-s... more In this paper, we extend the notion of LA-semihypergroups (resp. Hv-LA-semigroups) to neutro-LA-semihypergroups (respectively, neutro-Hv-LA-semigroups). Anti-LA-semihypergroups (respectively, anti-Hv-LA-semigroups) are studied and investigated some of their properties. We show that these new concepts are di fferent from classical concepts by several examples. These are particular cases of the classical algebraic structures generalized to neutroalgebraic structures and antialgebraic structures (Smarandache, 2019). 2000 Mathematics subject classification: 20N20, 20N99.
Journal of algebraic hyperstructures and logical algebras, Aug 1, 2022
The Educational Publisher Inc., 2021
Computers & Mathematics with Applications, 2012
In this article, class of all bounded commutative self distributive modal BE-algebras mBE S is in... more In this article, class of all bounded commutative self distributive modal BE-algebras mBE S is introduced. Finally, we show that the class of all bounded commutative self distributive modal BEalgebras, mBE S , coincides with the class of all topological Heyting algebras.
Fasciculi Mathematici, 2015
In this paper, we introduce the notion of distributive pseudo BE-algebra and show that the relate... more In this paper, we introduce the notion of distributive pseudo BE-algebra and show that the related relation defined on this structure is transitive and prove that every pseudo upper set is a pseudo filter. Also, the pseudo filter generated by a set is define and show that the set of all pseudo filters is distributive complete lattice but it is not complemented. the notion of prime and irreducible subset and prove that every irreducible subset is prime.
Journal of Algebraic Hyperstructures and Logical Algebras
Discussiones Mathematicae - General Algebra and Applications
Journal of the Indonesian Mathematical Society
In this study, a neutrosophic N −subalgebra and neutrosophic N−ideal of a Sheffer stroke BCK-alge... more In this study, a neutrosophic N −subalgebra and neutrosophic N−ideal of a Sheffer stroke BCK-algebras are defined. It is shown that the level-set of a neutrosophic N−subalgebra (ideal) of a Sheffer stroke BCK-algebra is a subalgebra (ideal) of this algebra and vice versa. Then we present that the family of all neutrosophic N−subalgebras of a Sheffer stroke BCK-algebra forms a complete distributive modular lattice and that every neutrosophic N−ideal of a Sheffer stroke BCK-algebra is the neutrosophic N −subalgebra but the inverse does not usually hold. Also, relationships between neutrosophic N−ideals of Sheffer stroke BCK-algebras and homomorphisms are analyzed. Finally, we determine special subsets of a Sheffer stroke BCK-algebra by means of N−functions on this algebraic structure and examine the cases in which these subsets are its ideals.
CERN European Organization for Nuclear Research - Zenodo, Jun 29, 2022
Rms: Research In Mathematics & Statistics, Dec 29, 2016
In this paper, we introduce the notion of sBCI/sBCK/eBCI/eBCK-algebras as a generalization of the... more In this paper, we introduce the notion of sBCI/sBCK/eBCI/eBCK-algebras as a generalization of the notion of BCI/BCK-algebras. This structure is studied in detail. Also we introduce a way to make an eBCK-algebra from a BCK-algebra and vice versa.
J. Multiple Valued Log. Soft Comput., 2008
Annales Universitatis Paedagogicae Cracoviensis, 2023
Asian-european Journal of Mathematics, May 7, 2022
In this paper, we introduce and study the notion of a [Formula: see text]positive implicative[For... more In this paper, we introduce and study the notion of a [Formula: see text]positive implicative[Formula: see text] left ray in groupoids, and we show that every normal subgroup of a group is a left ray of a group, and in every finite group, left rays are normal subgroups. Further, left absorptive subsets of groupoids are discussed and several examples for these definitions provided. The relationship between left rays and zero semigroups is discussed.
Journal of Intelligent and Fuzzy Systems, Jun 22, 2017
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, Mar 18, 2018
Decision Making: Applications in Management and Engineering
Customer acquaintance and the quality of the products decide the survival span of all the busines... more Customer acquaintance and the quality of the products decide the survival span of all the business sectors. Every production firm attempts to manufacture novel products with attractive and compatible features to satisfy the demands of different types of customers, especially with a special preference for the consistent kind of customers. A decision-making inventory model compassing the initiatives taken by the production firm for consistent customers is developed with the inclusion of costs associated with quality conservation and warehouse management. The reliability of the model is validated with numerical examples and inferences on parametric variations are made by comparing the results employing MATLAB software. The proposed model shall be further discussed in a fuzzy environment
In this paper, we extend the notion of LA-semihypergroups (resp. Hv-LA-semigroups) to neutro-LA-s... more In this paper, we extend the notion of LA-semihypergroups (resp. Hv-LA-semigroups) to neutro-LA-semihypergroups (respectively, neutro-Hv-LA-semigroups). Anti-LA-semihypergroups (respectively, anti-Hv-LA-semigroups) are studied and investigated some of their properties. We show that these new concepts are di fferent from classical concepts by several examples. These are particular cases of the classical algebraic structures generalized to neutroalgebraic structures and antialgebraic structures (Smarandache, 2019). 2000 Mathematics subject classification: 20N20, 20N99.
Journal of algebraic hyperstructures and logical algebras, Aug 1, 2022
The Educational Publisher Inc., 2021
Computers & Mathematics with Applications, 2012
In this article, class of all bounded commutative self distributive modal BE-algebras mBE S is in... more In this article, class of all bounded commutative self distributive modal BE-algebras mBE S is introduced. Finally, we show that the class of all bounded commutative self distributive modal BEalgebras, mBE S , coincides with the class of all topological Heyting algebras.
Fasciculi Mathematici, 2015
In this paper, we introduce the notion of distributive pseudo BE-algebra and show that the relate... more In this paper, we introduce the notion of distributive pseudo BE-algebra and show that the related relation defined on this structure is transitive and prove that every pseudo upper set is a pseudo filter. Also, the pseudo filter generated by a set is define and show that the set of all pseudo filters is distributive complete lattice but it is not complemented. the notion of prime and irreducible subset and prove that every irreducible subset is prime.
Journal of Algebraic Hyperstructures and Logical Algebras
Discussiones Mathematicae - General Algebra and Applications
Journal of the Indonesian Mathematical Society
In this study, a neutrosophic N −subalgebra and neutrosophic N−ideal of a Sheffer stroke BCK-alge... more In this study, a neutrosophic N −subalgebra and neutrosophic N−ideal of a Sheffer stroke BCK-algebras are defined. It is shown that the level-set of a neutrosophic N−subalgebra (ideal) of a Sheffer stroke BCK-algebra is a subalgebra (ideal) of this algebra and vice versa. Then we present that the family of all neutrosophic N−subalgebras of a Sheffer stroke BCK-algebra forms a complete distributive modular lattice and that every neutrosophic N−ideal of a Sheffer stroke BCK-algebra is the neutrosophic N −subalgebra but the inverse does not usually hold. Also, relationships between neutrosophic N−ideals of Sheffer stroke BCK-algebras and homomorphisms are analyzed. Finally, we determine special subsets of a Sheffer stroke BCK-algebra by means of N−functions on this algebraic structure and examine the cases in which these subsets are its ideals.
CERN European Organization for Nuclear Research - Zenodo, Jun 29, 2022