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ISSN: 2582-0818

Home 9 acm: Vol.1, No.1, 2018

Volume 1, Number 1 (2018)-Table of Contents

Open AccessArticle

Neutrosophic subsemigroups

Annals of Communications in Mathematics 2018

, 1 (1)

, 1-10

DOI: https://doi.org/10.62072/acm.2018.010101

AbstractIn the present paper, we introduce the notion of (Φ, Ψ)-neutrosophic subsemigroups of a semigroup where Φ, Ψ ∈ {∈, q, ∈ ∨ q}, and related properties are investigated. We consider characterizations of an (∈, ∈)-neutrosophic subsemigroup and an (∈, ∈ ∨ q)-neutrosophic subsemigroup. Conditions for the neutrosophic ∈-subsets, neutrosophic q-subsets and neutrosophic ∈ ∨ q-subsets to be subsemigroups are discussed. Finally, we discuss conditions for a neutrosophic set to be a (q, ∈ ∨ q)-neutrosophic subsemigroup.
Open AccessArticle

Hybrid structures and applications

Annals of Communications in Mathematics 2018

, 1 (1)

, 11-25

DOI: https://doi.org/10.62072/acm.2018.010102

AbstractThe notion of hybrid structures is introduced, and several properties are investigated. Applications in BCK/BCI-algebras and linear spaces are discussed. Hybrid subalgebra, hybrid field and hybrid linear space are introduced, and related properties are investigated.
Open AccessArticle

p-semisimple neutrosophic quadruple BCI-algebras and neutrosophic quadruple p-ideals

Annals of Communications in Mathematics 2018

, 1 (1)

, 26-37

DOI: https://doi.org/10.62072/acm.2018.010103

AbstractCharacterizations of neutrosophic quadruple BCI-algebra are considered. Conditions for the neutrosophic quadruple BCI-set to be a p-semisimple BCI-algebra are provided. A condition for a subalgebra to be an ideal in neutrosophic quadruple BCIalgebra is given. Conditions for the set NQ(A, B) to be a neutrosophic quadruple closed ideal and neutrosophic quadruple p-ideal are discussed. Characterizations of neutrosophic quadruple p-ideal are considered.
Open AccessArticle

An object oriented approach to the application of intuitionistic fuzzy sets in competency based test evaluation

Annals of Communications in Mathematics 2018

, 1 (1)

, 38-47

DOI: https://doi.org/10.62072/acm.2018.010104

AbstractCharacterizations of neutrosophic quadruple BCI-algebra are considered. Conditions for the neutrosophic quadruple BCI-set to be a p-semisimple BCI-algebra are provided. A condition for a subalgebra to be an ideal in neutrosophic quadruple BCIalgebra is given. Conditions for the set NQ(A, B) to be a neutrosophic quadruple closed ideal and neutrosophic quadruple p-ideal are discussed. Characterizations of neutrosophic quadruple p-ideal are considered.
Open AccessArticle

Fuzzy shortest path in an interval-valued fuzzy hypergraph using similarity measures

Annals of Communications in Mathematics 2018

, 1 (1)

, 48-64

DOI: https://doi.org/10.62072/acm.2018.010105

AbstractIn this paper, a new approach is introduced to find the shortest path between two given vertices on interval-valued fuzzy hypergraphs. When only crisp numbers are not sufficient to measure a real world parameter, fuzzy numbers are considered. But, there are many types of fuzzy numbers available in literature. Most useful fuzzy number is trapezoidal fuzzy numbers. Throughout this paper the interval-valued trapezoidal fuzzy number is used as the arc length of the interval-valued fuzzy hypergraph. We have measured similarity between two interval-valued fuzzy numbers to find the shortest path. An algorithm is also designed to find all possible hyperpaths in a hypergraph and calculated its time complexity
Open AccessArticle

Cubic subalgebras of BCH-algebras

Annals of Communications in Mathematics 2018

, 1 (1)

, 65-73

DOI: https://doi.org/10.62072/acm.2018.010106

AbstractIn this paper, the notion of cubic subalgebras of BCH-algebras are introduced. Some characterization of cubic subalgebras of BCH-algebras are given. The homomorphic image and inverse image of cubic subalgebras are studied and investigated some related properties
Open AccessArticle

Generalized symmetric bi-derivations of lattices

Annals of Communications in Mathematics 2018

, 1 (1)

, 74-84

DOI: https://doi.org/10.62072/acm.2018.010107

AbstractIn this article, the notion of a new kind of derivation is introduced for a lattice L called symmetric bi-(T, F)-derivations on L as a generalization of derivation of lattices and characterized some of its related properties. Some equivalent conditions provided for a lattice L with greatest element 1 by the notion of isotone symmetric bi- (T, F)-derivation on L. By using the concept of isotone derivation, we characterized the modular and distributive lattices by the notion of isotone symmetric bi-(T, F)-derivation