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ISSN: 2582-0818

Home 9 acm: Vol.3, No.2, 2020

Volume 3, Number 2 (2020)-Table of Contents

Open AccessArticle

New operators for Fermatean fuzzy sets

Annals of Communications in Mathematics 2020

, 3 (2)

, 116-131

DOI: https://doi.org/10.62072/acm.2020.030201

AbstractIn this paper, we define some new operators[(A@B), (A$B), (A#B), (A∗ B), (A → B)] of Fermatean fuzzy sets. Then we discuss several properties of these operators. Further we prove necessity and possibility operators of Fermatean fuzzy sets and investigates the algebraic properties. Finally, we have identified and proved several ofthese properties, particularly those involving the operator A → B defined as Fermatean fuzzy implication with other operators.
Open AccessArticle

On rarely fuzzy e*-continuous functions in the sense of Sostak’s

Annals of Communications in Mathematics 2020

, 3 (2)

, 132-138

DOI: https://doi.org/10.62072/acm.2020.030202

AbstractIn this paper, we introduce the concepts of rarely fuzzy e ∗-continuous functions in the sense of Sˇostak’s is introduced. Some interesting properties and characterizations of them are investigated. Also, some applications to fuzzy compact spaces are established.
Open AccessArticle

Study of the global asymptotic stability in nonlinear neutral integro-dynamic

Annals of Communications in Mathematics 2020

, 3 (2)

, 139-151

DOI: https://doi.org/10.62072/acm.2020.030203

AbstractThe main purpose of this paper is to establish the global asymptotic stability of the zero solution of a class of nonlinear neutral integro-dynamic equations in C1 rd. Global asymptotic stability results are based on the Banach fixed point theorem. The results obtained here extend the work of Huang, Zhao and Liu [19].
Open AccessArticle

Generalized U-H stability of cubic mappings

Annals of Communications in Mathematics 2020

, 3 (2)

, 152-157

DOI: https://doi.org/10.62072/acm.2020.030204

AbstractIn this work, we investigate the generalized Ulam-Hyers stability of the ωdimensional cubic functional equation where ω ≥ 4, in Banach spaces using direct and fixed point methods.
Open AccessArticle

Hesitant anti-intuitionistic fuzzy soft commutative ideals of BCK-algebras

Annals of Communications in Mathematics 2020

, 3 (2)

, 158-170

DOI: https://doi.org/10.62072/acm.2020.030205

AbstractIn this paper, the notions of hesitant anti-intuitionistic fuzzy soft BCI-commutative ideals of BCI-algebras and hesitant anti-intuitionistic fuzzy soft subcommutative ideals of BCK-algebras are introduced and their related properties are investigate. Relations between a hesitant anti-intuitionistic fuzzy soft ideals and hesitant anti-intuitionistic fuzzy soft BCI-commutative ideals are discussed. Conditions for a hesitant anti-intuitionistic fuzzy soft ideal to be a hesitant anti-intuitionistic fuzzy soft BCIcommutative ideal are provided. Finally, it is proved that a hesitant anti-intuitionistic fuzzy soft p-ideal is a hesitant anti-intuitionistic fuzzy soft sub-commutative ideal in a BCKalgebra.
Open AccessArticle

Cube sum labeling of graphs

Annals of Communications in Mathematics 2020

, 3 (2)

, 171-176

DOI: https://doi.org/10.62072/acm.2020.030206

AbstractHere, we define a cube sum labeling and cube sum graph. Let G be a (p, q) graph. G is said to be a cube sum graph if there exist a bijection f : V (G) → {0, 1, . . . , p − 1} such that the induced function f ∗ : E(G) → N given by are all distinct. In this paper, we developed the concept of cube sum labeling of some family of graphs like paths, cycle, stars, wheel graph, fan graphs are discussed in this paper.
Open AccessArticle

Ulam stability for finite variable quadratic functional equation in Banach algebra

Annals of Communications in Mathematics 2020

, 3 (2)

, 177-184

DOI: https://doi.org/10.62072/acm.2020.030207

AbstractHere, we define a cube sum labeling and cube sum graph. Let G be a (p, q) graph. G is said to be a cube sum graph if there exist a bijection f : V (G) → {0, 1, . . . , p − 1} such that the induced function f ∗ : E(G) → N given by are all distinct. In this paper, we developed the concept of cube sum labeling of some family of graphs like paths, cycle, stars, wheel graph, fan graphs are discussed in this paper.