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.
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.
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].
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.
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.
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.
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.