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ISSN: 2582-0818

Home 9 acm: Vol.2, No.2, 2019

Volume 2, Number 2 (2019)-Table of Contents

Open AccessArticle

Generalized Canavati type g-fractional Iyengar and Ostrowski type

Annals of Communications in Mathematics 2019

, 2 (2)

, 57-72

DOI: https://doi.org/10.62072/acm.2019.020201

AbstractWe present here generalized Canavati type g-fractional Iyengar and Ostrowski type inequalities. Our inequalities are with respect to all Lp norms: 1 ≤ p ≤ ∞. We finish with applications.
Open AccessArticle

A generalization of (∈, ∈ ∨q)-fuzzy ideals in ternary semigroups

Annals of Communications in Mathematics 2019

, 2 (2)

, 73-83

DOI: https://doi.org/10.62072/acm.2019.020202

AbstractThe notion of (α, e βe)-fuzzy left (right, lateral) ideal is introduced, and related properties are investigated. Also, characterizations of an (∈, ∈ ∨ q δ 0 )-fuzzy left (resp., right, lateral) ideal are provided. Moreover, relations between (∈, ∈ ∨ q δ 0 )-fuzzy left (resp., right, lateral) ideal and (q δ 0 , ∈ ∨q δ 0 )-fuzzy left (resp., right, lateral) ideal are established.
Open AccessArticle

Certain results for the Hermite and Chebyshev polynomials of 2-variables

Annals of Communications in Mathematics 2019

, 2 (2)

, 84-90

DOI: https://doi.org/10.62072/acm.2019.020203

AbstractIn this paper, we introduce Hermite-Chebyshev polynomials of two variables and to give some properties of Hermite and Chebyshev polynomials of two variables. We derive series representation, operational identities, generating functions and power series method by Hermite, Chebyshev and Hermite-Chebyshev polynomials of two variables. Finally, we consider generalized Hermite-Chebyshev polynomials of two variables and explicit representation of Hermite-Chebyshev polynomials of two variables.
Open AccessArticle

Generalized fuzzy Gamma-ideals of ordered Gamma-semigroups

Annals of Communications in Mathematics 2019

, 2 (2)

, 91-100

DOI: https://doi.org/10.62072/acm.2019.020204

AbstractIn this paper, the notions of (∈, ∈ ∨(k ∗, qk))-fuzzy left Γ-ideals, (∈, ∈ ∨(k ∗, qk))-fuzzy right Γ-ideals and (∈, ∈ ∨(k ∗, qk))-fuzzy Γ-ideals in ordered Γ-semigroups are introduced and their related properties are investigated. Furthermore, (k ∗, k)-lower parts of (∈, ∈ ∨(k ∗, qk))-fuzzy left Γ-ideals, (∈, ∈ ∨(k ∗, qk))-fuzzy right Γ-ideals and (∈, ∈ ∨(k ∗, qk))-fuzzy Γ-ideals are also defined. Finally, left regular, right regular and regular ordered Γ-semigroups in terms of (∈, ∈ ∨(k ∗, qk))-fuzzy left Γ-ideals and (∈, ∈ ∨(k ∗, qk))-fuzzy right Γ-ideals are characterized.
Open AccessArticle

Synopsis of the Notions of Multisets and Fuzzy Multisets

Annals of Communications in Mathematics 2019

, 2 (2)

, 101-120

DOI: https://doi.org/10.62072/acm.2019.020205

AbstractThis paper is an attempt to summarize the basic concepts of the theories of multiset and fuzzy multiset. We begin by describing multisets and the operations between them with some related results. In the same vein, the basic concepts of fuzzy multiset theory as well as the operations between fuzzy multisets are buttressed in relation to multiset theory. Finally, we present some properties of fuzzy multisets with some related results.
Open AccessArticle

Intuitionistic bipolar neutrosophic set and its application to intuitionistic bipolar neutrosophic graphs

Annals of Communications in Mathematics 2019

, 2 (2)

, 121-140

DOI: https://doi.org/10.62072/acm.2019.020206

AbstractThis manuscript is devoted to study a new concept of intuitionistic bipolar neutrosophic set with the operations like union, intersection and complement. Also, an application to intuitionistic bipolar neutrosophic graph with examples are developed. Further, we presented the Cartesian product, cross product, lexicographic product and strong product with suitable examples