Yazar "Cagman, Naim" için listeleme
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alpha-INCLUSIONS APPLIED TO GROUP THEORY VIA SOFT SET AND LOGIC
Sezgin, Aslihan; Cagman, Naim; Citak, Filiz (ANKARA UNIV, FAC SCI, 2019)Soft set theory, initiated by Molodtsov, is a tool for modeling various types of uncertainty. In this paper, upper and lower alpha-inclusions of a soft set are defined. By using these new notions, some analyzes with respect ... -
Applications of soft union sets to hemirings via SU-h-ideals
Zhan, Jianming; Cagman, Naim; Sezer, Aslihan Sezgin (IOS PRESS, 2014)The aim of this article is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, we introduce the concepts of ... -
A completely new view to soft intersection rings via soft uni-int product
Sezgin, Aslihan; Cagman, Naim; Atagun, Akin Osman (ELSEVIER SCIENCE BV, 2017)In this paper, we make a completely new approach to the classical ring theory via soft set theory, with the concept of soft intersection rings, ideals, (generalized) bi-ideals, interior ideals and quasi-ideals. Particularly, ... -
On Near-Rings with Soft Union Ideals and Applications
Sezgin, Aslihan; Atagun, Akin Osman; Cagman, Naim; Demir, Huseyin (World Scientific Publ Co Pte Ltd, 2022)In this paper, we define soft union near-ring on a soft set by using soft sets, inclusion relation and union of sets. This new notion functions as a bridge among soft set theory, set theory and near-ring theory. We then ... -
Soft Intersection Interior Ideals, Quasi-ideals and Generalized Bi-Ideals; A New Approach to Semigroup Theory II
Sezer, Aslihan Sezgin; Cagman, Naim; Atagun, Akin Osman (OLD CITY PUBLISHING INC, 2014)In this paper, we define soft intersection interior ideals, quasi-ideals and generalized bi-ideals of semigroups, obtain their properties and give the interrelations of them. Moreover, we characterize regular, intra-regular, ... -
Soft intersection near-rings with its applications
Sezgin, Aslihan; Atagun, Akin Osman; Cagman, Naim (SPRINGER, 2012)In this paper, we first define soft intersection near-ring (soft int near-ring) by using intersection operation of sets. This new notion can be regarded as a bridge among soft set theory, set theory and near-ring theory, ... -
Soft Intersection Semigroups, Ideals and Bi-Ideals; a New Application on Semigroup Theory I
Sezer, Aslihan Sezgin; Cagman, Naim; Atagun, Akin Osman; Ali, Muhammed Irfan; Turkmen, Ergul (UNIV NIS, FAC SCI MATH, 2015)In this paper, we define soft intersection semigroups, soft intersection left (right, two-sided) ideals and bi-ideals of semigroups, give their properties and interrelations and we characterize regular, intra-regular, ... -
Union soft substructures of near-rings and N-groups
Sezgin, Aslihan; Atagun, Akin Osman; Cagman, Naim (SPRINGER, 2012)In this paper, we introduce union soft subnear-rings and union soft ideals of a near-ring and union soft N-subgroups and union soft N-ideals of an N-group by using Molodtsov's definition of soft sets and investigate their ...
