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Some notions on convex soft sets
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Publication Date
Thu Jan 24 2019
Journal Name
Journal Of Al-qadisiyah For Computer Science And Mathematics
On strongly E-convex sets and strongly E-convex cone sets
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              -convex sets and -convex functions, which are considered as an important class of generalized convex sets and convex functions, have been introduced and studied by Youness [5] and other researchers. This class has recently extended, by Youness, to strongly -convex sets and strongly -convex functions. In these generalized classes, the definitions of the classical convex sets and convex functions are relaxed and introduced with respect to a mapping . In this paper, new properties of strongly -convex sets are presented. We define strongly -convex hull, strongly -convex cone, and strongly -convex cone hull and we proof some of their properties.  Some examples to illustrate the aforementioned concepts and to cl

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Publication Date
Wed Mar 29 2023
Journal Name
Aip Conference Proceedings
(𝓹,𝔼)-convex sets and (𝓹,𝔼)-Convex functions with their properties
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Publication Date
Wed Oct 20 2021
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Some Games with Soft -ᶅ-Pre-Generalized Open Sets
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    In this paper, the concept of soft closed groups is presented using the soft ideal pre-generalized open and soft pre-open, which are -ᶅ- - -closed sets " -closed", Which illustrating several characteristics of these groups.  We also use some games and   -  Separation Axiom, such as (Æ®0, Ó¼, ᶅ) that use many tables and charts to illustrate this. Also, we put some proposals to study the relationship between these games and give some examples.

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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
g-Closed Soft Sets in Soft Closure Spaces
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Abstract<p>The aim of the present work is to define a new class of closed soft sets in soft closure spaces, namely, generalized closed soft sets (<italic>gc</italic>-soft sets, for short) which are defined over an initial universe set with a fixed set of parameters. This new class is a generalization to the class of closed soft sets. A necessary condition for a <italic>gc</italic>-soft set to be a soft closed is also obtainable. Moreover, the union and intersection of two <italic>gc</italic>-soft sets are discussed. Besides, some properties of <italic>gc</italic>-soft sets in the product soft closure spaces are also studied. Also, as an application of <jat></jat></p> ... Show More
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Scopus Crossref
Publication Date
Sun Nov 17 2019
Journal Name
Journal Of Interdisciplinary Mathematics
Generalized closed fuzzy soft sets in Čech fuzzy soft closure spaces
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Publication Date
Wed Aug 09 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Some Results on Semi-preopen Sets
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    The definition of semi-preopen sets were first introduced by "Andrijevic" as were is defined by :Let (X ,  ) be a topological space, and let  A ⊆,    then Ais called semi-preopen set if ⊆∘ .        In this paper, we study the properties of semi-preopen sets but by another  definition which is equivalent to the first definition and we also study the relationships among it and (open, α-open, preopen and semi-p-open )sets.

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Publication Date
Mon Aug 07 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Some Results on Semi-preopen Sets
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      The definition of semi-preopen sets were first introduced by "Andrijevic" as were is defined by :Let (X ,  ) be a topological space, and let  A ⊆,    then A is called semi-preopen set if ⊆∘ .        In this paper, we study the properties of semi-preopen sets but by another  definition which is equivalent to the first definition and we also study the relationships among it and (open, α-open, preopen and semi-p-open )sets.

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Publication Date
Thu Dec 31 2020
Journal Name
Journal Of New Theory
Brief review of soft sets and its application in coding theory
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In this paper, we will focus to one of the recent applications of PU-algebras in the coding theory, namely the construction of codes by soft sets PU-valued functions. First, we shall introduce the notion of soft sets PU-valued functions on PU-algebra and investigate some of its related properties.Moreover, the codes generated by a soft sets PU-valued function are constructed and several examples are given. Furthermore, example with graphs of binary block code constructed from a soft sets PU-valued function is constructed.

Publication Date
Mon May 22 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Dual Notions of Prime Modules
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       Let R be a commutative ring with unity .M an R-Module. M is called coprime module     (dual notion of prime module) if ann M =ann M/N for every proper submodule N of M   In this paper we study coprime modules we give many basic properties of this concept. Also we give many characterization of it under certain of module.

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Publication Date
Thu Oct 26 2017
Journal Name
International Journal Of Pure And Applied Mathematics
ON CONVEX FUNCTIONS, $E$-CONVEX FUNCTIONS AND THEIR GENERALIZATIONS: APPLICATIONS TO NON-LINEAR OPTIMIZATION PROBLEMS
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Contents IJPAM: Volume 116, No. 3 (2017)

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