Hassan H. Ebrahim

University of Tikrit

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Fuzzy λ-algebra with some related concepts

AIP conference proceedings (2023)

Mohaimen Muhammed Abbood Ali Al-Fayadh Hassan H. Ebrahim

Views Icon Views Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Icon Share Twitter Facebook Reddit LinkedIn Tools Icon Tools Reprints and Permissions Cite Icon Cite Search Site Citation Mohaimen Muhammed Abbood, Ali Al-Fayadh, Hassan H. Ebrahim; Fuzzy λ-algebra with some related concepts. AIP Conf. Proc. 13 February 2023; 2414 (1): 040081. https://doi.org/10.1063/5.0116785 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentAIP Publishing PortfolioAIP Conference Proceedings Search Advanced Search |Citation Search

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10.1063/5.0116785

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On studying bi-(Gamma)-algebra and some related concepts

Mohaimen M. Abbood Ali Al-Fayadh Hassan H. Ebrahim

The aim of this research paper is to introduce the concept of bi-(Gamma)-algebra space (bi-gamma algebra space). The concept of bi-(mu)-measurable set in a bi-(Gamma)-algebra space is defined. With this concept, some properties of bi-(Gamma)-algebra space are proved. We then define various separation axioms for bi-(Gamma)-algebra space such as (M_{0},M_{1}, M_{2}, M_{3},) and (M_{4}); then the relationships between them are studied. In addition, the concept of measurable function between two bi-measurable spaces is introduced and some results are discussed.

10.22075/ijnaa.2022.5772

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A subclass of analytic functions with negative coefficient defined by generalizing Srivastava-Attiya operator

AIP conference proceedings (2024)

Suha J. Hamaad Abdul Rahman S. Juma Hassan H. Ebrahim

Subclass

Operator (biology)

10.1063/5.0209930

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Fuzzy σ–algebra and some related concepts

AIP conference proceedings (2023)

Ibrahim S. Ahmed Ali Al-Fayadh Hassan H. Ebrahim

10.1063/5.0162037

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Study of some properties of P-field

Journal of Discrete Mathematical Sciences and Cryptography (2023)

Hind F. Abbas Hassan H. Ebrahim Ali Al-Fayadh

This work studies some properties of P – field, which is a generalization of s–algebra, d – field and l – algebra. The relationship between each of an a – field, a - s - field, b - field, b - s - field, p - system and monotone class with P – field have been studied where it is shown that P – field is a stronger form of these concepts.

Field extension

Field theory (psychology)

10.47974/jdmsc-1673

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Study on Γ-algebra with some related concepts

AIP conference proceedings (2023)

Mohaimen Muhammed Abbood Hassan H. Ebrahim Ali Al-Fayadh

Views Icon Views Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Icon Share Twitter Facebook Reddit LinkedIn Tools Icon Tools Reprints and Permissions Cite Icon Cite Search Site Citation Mohaimen Muhammed Abbood, Hassan H. Ebrahim, Ali Al-Fayadh; Study on Γ-algebra with some related concepts. AIP Conf. Proc. 13 February 2023; 2414 (1): 040059. https://doi.org/10.1063/5.0115738 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentAIP Publishing PortfolioAIP Conference Proceedings Search Advanced Search |Citation Search

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10.1063/5.0115738

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On α–field and β–field

Journal of Physics Conference Series (2019)

Ibrahim S. Ahmed Hassan H. Ebrahim

Abstract The objective of this paper is, first, to introduce and study the concept of α–field as a generalization of field, σ–field and δ–field, and we discuss the properties of this concept. Furthermore, we study the relationships between σ–field and σ–field. As a first σ–field is α–field. second, to introduce the concept of β–field as a generalization of σ–field, β–σ–field and ring. So, we prove that every σ–field is β–field and we obtain some important results deals with this concept. Finally, we introduce and study the concept of restriction of β– field and we prove that, if ℘ is a β– field of a set ℵ and K is a non-empty subsets of ℵ. Then ℘|K is a β–field of a set K.

10.1088/1742-6596/1294/3/032015

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Modifications of Hestenes and Stiefel CG Method for Solving Unconstrained Optimization Problems

Isam H. Halil Khalil K. Abbo Hassan H. Ebrahim

Nonlinear conjugate gradient methods have a very nice theory, with a lot of important results on their convergence. This is the main argument for which these methods are intensely used in solving practical unconstrained optimization applications. There are plenty of conjugate gradient methods and can be divided to the standard conjugate gradients, hybrid and parameterized and others. This paper concerned with parameterized type conjugate gradient methods, a new search direction for nonlinear conjugate gradient algorithms is presented in this study, which is based on the Hestenes-Stefel approach and conjugacy condition, the descent property and global convergence for convex functions is proved. Numerical experiments show that the proposed algorithm is promising.

Proximal Gradient Methods

Descent (aeronautics)

Convex conjugate

Biconjugate gradient method

10.1109/iccitm53167.2021.9677756

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γ– algebra of Sets and Some of its Properties

Iraqi Journal of Science (2022)

Ibrahim S. Ahmed Hassan H. Ebrahim Ali Al-Fayadh

The main objective of this work is to generalize the concept of fuzzy algebra by introducing the notion of fuzzy algebra. Characterization and examples of the proposed generalization are presented, as well as several different properties of fuzzy algebra are proven. Furthermore, the relationship between fuzzy algebra and fuzzy algebra is studied, where it is shown that the fuzzy algebra is a generalization of fuzzy algebra too. In addition, the notion of restriction, as an important property in the study of measure theory, is studied as well. Many properties of restriction of a nonempty family of fuzzy subsets of fuzzy power set are investigated and it is shown that the restriction of fuzzy algebra is fuzzy algebra too.

Fuzzy subalgebra

Fuzzy measure theory

Fuzzy Mathematics

10.24996/ijs.2022.63.11.28

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Measure defined on Γ–algebra and some of their generalizations

Journal of Interdisciplinary Mathematics (2023)

Mohaimen M. Abbood Hassan H. Ebrahim Ali Al-Fayadh Ahmed J. Obaid

This work aims to introduce concepts about Γ–algebra calculate relative to Γ–algebra and outer measure in relation to Γ–algebra are examples. After that, we establish a relationship between them. The notions of null-additive and weakly null-additive as two generalizations of measure and extreme measure are introduced and studied too.

Null (SQL)

10.47974/jim-1502

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Citations (2)