The extreme doubly stochastic quadratic operators on two dimensional simplex

Multi agent systems and consensus problems are theoretical aspect of Quadratic Stochastic Operators (QSO). The extreme doubly stochastic quadratic operators (EDSQOs) on two-dimensional simplex (2DS) exposes a complex problem within QSO and majorization theories in non-linear model. Previous research...

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Main Authors:	Abdulghafor, Rawad Abdulkhaleq Abdulmolla, Turaev, Sherzod, Abubakar, Adamu, Zeki, Akram M.
Format:	Conference or Workshop Item
Language:	English English
Published:	The Institute of Electrical and Electronics Engineers, Inc. 2016
Subjects:	T58.5 Information technology
Online Access:	http://irep.iium.edu.my/51283/ http://irep.iium.edu.my/51283/ http://irep.iium.edu.my/51283/ http://irep.iium.edu.my/51283/1/51283_The_extreme_doubly.pdf http://irep.iium.edu.my/51283/4/51283-The%20Extreme%20Doubly%20Stochastic%20Quadratic%20Operators%20on%20Two%20Dimensional%20Simplex_SCOPUS.pdf

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spelling	iium-512832019-10-03T01:28:39Z http://irep.iium.edu.my/51283/ The extreme doubly stochastic quadratic operators on two dimensional simplex Abdulghafor, Rawad Abdulkhaleq Abdulmolla Turaev, Sherzod Abubakar, Adamu Zeki, Akram M. T58.5 Information technology Multi agent systems and consensus problems are theoretical aspect of Quadratic Stochastic Operators (QSO). The extreme doubly stochastic quadratic operators (EDSQOs) on two-dimensional simplex (2DS) exposes a complex problem within QSO and majorization theories in non-linear model. Previous research studies on EDSQOs fails to present full transition matrices and operators of EDSQOs on 2DS. Crucial to that is the classification of those operators within each permutation. In order to address these gaps, this research designed all the transition matrices for each EDSQO on 2DS under the sufficient conditions of majorization concept. Hence, the study defines all the EDSQOs on 2DS and investigate the sufficient conditions of Majorization concept for EDSQOs on 2DS. Matlab is utilize for analysis of evaluating the number of EDSQOs on 2DS. The result of the analysis of the transition matrices and operators indicates 222 EDSQOs on 2DS. Further analysis enables this research to classify the 222 EDSQOs into 37 groups of EDSQOs based on a permutation of each EDSQOs. This study has impact on a model for consensus problems and multi agent systems. The Institute of Electrical and Electronics Engineers, Inc. 2016 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/51283/1/51283_The_extreme_doubly.pdf application/pdf en http://irep.iium.edu.my/51283/4/51283-The%20Extreme%20Doubly%20Stochastic%20Quadratic%20Operators%20on%20Two%20Dimensional%20Simplex_SCOPUS.pdf Abdulghafor, Rawad Abdulkhaleq Abdulmolla and Turaev, Sherzod and Abubakar, Adamu and Zeki, Akram M. (2016) The extreme doubly stochastic quadratic operators on two dimensional simplex. In: 2015 4th International Conference on Advanced Computer Science Applications and Technologies (ACSAT 2015), 8th-10th Dec. 2015, Kuala Lumpur. http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7478742&filter%3DAND%28p_IS_Number%3A7478698%29%26pageNumber%3D2 10.1109/ACSAT.2015.36
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	T58.5 Information technology
spellingShingle	T58.5 Information technology Abdulghafor, Rawad Abdulkhaleq Abdulmolla Turaev, Sherzod Abubakar, Adamu Zeki, Akram M. The extreme doubly stochastic quadratic operators on two dimensional simplex
description	Multi agent systems and consensus problems are theoretical aspect of Quadratic Stochastic Operators (QSO). The extreme doubly stochastic quadratic operators (EDSQOs) on two-dimensional simplex (2DS) exposes a complex problem within QSO and majorization theories in non-linear model. Previous research studies on EDSQOs fails to present full transition matrices and operators of EDSQOs on 2DS. Crucial to that is the classification of those operators within each permutation. In order to address these gaps, this research designed all the transition matrices for each EDSQO on 2DS under the sufficient conditions of majorization concept. Hence, the study defines all the EDSQOs on 2DS and investigate the sufficient conditions of Majorization concept for EDSQOs on 2DS. Matlab is utilize for analysis of evaluating the number of EDSQOs on 2DS. The result of the analysis of the transition matrices and operators indicates 222 EDSQOs on 2DS. Further analysis enables this research to classify the 222 EDSQOs into 37 groups of EDSQOs based on a permutation of each EDSQOs. This study has impact on a model for consensus problems and multi agent systems.
format	Conference or Workshop Item
author	Abdulghafor, Rawad Abdulkhaleq Abdulmolla Turaev, Sherzod Abubakar, Adamu Zeki, Akram M.
author_facet	Abdulghafor, Rawad Abdulkhaleq Abdulmolla Turaev, Sherzod Abubakar, Adamu Zeki, Akram M.
author_sort	Abdulghafor, Rawad Abdulkhaleq Abdulmolla
title	The extreme doubly stochastic quadratic operators on two dimensional simplex
title_short	The extreme doubly stochastic quadratic operators on two dimensional simplex
title_full	The extreme doubly stochastic quadratic operators on two dimensional simplex
title_fullStr	The extreme doubly stochastic quadratic operators on two dimensional simplex
title_full_unstemmed	The extreme doubly stochastic quadratic operators on two dimensional simplex
title_sort	extreme doubly stochastic quadratic operators on two dimensional simplex
publisher	The Institute of Electrical and Electronics Engineers, Inc.
publishDate	2016
url	http://irep.iium.edu.my/51283/ http://irep.iium.edu.my/51283/ http://irep.iium.edu.my/51283/ http://irep.iium.edu.my/51283/1/51283_The_extreme_doubly.pdf http://irep.iium.edu.my/51283/4/51283-The%20Extreme%20Doubly%20Stochastic%20Quadratic%20Operators%20on%20Two%20Dimensional%20Simplex_SCOPUS.pdf
first_indexed	2023-09-18T21:12:35Z
last_indexed	2023-09-18T21:12:35Z
_version_	1777411351888527360

The extreme doubly stochastic quadratic operators on two dimensional simplex

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