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Rough Invariant Subgroup's Properties and Rough Quotient Group
2008 International Conference on Apperceiving Computing and Intelligence Analysis, 2008Rough set theory is not only a new mathematical tool dealing with vagueness and uncertainty but also a new effective soft computing method. It was been widely used in the area of artificial intelligence, data mining, pattern recognition, decision analysis, fault diagnosis and so on.
Yue-Hao Yan, Jian-Ping Li, De-Song Wang
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On rough approximations of groups
International Journal of Machine Learning and Cybernetics, 2012It is one of useful methods for research of group theory to construct a new group by using known groups. Lower and upper approximation operators of rough sets are applied into group theory and so the notion of rough group has been introduced. In this paper, we further study the properties of rough groups and examine relationships between subgroups and ...
Changzhong Wang, Degang Chen, Qinghua Hu
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Rough Group, Rough Subgroup and Their Properties
2005The theory of rough sets is an extension of the set theory, for the study of intelligent systems characterized by insufficient and incomplete information. Since proposed by Pawlak, rough sets have evoked a lot of research. Theoretic study has included algebra aspect of rough sets.
Duoqian Miao +3 more
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Incremental rough reduction with stable attribute group
Information Sciences, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Xin +4 more
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The product structure of fuzzy rough sets on a group and the rough T-fuzzy group
Information Sciences, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Jiashang +2 more
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Rough surfaces and the renormalization group
Journal of Mathematical Physics, 1990Perturbative techniques are used to derive a renormalization group equation for a free scalar field in a domain with rough boundaries and mixed boundary conditions. It is found that to second order in the surface height the boundary conditions scale not only as the perturbed area, but also with a nonlinear term that arises from matching orders of ...
Roger Dashen, Gregory J. Orris
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THE LEFT (RIGHT) ROUGH APPROXIMATIONS IN A GROUP
JP Journal of Algebra, Number Theory and Applications, 2019Summary: Rough set theory proposes a new mathematical approach to model vagueness. In this paper, we introduce a new definition for rough approximations with respect to the subgroups of a group, which is called the left (right) lower and upper approximations. In fact, we prove that this definition is a generalization of definition in [\textit{N. Kuroki}
Bagirmaz, Nurettin, Tasbozan, Hatice
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Group of Children Playing Rough
This image shows six children involved in some sort of physical game. The note on the back names one of the kids as "Skippy" Sheldon. This photograph was either taken or collected by Amagansett historian and librarian Carleton Kelsey.Kelsey, Carleton +1 more
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New minimal axiom group of rough set
Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788), 2004Rough set axiomatization is one aspect of rough set study, and the purpose is to characterize rough set theory using dependable and minimal axiom groups. Thus, rough set theory can be studied by logic and axiom system methods. To characterize the rough set theory, an axiom group named G, consisting of three axioms, is proposed.
null Jianhua Dai +2 more
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Applications of roughness in soft-intersection groups
Computational and Applied Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ayub, Saba +3 more
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