Results 241 to 250 of about 902,430 (282)

Rough uniformity of topological rough groups and L-fuzzy approximation groups

Journal of Intelligent & Fuzzy Systems, 2022
Starting with an approximation space as the underlying structure, we look at the rough uniformity of a topological rough group. Next, taking L as a complete residuated lattice, we consider L-subgroup and normal L-subgroup of a group to create the L-fuzzy upper rough subgroup, and the L-fuzzy lower rough subgroup within the framework of the L-fuzzy ...
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Rough projective representations of rough groups

Baku Mathematical Journal
In this paper, we introduce the concepts of rough projective representations of rough groups and discuss their relations with rough 2-cocycle. In particular, we deduce that any rough projective representation associated with a rough multiplier is equivalent to a rough representation if and only if a rough multiplier is a rough coboundary.
Kieou, E., Todjro, M., Mensah, Y.
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Rough Invariant Subgroup's Properties and Rough Quotient Group

2008 International Conference on Apperceiving Computing and Intelligence Analysis, 2008
Rough 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, 2012
It 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

2005
The 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, Suqing Han, Daoguo Li, Lijun Sun   +3 more
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Incremental rough reduction with stable attribute group

Information Sciences, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Xin, Li, Miaomiao, Fujita, Hamido, Liu, Dun, Li, Tianrui   +4 more
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The product structure of fuzzy rough sets on a group and the rough T-fuzzy group

Information Sciences, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Jiashang, Wu, Congxin, Chen, Degang   +2 more
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Rough surfaces and the renormalization group

Journal of Mathematical Physics, 1990
Perturbative 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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