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Dung Beetle with Reflection Cuckoo Catfish Optimizer for Numerical Optimization and Reservoir Production Optimization. [PDF]
Biomimetics (Basel)Li S, Yin T.
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2017
In this chapter we discuss a wide range of basic topics related to vectors of real numbers. Some of the properties carry over to vectors over other fields, such as complex numbers, but the reader should not assume this. Occasionally, for emphasis, we will refer to “real” vectors or “real” vector spaces, but unless it is stated otherwise, we are ...
Garrett Birkhoff, Saunders Mac Lane
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In this chapter we discuss a wide range of basic topics related to vectors of real numbers. Some of the properties carry over to vectors over other fields, such as complex numbers, but the reader should not assume this. Occasionally, for emphasis, we will refer to “real” vectors or “real” vector spaces, but unless it is stated otherwise, we are ...
Garrett Birkhoff, Saunders Mac Lane
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Information Sciences, 1991
Abstract Let V denote a vector space over a field F and let A denote a fuzzy subspace of V over a fuzzy subfield K of F . Let X be a fuzzy subset of V such that X ⊆ A and let 〈 X 〉 denote the intersection of all fuzzy subspaces of V over K that contain X and are contained in A . We characterize the fuzzy subspace 〈 X 〉 of A
D. S. Malik, John N. Mordeson
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Abstract Let V denote a vector space over a field F and let A denote a fuzzy subspace of V over a fuzzy subfield K of F . Let X be a fuzzy subset of V such that X ⊆ A and let 〈 X 〉 denote the intersection of all fuzzy subspaces of V over K that contain X and are contained in A . We characterize the fuzzy subspace 〈 X 〉 of A
D. S. Malik, John N. Mordeson
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ON VALUATIONS OF VECTOR SPACES
JP Journal of Algebra, Number Theory and Applications, 2016Let \(R\) be an integral domain with quotient field \(K\) and assume that \(M\) is a unitary torsion-free \(R\)-module. Following the paper [\textit{J. Moghaderi} and \textit{R. Nekooei}, Int. Electron. J. Algebra 8, 18--29 (2010; Zbl 1257.13002)] the authors call \(M\) a valuation module if for each \(0\neq x\in K\), either \(xM\subseteq M\) or \(x ...
Irwan, Sri Efrinita +2 more
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2011 IEEE International Conference on Granular Computing, 2011
Rough set theory proposed by Pawlak, is a complementary generalization of classical set theory. The relations between rough sets and algebraic systems endowed with two binary operations such as rings, groups and semigroups have been already considered. Wu, Xie and Cao defined a pair of rough approximation operators based on a sub-space.
Mingfen Wu, Xiangyun Xie
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Rough set theory proposed by Pawlak, is a complementary generalization of classical set theory. The relations between rough sets and algebraic systems endowed with two binary operations such as rings, groups and semigroups have been already considered. Wu, Xie and Cao defined a pair of rough approximation operators based on a sub-space.
Mingfen Wu, Xiangyun Xie
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Proceedings 1999 International Conference on Image Processing (Cat. 99CH36348), 1999
This paper focuses on a novel class of morphological filters called levelings and their extension to vector spaces. Unlike many filtering techniques reported in the literature, levelings suppress details while preserving perfectly the contours of the remaining objects.
Cristina Gomila, Fernand Meyer
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This paper focuses on a novel class of morphological filters called levelings and their extension to vector spaces. Unlike many filtering techniques reported in the literature, levelings suppress details while preserving perfectly the contours of the remaining objects.
Cristina Gomila, Fernand Meyer
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Applied Mathematics and Computation, 2013
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Oskar Maria Baksalary, Götz Trenkler
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Oskar Maria Baksalary, Götz Trenkler
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