The Experts below are selected from a list of 4206 Experts worldwide ranked by ideXlab platform
Qing Liu - One of the best experts on this subject based on the ideXlab platform.
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properties of rough sets in Normed Linear Space and its proof
Granular Computing, 2007Co-Authors: Hui Sun, Ying Wang, Qing LiuAbstract:The literature exploits an intelligent method to spread rough sets to Normed Linear Space where there is a basis, establishes rough sets in Normed Linear Space, and puts forward an upper and lower approximation calculation formula. This paper further researched the problems of rough sets in Normed Space and obtained some useful results.
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GrC - Properties of Rough Sets in Normed Linear Space and its Proof
2007 IEEE International Conference on Granular Computing (GRC 2007), 2007Co-Authors: Hui Sun, Ying Wang, Qing LiuAbstract:The literature exploits an intelligent method to spread rough sets to Normed Linear Space where there is a basis, establishes rough sets in Normed Linear Space, and puts forward an upper and lower approximation calculation formula. This paper further researched the problems of rough sets in Normed Space and obtained some useful results.
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the research of rough sets in Normed Linear Space
Lecture Notes in Computer Science, 2006Co-Authors: Hui Sun, Qing LiuAbstract:As a new mathematical theory, rough sets have been applied to process imprecise, uncertain and incomplete data. The research of rough sets has been fruitful in finite and non-empty sets. Rough sets, however, only serve as a theoretic tool to discretize the real function. As far as the real function research is concerned, the research work to define rough sets in the real function is infrequent. In this paper, we exploit a new method to define rough sets in Normed Linear Space. We put forward an upper and lower approximation definition, and make preliminary research in the properties of rough sets. A new theoretical tool is provided to study the approximation solutions to differential equation and functional variation in Normed Linear Space.This research is significant in that it extends the application of rough sets to a new field.
Hui Sun - One of the best experts on this subject based on the ideXlab platform.
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properties of rough sets in Normed Linear Space and its proof
Granular Computing, 2007Co-Authors: Hui Sun, Ying Wang, Qing LiuAbstract:The literature exploits an intelligent method to spread rough sets to Normed Linear Space where there is a basis, establishes rough sets in Normed Linear Space, and puts forward an upper and lower approximation calculation formula. This paper further researched the problems of rough sets in Normed Space and obtained some useful results.
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GrC - Properties of Rough Sets in Normed Linear Space and its Proof
2007 IEEE International Conference on Granular Computing (GRC 2007), 2007Co-Authors: Hui Sun, Ying Wang, Qing LiuAbstract:The literature exploits an intelligent method to spread rough sets to Normed Linear Space where there is a basis, establishes rough sets in Normed Linear Space, and puts forward an upper and lower approximation calculation formula. This paper further researched the problems of rough sets in Normed Space and obtained some useful results.
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the research of rough sets in Normed Linear Space
Lecture Notes in Computer Science, 2006Co-Authors: Hui Sun, Qing LiuAbstract:As a new mathematical theory, rough sets have been applied to process imprecise, uncertain and incomplete data. The research of rough sets has been fruitful in finite and non-empty sets. Rough sets, however, only serve as a theoretic tool to discretize the real function. As far as the real function research is concerned, the research work to define rough sets in the real function is infrequent. In this paper, we exploit a new method to define rough sets in Normed Linear Space. We put forward an upper and lower approximation definition, and make preliminary research in the properties of rough sets. A new theoretical tool is provided to study the approximation solutions to differential equation and functional variation in Normed Linear Space.This research is significant in that it extends the application of rough sets to a new field.
T. Bag - One of the best experts on this subject based on the ideXlab platform.
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some fixed point results in fuzzy cone Normed Linear Space
Journal of the Egyptian Mathematical Society, 2019Co-Authors: Phurba Tamang, T. BagAbstract:In this paper, the well known fixed point theorems of Banach, Kannan, and Chatterjee are extended to the fuzzy cone Normed Linear Space.
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A new generalization of Normed Linear Space
Topology and its Applications, 2019Co-Authors: Anirban Kundu, T. Bag, Sk. NazmulAbstract:Abstract In this paper, it is shown that the G-Normed Space introduced by K.A. Khan is not actually a generalization of Normed Linear Space. In fact, every G-Normed Space is topologically the same as a Normed Linear Space. To get over this situation a new notion of generalized norm in a Linear Space is introduced and its topological structure is studied.
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Bounded Linear operators in quasi-Normed Linear Space
Journal of the Egyptian Mathematical Society, 2015Co-Authors: Gobardhan Rano, T. BagAbstract:Abstract In this paper, we define continuity and boundedness of Linear operators in quasi-Normed Linear Space. Quasi-norm Linear Space of bounded Linear operators is deduced. Concept of dual Space is developed.
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Fixed point theorems on fuzzy Normed Linear Spaces
Information Sciences, 2006Co-Authors: T. Bag, S. K. SamantaAbstract:In this paper, definitions of strongly fuzzy convergent sequence, l-fuzzy weakly convergent sequence and l-fuzzy weakly compact set are given in a fuzzy Normed Linear Space. The concepts of fuzzy normal structure, fuzzy non-expansive mapping, uniformly convex fuzzy Normed Linear Space are introduced and fixed point theorems for fuzzy non-expansive mappings are proved.
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Fuzzy bounded Linear operators
Fuzzy Sets and Systems, 2005Co-Authors: T. Bag, S. K. SamantaAbstract:In this paper, a notion of boundedness of a Linear operator from a fuzzy Normed Linear Space to another fuzzy Normed Linear Space is introduced and two types (strong and weak) of fuzzy bounded Linear operators are defined. Relation between fuzzy continuity and fuzzy boundedness is studied. Definitions of fuzzy bounded Linear functionals are given and the notions of fuzzy dual Spaces are developed. The Hahn-Banach theorem, the Open mapping theorem, the Closed graph theorem and the Uniform boundedness principle theorem are established.
Blagovest Sendov - One of the best experts on this subject based on the ideXlab platform.
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on the Normed Linear Space of hausdorff continuous functions
Lecture Notes in Computer Science, 2006Co-Authors: Roumen Anguelov, Svetoslav Markov, Blagovest SendovAbstract:In the present work we show that the Linear operations in the Space of Hausdorff continuous functions are generated by an extension property of these functions. We show that the supremum norm can be defined for Hausdorff continuous functions in a similar manner as for real functions, and that the Space of all bounded Hausdorff continuous functions on an open set is a Normed Linear Space. Some issues related to approximations in the Space of Hausdorff continuous functions by subSpaces are also discussed.
Hemen Dutta - One of the best experts on this subject based on the ideXlab platform.
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on some n Normed Linear Space valued difference sequences
Journal of The Franklin Institute-engineering and Applied Mathematics, 2011Co-Authors: Hemen DuttaAbstract:Abstract The main aim of this article is to extend the notion of strongly Cesaro summable and strongly lacunary summable real sequences to n -Normed Linear Space valued ( n -nls valued) difference sequences. Consequently we introduce the Spaces | σ 1 |( X , ∇ ) and N θ ( X , ∇ ), respectively, where X is an n -Normed Space and ∇ is a difference operator. We investigate these Spaces for completeness as well as for the relationship between these Spaces.
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on n Normed Linear Space valued strongly c 1 summable difference sequences
Asian-european Journal of Mathematics, 2010Co-Authors: Hemen DuttaAbstract:In this article we extend the notion of famous strongly (C,1)-summable or strongly Cesaro summable real sequences to n-Normed Linear Space valued difference sequences. Consequently we introduce the notions of n-Normed Linear Space (n-nls) valued strongly Cesaro -summable, strongly Cesaro -null and strongly Cesaro -bounded sequences. Further we extend and investigate the notion of n-norm and derived (n - l) - norms, for all l = 1, 2, …, n - 1 on the Spaces of these three types of sequences. We also prove the Fixed point theorem for these Spaces, which are n-Banach Spaces under certain conditions and compute the n-isometrically isomorphic Spaces. This article also introduces an idea for constructing n-norm on Spaces of n-nls valued summable difference sequences.
