2015Advances in intelligent systems research/Advances in Intelligent Systems ResearchOpen access

Hierarchical Granular Computing Theory and its Application

Shoubai Xiao

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Abstract

Granular Computing is a new method of simulating human thinking and solving complex problems in the current field of computational intelligence research.It covers theories, methods and techniques of all relevant granularity, which is the powerful tool of studying complex problem solving, massive data mining and fuzzy information processing and so on.The main idea of granular computing approach is to solve problems at different levels of granularity, reflecting the intelligence in human problem solving process to a great extent.With the deepening of granular computing research work, different theoretical models of granular computing have been acquired from different angles, the major granular computing model includes theoretical model of fuzzy set, theory model of rough set and theory model of commercial space.This paper analyzes the theoretical basis of existing granular computing model and centers on granular computing theory study in the hierarchical order, and has conducted systematic analysis and research for the construction of hierarchical knowledge granularity space, the uncertainty of hierarchical knowledge granularity spatial structure, the uncertainty of rough sets under hierarchical knowledge granular space and knowledge acquisition based on hierarchical knowledge granularity and so on.

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Granular Computing is a new method of simulating human thinking and solving complex problems in the current field of computational intelligence research.It covers theories, methods and techniques of all relevant granularity, which is the powerful tool of studying complex problem solving, massive data mining and fuzzy information processing and so on.The main idea of granular computing approach is to solve problems at different levels of granularity, reflecting the intelligence in human problem solving process to a great extent.With the deepening of granular computing research work, different theoretical models of granular computing have been acquired from different angles, the major granular computing model includes theoretical model of fuzzy set, theory model of rough set and theory model of commercial space.This paper analyzes the theoretical basis of existing granular computing model and centers on granular computing theory study in the hierarchical order, and has conducted systematic analysis and research for the construction of hierarchical knowledge granularity space, the uncertainty of hierarchical knowledge granularity spatial structure, the uncertainty of rough sets under hierarchical knowledge granular space and knowledge acquisition based on hierarchical knowledge granularity and so on.

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Available abstract

Granular Computing is a new method of simulating human thinking and solving complex problems in the current field of computational intelligence research.It covers theories, methods and techniques of all relevant granularity, which is the powerful tool of studying complex problem solving, massive data mining and fuzzy information processing and so on.The main idea of granular computing approach is to solve problems at different levels of granularity, reflecting the intelligence in human problem solving process to a great extent.With the deepening of granular computing research work, different theoretical models of granular computing have been acquired from different angles, the major granular computing model includes theoretical model of fuzzy set, theory model of rough set and theory model of commercial space.This paper analyzes the theoretical basis of existing granular computing model and centers on granular computing theory study in the hierarchical order, and has conducted systematic analysis and research for the construction of hierarchical knowledge granularity space, the uncertainty of hierarchical knowledge granularity spatial structure, the uncertainty of rough sets under hierarchical knowledge granular space and knowledge acquisition based on hierarchical knowledge granularity and so on.

Key concepts: Granular computing, Granularity, Rough set, Computer science, Computational intelligence, Knowledge space, Fuzzy set, Fuzzy logic

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