Abstract
The development of information technology brings the challenge of data redundancy and data shortage to information fusion. Based on the dynamic boundary characteristics of p-set, this paper analyzes the structure and generation of p-augmented matrix, and then analyzes the dynamic generation of information equivalence class, and then proposes an intelligent acquisition algorithm of information equivalence class based on matrix reasoning. In addition, this paper analyzes two types of information fusion, namely information redundancy fusion and information supplement fusion. Then, the relationship among redundant information fusion, supplementary information fusion, and information equivalence classes is analyzed. Finally, this paper presents the application of intelligent acquisition of information equivalence class in information retrieval.
Highlights
Information fusion widely exists in the biological world, and it is an intrinsic feature of organisms from the ancient times to the present [1]
We find that information equivalence class and information fusion are equivalent. (e) We give the application of intelligent acquisition of information equivalence class on information fusion, which can be used in unknown information discovery
Under the condition that some attributes are added to the attribute set α of ( x ), some information elements are deleted in ( x ), so ( x ) generate ( x ) F ; that is, the boundary of ( x ) shrinks inward to generate ( x ) F ; by using the equivalence class concept in mathematics, we get that: ( x ) F is the α F information equivalence class [ x ] F generated by ( x ); the reasons are as following: the attribute set α F for ∀ xi, x j, xk ∈ [ x ] F satisfies the characteristics of the equivalence class: reflexivity, symmetry, and transitivity
Summary
Information fusion widely exists in the biological world, and it is an intrinsic feature of organisms from the ancient times to the present [1]. Two kinds of information fusion algorithms are proposed by analyzing p-augmented matrix reasoning from the dynamic boundary of p-set. The purpose of this paper is to improve the dynamic boundary of the p-set and its generated p-augmented matrix for information fusion based on the function p-sets, the inverse p-sets, and the function inverse p-sets. The researches given in this paper are as follows: (a) we give the existing fact of the structure and logical features of p-sets, we give the structure and generation method of p-augmented matrix. These concepts are preparations for reading this paper. (b) We analyze the dynamic boundary features and the generation of information equivalence classes of p-sets. We find that information equivalence class and information fusion are equivalent. (e) We give the application of intelligent acquisition of information equivalence class on information fusion, which can be used in unknown information discovery
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