JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (10): 19-26.doi: 10.6040/j.issn.1671-9352.0.2014.377

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The attribute functions of P-sets and attribute conjunctive character-application of P-information fusion

ZHANG Jing-xiao, XU Feng-sheng   

  1. School of Mathematical Sciences, Dezhou University, Dezhou 253023, Shandong, China
  • Received:2014-08-20 Revised:2015-03-03 Online:2015-10-20 Published:2015-10-21

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Abstract: By using the structure of P-sets, the concepts of element attribute and attribute function in P-sets are defined. The relationship between P-sets and attribute function, the counting problems of injection attribute function and the counting problems of surjection attribute function are discussed. Then the attribute conjunctive expansion-reduction characteristics of P-information fusion, the theorems of attribute conjunctive expansion of internal P-information fusion, the theorems of attribute conjunctive reduction of outer P-information fusion, the discovery theorems of internal P-information fusion possessed attribute conjunctive expansion, and discovery theorems of outer P-information fusion possessed attribute conjunctive reduction are given. Finally, the application instance of generation-discovery of internal P-information fusion possessed attribute conjunctive expansion is provided.

Key words: P-information fusion, P-sets, attribute function, attribute, attribute conjunctive

CLC Number: 

  • O144
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