J4 ›› 2009, Vol. 44 ›› Issue (11): 93-96.

• Articles • Previous Articles    

Dynamic characteristics of rough integrals

 HUANG Jiang-Yan, XU Xiu-Qing, FANG Wen-Jing   

  1. 1. Institute of Natural Science, Jiangxi University of Science and Technology, Ganzhou 341000, Jiangxi， China;2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China; 3. Dezhou College,  Dezhou 253000, Shandong， China; 4. Dezhou Vocational and Technical College, Dezhou 253034, Shangdong， China
  • Received:2009-01-16 Online:2009-11-16 Published:2009-11-25

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Abstract:

Based on the function S-rough sets and F-rough integral, the dynamic characteristics of rough integrals are studied. Two concepts, rough integral chain, rough integral ring, four theorems, up integral chain,down integral chain,rough integral chain theorem and existence of integral chain are given.Conditions of integral chain can be closed. Some of their characteristics are discussed, and the integral ring theorem is obtained. Finally, application of mean value theorem in rough integral chain are discussed. All theorems and conclusions present the foundation for further study on rough integrals.

Key words: the function S-rough sets; dynamic characteristics; rough integral chain;rough integral ring

CLC Number: 

  • O159
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