Skip to main content
Log in

Extension theory and its application

  • Reviews
  • Published:
Chinese Science Bulletin

Abstract

The articleExtension Set and Noncompatible Problems was published in 1983. It proclaimed the birth of extension theory. Its objects of study are contradictory problems in the realistic world; its theoretical pillars are matter element theory and extension set theory. Its basic methods are extension methods. Its practical methods are extension engineering methods, including the extension information method, extension system method and extension decision method, etc. Basic theory, practical method and application of extension theory in economy, management, control and artificial intelligence will be introduced.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Cai Wen, The extension set and non-compatible problem,Science Exploration (in Chinese), 1983, 3(1): 83.

    Google Scholar 

  2. Cai Wen, The extension set and non-compatible problem,Advances Mathematics and Mechanics in China (in Chinese), Vol.2, (ed. Chien Weizang), Beijing: International Academic Publishers, 1990, 1–21.

    Google Scholar 

  3. Cai Wen, Yang Chunyan, Lin Weichu,Methods of Extension Engineering (in Chinese), Beijing: Science Press, 1997.

    Google Scholar 

  4. Cai Wen, Sun Hong’an and Yang Yi-minget al., From Matterelement Analysis to Extenics in Chinese, Beijing: Science and Technology Documentation Publishers, 1995.

    Google Scholar 

  5. Cai Wen,Matterelement Models and Their Application (in Chinese), Beijing: Science and Technology Documentation Publishers, 1994.

    Google Scholar 

  6. Cai Wen,Matter-Element Analysis (in Chinese), Guangzhou: Guangdong Higher Education Publishers, 1987.

    Google Scholar 

  7. Cai Wen, Introduction of Extenics,System Engineering Theory and Practice (in Chinese), 1998, 18(1): 76.

    Google Scholar 

  8. David, K. W. Ng, Cai Wen, Treating non-compatible problem from matter-element analysis to extenics,ACM SICICE Bulletin, 1997, 22(3): 1.

    Google Scholar 

  9. Liu Fa-gui, Characteristic element in matter-element analysis,From Matter-Element Analysis to Extenics (ed. Cai Wen) (in Chinese), Beijing: Science and Technology Documentation Publishers, 1995, 31–33.

    Google Scholar 

  10. Yang Chunyan, Affair-element and its application,System Engineering Theory and Practice (in Chinese), 1998, 18(2): 80.

    Google Scholar 

  11. Zuo Jing Gong Shaodong, Zuo Ninget al., Limitation domain implication system and its application to diagnose and scheme,System Engineering Theory and Pratice (in Chinese), 1998, 18(2): 87.

    Google Scholar 

  12. Cai Wen, Transforming bridge method and economic problem,Technology Economics and Mathematical Economics, 1991, 12: 117.

    Google Scholar 

  13. Huang Shiqiang, Conjugate system of matter-element and the conjugate strategy.System Engineering Theory and Practice (in Chinese), 1998, 18(1): 117.

    Google Scholar 

  14. Li Heping, Philosophical thought of the extenics principle,System Engineering Theory and Practice (in Chinese), 1998, 18(1): 118.

    Google Scholar 

  15. Ye Huixin, On philosophical thinking of matter-element analysis,Brainpower and Matterelement Analysis (in Chinese), 1985, (4): 39.

  16. Li Heping, On epistemology of Extensics,From Matterelement Analysis to Extenics (ed. Cai Wen) (in Chinese), Beijing: Science and Technology Documentation Publishers, 1995, 68.

    Google Scholar 

  17. Zhang Yu-xiang, Some philosophical viewpoints of the extension set and matter-element transformation,System Engineering Theory and Practice (in Chinese), 1998, 18(1): 113.

    Google Scholar 

  18. Jiang Yusheng, Sun Xiuqing, The evolution of set theory thoughts and its development in modem China,From Matterelement Analysis to Extenics (ed. Cai Wen). Beijing: Science and Technology Documentation Publishers (in Chinese), 1995: 112.

    Google Scholar 

  19. Un Nan, The upgrade of extension set and information model of matter-elements,System Engineering Theory and Pratice (in Chinese), 1998, 18(1): 93.

    Google Scholar 

  20. Me Bin, Wang Ruo’en, Matter-element deduction inference,System Engineering Theory and Practice (in Chinese), 1998, 18(1): 85.

    Google Scholar 

  21. Tian Shuangliang, Logical tree of matter-element and development of tactics,System Engineering Theory and Practice (in Chinese), 1998, 18(2): 121.

    Google Scholar 

  22. Du Chunyan, Reasoning model based on extensive nature of matter-element,System Engineering Theory and Practice (in Chinese), 1998. 18(2): 124.

    Google Scholar 

  23. He Bin, A primary research outline on extension logic,From Matterelement Analysis to Extenics (ed. Cai Wen) (in Chinese), Beijing: Science and Technology Documentation Publishers, 1995, 260.

    Google Scholar 

  24. He Bin, Research on extension calculation,From Matterelement Analysis to Extenics (ed. Cai Wen) (in Chinese), Beijing: Science and Technology Documentation Publishers, 1995, 276.

    Google Scholar 

  25. Huang Xiang, Study of some algebraic properties of E(U),From Matterelement Analysis to Extenics (ed. Cai Wen) (in Chinese), Beijing: Science, and Technology Documentation Publishers, 1995, 131.

    Google Scholar 

  26. He, B., Chen J., Research outline on extension mathematics,ACM SIGICE Bulletin, 1997, 22(3): 10.

    Article  CAS  Google Scholar 

  27. Huang Yo-Ping, Shi Kaiquan, Extension information theory,From Matterelement Analysis to Extenics (ed. Cai Wen) (in Chinese), Beijing: Science and Technology Documentation Publishers, 1995, 180.

    Google Scholar 

  28. Zhou Guocheng, Unknown information and illness diagnosis model,From Matterelement Analysis to Extenics (ed. Cai Wen) (in Chinese), Beijing: Science and Technology Documentation Publishers, 1995, 191.

    Google Scholar 

  29. Shi Kaiquan, Matter-element network Ω (Γ,X) and the problems,From Matterelement Analysis to Extenics (ed. Cai Wen) (in Chinese), Beijing: Science and Technology Documentation Publishers, 1995, 191.

    Google Scholar 

  30. Chen Yunshan, The preliminary research of information matter-element and extension information matter-element,From Matterelement Analysis to Extenics (ed. Cai Wen) (in Chinese), Beijing: Science and Technology Documentation Publishers. 1995, 201.

    Google Scholar 

  31. Liu Wei, Zhang Xiufang, Knowledge representation on basis of extension information,System Engineering Theory and Practice (in Chinese), 1998, 18(1): 104.

    Google Scholar 

  32. Un Weichu, Extension method in search,System Engineering Theory and Practice (in Chinese), 1998, 18(2): 131.

    Google Scholar 

  33. Liu Wei, Ye Jian, Extension information, inProceedings of ’96 International Conference on Management Science and Engineering (in Chinese), Harbin: Harbin Institute of Technology Press, 1996.

    Google Scholar 

  34. He Xulian, Liu Wei, Ye Jian, Extension information and its application to criminal investigation, inProceedings of 98 ’International Conference on Management Science and Engineering, 1998.

  35. Yang Chunyan, He Bin, Extension Diagnostic method of system fault,J. Gaungdong University of Technology, 1998, 15(1): 93.

    Google Scholar 

  36. He You, The law, theory and method on giving out ideas and working out methods,Science and Technology Review, 1987, 1.

  37. Zhang Qinghua,A Course on Technological Innovation (in Chinese), Hongkong: Asian Publishers, 1992.

    Google Scholar 

  38. Ye Huixin,Methodology on Invention and Creation (in Chinese), Tianjin: Social Academy Publishers, 1992.

    Google Scholar 

  39. Yang Chunyan, Third way of creation in new product conception,J. Gaungdong University of Technology (in Chinese), 1997, 14(1): 93.

    Google Scholar 

  40. Sun Hong’an, Extension system,From Matterelement Analysis to Extenics (ed. Cai Wen) (in Chinese), Beijing: Science and Technology Documentation Publishers, 1995, 204.

    Google Scholar 

  41. Ye Yage, Liu Yongkang,Decision Science Handbook (in Chinese), Tianjin: Tianjin Science and Technology Translating Publishers, 1987, 518.

    Google Scholar 

  42. Sun, B., Chen, J., Extension decision,ACM SIGICE Bulletin, 1997, 22(3): 17.

    Article  CAS  Google Scholar 

  43. Cai Wen, He Bin, Zhang Yingli et al., Key strategy and coordination problem, inThe 3rd International Conference on Management Science and Engineering, Beijing: China Higher Education Press, 1998.

    Google Scholar 

  44. Peng Qiang, He Hin, Rang Zhirong, The transforming bridge method,System Engineering Theory and Practice (in Chinese), 1998, 18(2): 99.

    Google Scholar 

  45. Yang Yiming, Wei ZhongJun, Key contradiction method and application in CSE,System Engineering Theory and Practice (in Chinese), 1998, 18(2:97.

    Google Scholar 

  46. Shi Ai’fen, Policy-making analysis of the state enterprises that have been in too much debt,From Matterelement Analysis to Extenics (ed. Cai Wen) (in Chinese), Beijing: Science and Technology Documentation Publishers, 1995, 229.

    Google Scholar 

  47. Xing Huiming, Li Zhengxi, Yu Xuyuan, Matter-element of imaginary part and its application in management and sales.System Engineering Theory and Practice (in Chinese), 1998. 18(1): 100.

    Google Scholar 

  48. Zhang Shaoxia, Extension research on market trap and business guard.System Engineering Theory and Practice (in Chinese), 1998, 18(1): 125.

    Google Scholar 

  49. Liu Bo, On extension decision of oligopoly.System Engineering Theory and Practice (in Chinese), 1998, 18(2): 128.

    Google Scholar 

  50. Li Jian, Wang Shienyu,Primary Research on Extension Control Information and Systems, Vol. 1, International Academic Publisher, 1991.

  51. Pan Dong, Jin Yihui, Exploration and research on extension control,Control Theory and Applications, 1996, 13(3): 305.

    Google Scholar 

  52. Li Jian, Wang Shienyu, A new kind of expert system—extension expert system,J. East China Institute of Chemical Technology, 1993, 19(5): 617.

    Google Scholar 

  53. Li Shiyong,Theory of Fuzzy Control, Neural Control and Intelligent Control (in Chinese), Harbin: Publishers of Harbin University of Technology, 1996.

    Google Scholar 

  54. Cai Wen, Introduction of matter-element analysis,Artificial Intelligent, 1983, 2.

  55. Guo Kaizhong, Dealing with non-compatible problems by computer.Brainpower and Matterelement Analysis (in Chinese), 1986 (2): 41.

  56. Cheng Chaochun, lin Fuhua, Research and perspectives on extension language,Brainpower and Matterelement Analysis (in Chinese), 1985(4): 40.

  57. Wang Wanliang, Zhao Yanwei, Kesearch extension decision of mechanical intelligent CAD system,System Engineering Theory and Practice (in Chinese), 1998, 18(2): 114.

    Google Scholar 

  58. Liu Wei, Matter-element neural network,From Matterelement Analysis to Extenics (ed. Cai Wen) (in Chinese), Beijing: Science and Technology Documentation Publishers, 1995, 311.

    Google Scholar 

  59. Yang Guowei,Analysis of Matter-Element Dynamic System (in Chinese), Qingdao: Oingdao Publishers, 1997.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Cai, W. Extension theory and its application. Chin.Sci.Bull. 44, 1538–1548 (1999). https://doi.org/10.1007/BF02886090

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02886090

Keywords

Navigation