Skip to main content

Function-Structure Collaborative Mapping Induced by Universal Triple I Systems

  • Conference paper
  • First Online:
Computer Supported Cooperative Work and Social Computing (ChineseCSCW 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1042))

  • 956 Accesses

Abstract

The and/or/not function tree is one of the principal functional models of product concept design. How to model and solve the and/or/not function tree is a key issue in this field. In the past, it was mainly to establish a function tree by artificial means, and it was hard to get the desired effect. Aiming at this problem, a novel function tree modeling method is proposed based on the idea of fuzzy reasoning. Firstly, the function tree is extended to the scope of the fuzzy function tree. Secondly, starting from the universal triple I algorithm of fuzzy reasoning, the fuzzy system for fuzzy function tree modeling is constructed, which is infiltrated into the function-structure mapping of function tree modeling. Therefore, the function-structure collaborative mapping method based on the triple I system is proposed. Through the application examples of the magnetic levitation train, the effectiveness of the proposed method is confirmed, and the problem of function tree modeling is effectively solved, which promotes the development of product concept design.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Shai, O., Reich, Y., Rubin, D.: Creative conceptual design: extending the scope by infused design. Comput. Aided Des. 41(3), 117–135 (2009)

    Google Scholar 

  2. Chakrabarti, A., Bligh, T.P.: A scheme for functional reasoning in conceptual design. Des. Stud. 22(6), 493–517 (2001)

    Google Scholar 

  3. Hsu, W., Woon, I.M.Y.: Current research in the conceptual design of mechanical products. Comput. Aided Des. 30(5), 377–389 (1998)

    Google Scholar 

  4. Tang, Y.M., Liu, X.P.: Task partition for function tree according to innovative functional reasoning. In: Proceedings of the 12th International Conference on Computer Supported Cooperative Work in Design, Xian, pp. 189–195 (2008)

    Google Scholar 

  5. Zhu, L., Zhu, R., Liu, S.: Product information model for integrating axiomatic design with DFA. J. Comput.-Aided Des. Comput. Graph. 16(2), 216–221 (2004)

    MathSciNet  Google Scholar 

  6. Zhang, S., Feng, P., Pan, S.X., et al.: Study on automatic conceptual design strategy based on cyclic mapping model. J. Comput.-Aided Des. Comput. Graph. 17(3), 491–497 (2005)

    Google Scholar 

  7. Liu, X., Liu, J., Tang, Y.: A contrast similarity function-tree’s extension method based on extension theory. J. Eng. Graph. 30(1), 153–159 (2009)

    Google Scholar 

  8. Tang, Y., Liu, X.: EFVM solving algorithm of function trees. J. Comput.-Aided Des. Comput. Graph. 22(9), 1578–1586 (2010)

    Google Scholar 

  9. Tang, Y., Liu, X.: A function family solving method of And/Or/Not function tree. J. Eng. Graph. 32(1), 143–147 (2011)

    Google Scholar 

  10. Tang, Y., Liu, X.: Lossless simplifying strategies of And/Or/Not function tree. J. Graph. 34(1), 31–40 (2013)

    Google Scholar 

  11. Hua, D., Liu, X., Tang, Y.: FFM function-solving and its application in control system for sensor. J. Electron. Meas. Instrum. 30(6), 975–981 (2016)

    Google Scholar 

  12. Gan, Y.: Research on mechanical product innovation design for human-machine collaboration. China Plant Eng. 8, 107–108 (2019)

    Google Scholar 

  13. Duan, T., Huang, Y., Wang, Y.: Research on module partition for reconfiguration in software radio. Electron. Des. Eng. 27(9), 92–99 (2019)

    Google Scholar 

  14. Zadeh, L.A.: Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans. Syst. Man Cybern. 3(1), 28–44 (1973)

    MathSciNet  MATH  Google Scholar 

  15. Wang, G.: On the logic foundation of fuzzy reasoning. Inf. Sci. 117(1), 47–88 (1999)

    MathSciNet  MATH  Google Scholar 

  16. Tang, Y., Liu, X.: Differently implicational universal triple I method of (1, 2, 2) type. Comput. Math. Appl. 59(6), 1965–1984 (2010)

    MathSciNet  MATH  Google Scholar 

  17. Tang, Y., Ren, F.: Fuzzy systems based on universal triple I method and their response functions. Int. J. Inf. Technol. Decis. Making 16(2), 443–471 (2017)

    MathSciNet  Google Scholar 

  18. Tang, Y., Pedrycz, W.: On continuity of the entropy-based differently implicational algorithm. Kybernetika 55(2), 307–336 (2019)

    MathSciNet  MATH  Google Scholar 

  19. Wang, L.X.: A Course in Fuzzy Systems and Control. Prentice-Hall, Englewood Cliffs (1997)

    MATH  Google Scholar 

  20. Tang, Y., Pedrycz, W.: On the α(u, v)-symmetric implicational method for R- and (S, N)-implications. Int. J. Approx. Reason. 92, 212–231 (2018)

    MathSciNet  MATH  Google Scholar 

Download references

Acknowledgement

This work was supported by the National Natural Science Foundation of China (Nos. 61673156, 61672202, 61432004, U1613217, 61877016).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yiming Tang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Tang, Y., Chen, J., Ren, F., Wu, X., Bao, G. (2019). Function-Structure Collaborative Mapping Induced by Universal Triple I Systems. In: Sun, Y., Lu, T., Yu, Z., Fan, H., Gao, L. (eds) Computer Supported Cooperative Work and Social Computing. ChineseCSCW 2019. Communications in Computer and Information Science, vol 1042. Springer, Singapore. https://doi.org/10.1007/978-981-15-1377-0_19

Download citation

  • DOI: https://doi.org/10.1007/978-981-15-1377-0_19

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-1376-3

  • Online ISBN: 978-981-15-1377-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics