Skip to main content
SpringerLink
Log in

Shapley Value Method for Benefit Distribution of Technology Innovation in Construction Industry with Intuitionistic Fuzzy Coalition

  • Conference paper
  • First Online:
Game Theory (EAGT 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1082))

Included in the following conference series:

  • 608 Accesses

Abstract

The formation of the technology innovation coalition of the construction industry can give full play to the resource advantages of all participants, innovate technologies, save cost, improve construction quality, and achieve a multi-win situation. The key to the success of the coalition is to establish a fair and efficient mechanism of benefit distribution. Firstly, the forming mechanism and value creation mechanism is analyzed. Then the benefit distribution under the condition that members have certain degree of participation and certain degree of non-participation in the coalition is discussed, assuming that the members are fully aware of the expected benefit of different cooperation strategies before the cooperation. The essence is to solve cooperative game with intuitionistic fuzzy coalition. In this paper, Shapley value for intuitionistic fuzzy cooperative game is proposed by taking use of intuitionistic fuzzy set theory, Choquet integrals and continuous ordered weighted average operator. It’s also proofed that the defined Shapley value satisfies three axioms. Finally, the effectiveness and rationality of Shapley is illustrated by a numerical example.

Supported by the education and scientific research project of young and middle-aged teachers in Fujian province (JAT170728).

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Wang, Q.X., Zheng, L., Huang, D.A.: Research on innovation in construction industry. Ind. Strateg. 9, 20–30 (2003). https://doi.org/10.3969/j.issn.0577-7429.2003.09.011

    Article  Google Scholar 

  2. Fruin, M., Lin, R., Zhang, H., et al.: Alliance network and innovation: evidence from China’s third generation mobile communications industry. J. Asia Bus. Stud. 6(2), 197–222 (2012). https://doi.org/10.1108/15587891211254407

    Article  Google Scholar 

  3. Kangari, R., Miyatake, Y.: Developing and managing innovative construction technologies in Japan. J. Constr. Eng. Manage. 123(1), 72–78 (1997). https://doi.org/10.1061/(asce)0733-9364(1997)123:1(72)

    Article  Google Scholar 

  4. Arditi, D., Kale, S., Tangkar, M.: Innovation in construction equipment and its flow into the construction Industry. J. Constr. Eng. Manage. 123(4), 371–378 (1997). https://doi.org/10.1061/(asce)0733-9364(1997)123:4(371)

    Article  Google Scholar 

  5. Pries, F., Janszen, F.: Innovation in the construction industry: the dominant role of the environment. Constr. Manage. Econ. 13(1), 43–51 (1995). https://doi.org/10.1080/01446199500000006

    Article  Google Scholar 

  6. Eriksson, P.E., Laan, A.: Procurement effects on trust and control in client-contractor relationships. Eng. Constr. Archit. Manage. 14(4), 387–399 (2016). https://doi.org/10.1016/j.ijpe.2012.01.015

    Article  Google Scholar 

  7. Horta, I.M., Camanho, A.S., Costa, J.M.D.: Performance assessment of construction companies: a study of factors promoting financial soundness and innovation in the industry. Int. J. Prod. Econ. 137(1), 84–93 (2012). https://doi.org/10.1016/j.ijpe.2012.01.015

    Article  Google Scholar 

  8. Šuman, N., El-Masr, M.S.: The integrated approach for introducing innovation in construction industry. Organ. Tech. Man. Cons. 5(2), 834–843 (2013). https://doi.org/10.5592/otmcj.2013.2.2

    Article  Google Scholar 

  9. Blayse, A.M., Manley, K.: Key influences on construction innovation. Constr. Innov. 4(3), 143–154 (2004). https://doi.org/10.1191/1471417504ci073oa

    Article  Google Scholar 

  10. Jahn, H., Zimmermann, M., Fischer, M., et al.: Performance evaluation as an influence factor for the determination of profit shares of competence cells in non-hierarchical regional production networks. Robot. CIM-INT Manuf. 22(5–6), 526–535 (2006). https://doi.org/10.1016/j.rcim.2005.11.011

    Article  Google Scholar 

  11. Chauhan, S.S., Proth, J.M.: Analysis of a supply chain partnership with revenue sharing. Int. J. Prod. Econ. 97(1), 44–51 (2005). https://doi.org/10.1016/j.ijpe.2004.05.006

    Article  Google Scholar 

  12. Canakoglu, E., Bilgic, T.: Analysis of a two-stage telecommunication supply chain with technology dependent demand. Eur. J. Oper. Res. 177(2), 995–1012 (2006). https://doi.org/10.1016/j.ejor.2006.01.006

    Article  MATH  Google Scholar 

  13. Jia, N.X., Yokoyama, R.: Profit allocation of independent power producers based on cooperative Game theory. Int. J. Elec. Power. 25(8), 633–641 (2003). https://doi.org/10.1016/s0142-0615(02)00180-1

    Article  Google Scholar 

  14. Sakawa, M., Nishizaki, I., Uemura, Y.: Fuzzy programming and profit and cost allocation for a production and transportation problem. Eur. J. Oper. Res. 131(1), 1–15 (2001). https://doi.org/10.1016/s0377-2217(00)00104-1

    Article  MathSciNet  MATH  Google Scholar 

  15. Zheng, W.J., Zhang, X.M., et al.: Research of profit distributing mechanism of virtual enterprises. J. Ind. Eng. Manage. 15(1), 26–28 (2001). https://doi.org/10.3969/j.issn.1004-6062.2001.01.008

    Article  Google Scholar 

  16. Feng, W.D., Chen, J.: Study on the proportion making for profit/risk allocation within virtual enterprises. Syst. Eng. Theor. Pract. 22(4), 45–49 (2002). https://doi.org/10.3321/j.issn:1000-6788.2002.04.008

    Article  Google Scholar 

  17. Dai, J.H., Xue, H.X.: The strategy of profit allocation among partners in dynamic alliance based on the Shapley value. China J. Manage. Sci. 12(4), 33–36 (2004). https://doi.org/10.3321/j.issn:1003-207x.2004.04.007

    Article  Google Scholar 

  18. Liao, C.L., Fan, Z.J., Tan, A.M.: Research on secondary profit distribution mechanism of virtual enterprises. Sci. Technol. Prog. Policy. 4, 138–140 (2005). https://doi.org/10.3969/j.issn.1000-7695.2005.04.045

    Article  Google Scholar 

  19. Sang, X.M., Li, J.: Profit allocation in small and medium-sized enterprises financing alliance based on interval Shapley Value. Math. Pract. Theory 40(21), 93–98 (2010)

    MathSciNet  Google Scholar 

  20. Han, X.L., Zhang, Q.P.: Cooperative game analysis of knowledge creation and benefit distribution among enterprises. Sci. Technol. Prog. Policy 28(9), 85–87 (2011). https://doi.org/10.3969/j.issn.1001-7348.2011.09.019

    Article  Google Scholar 

  21. Chen, M., Yu, J., Zou, H.: Research on profit distribution of supply chain enterprises based on orthogonal projection method. J. Changsha Univ. 25(5), 99–101 (2011). https://doi.org/10.3969/j.issn.1008-4681.2011.05.034

    Article  Google Scholar 

  22. Chen, W., Zhang, Q.: Profit distribution method of enterprise alliance based on fuzzy alliance cooperative game. Trans. Beijing Inst. Technol. 57(8), 735–739 (2007). https://doi.org/10.3969/j.issn.1001-0645.2007.08.018

    Article  Google Scholar 

  23. Tan, C.Q.: Shapley value for n-persons games with interval fuzzy coalition based on Choquet extension. J. Syst. Eng. 25(4), 451–458 (2010)

    MATH  Google Scholar 

  24. Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20(1), 87–96 (1986). https://doi.org/10.1016/S0165-0114(86)80034-3

    Article  MATH  Google Scholar 

  25. Atanassov, K.T.: Intuitionistic Fuzzy Sets. Springer, Heidelberg (1999). https://doi.org/10.1007/978-3-7908-1870-3

    Book  MATH  Google Scholar 

  26. Li, D.F., Wang, Y.C., Liu, S., et al.: Fractional programming methodology for multi-attribute group decision-making using IFS. Appl. Soft Comput. 9(1), 219–225 (2009). https://doi.org/10.1016/j.asoc.2008.04.006

    Article  Google Scholar 

  27. Li, F.: TOPSIS-based nonlinear-programming methodology for multiattribute decision making with interval-valued intuitionistic fuzzy sets. IEEE Trans. Fuzzy Syst. 18(2), 299–311 (2010). https://doi.org/10.1109/TFUZZ.2010.2041009

    Article  Google Scholar 

  28. Li, D.F., Shan, F., Cheng, C.T.: On properties of four IFS operators. Fuzzy Sets Syst. 154(1), 151–155 (2005). https://doi.org/10.1016/j.fss.2005.03.004

    Article  MathSciNet  MATH  Google Scholar 

  29. Xu, Y.J., Sun, T., Li, D.F.: Intuitionistic fuzzy prioritized OWA operator and its application in multi-criteria decision-making problem. Control Decis. 26(1), 129–132 (2011). https://doi.org/10.1111/j.1759-6831.2010.00112.x

    Article  MathSciNet  Google Scholar 

  30. Xu, X.Y., Huang, X.Y., Zhao, Y., Huang, Y.: Fault diagnosis with empirical model decomposition and intuitionistic fuzzy reasoning neural networks. J. Chongqing Univ. Technol. (Nat. Sci. Ed.) 24(4), 91–96 (2010). https://doi.org/10.3969/j.issn.1674-8425-b.2010.04.018

  31. Li, D.F., Nan, J.X.: A nonlinear programming approach to matrix games with payoffs of Atanassov’s intuitionsistic fuzzy sets. Int. J. Uncertain. Fuzziness 17(04), 585–607 (2009). https://doi.org/10.1142/S0218488509006157

    Article  MATH  Google Scholar 

  32. Li, D.F.: Mathematical-programming approach to matrix games with payoffs represented by Atanassov’s interval-valued intuitionistic fuzzy sets. IEEE Trans. Fuzzy Syst. 18(6), 1112–1128 (2011). https://doi.org/10.1109/TFUZZ.2010.2065812

    Article  Google Scholar 

  33. Nan, J.X., Li, D.F., Zhang, M.J.: A lexicographic method for matrix Games with payoffs of triangular intuitionistic fuzzy numbers. Int. J. Comput. Int. Syst. 3(3), 280–289 (2010). https://doi.org/10.1080/18756891.2010.9727699

    Article  Google Scholar 

  34. Nayak, P.K., Pal, M.: Bi-matrix games with intuitionistic fuzzy goals. Iran. J. Fuzzy Syst. 7(1), 65–79 (2010). https://doi.org/10.3934/ipi.2010.4.191

    Article  MathSciNet  MATH  Google Scholar 

  35. Angelov, P.P.: Optimization in an intuitionistic fuzzy environment. Fuzzy Sets Syst. 86(3), 299–306 (1997). https://doi.org/10.1016/s0165-0114(96)00009-7

    Article  MathSciNet  MATH  Google Scholar 

  36. Li, D.F.: Intuitionistic Fuzzy Set Decision and Game Analysis Methodologies. National Defense Industry Press, Beijing (2012)

    Google Scholar 

  37. Han, L.Y., Wang, P.Z.: Applied Fuzzy Mathematics. Capital University of Economics and Business Press, Beijing (1998)

    Google Scholar 

  38. Sugeno, M.: Theory of fuzzy integral and its applications. Doctor, Tokyo Institute of Technology (1974)

    Google Scholar 

  39. Murofushi, T., Sugeno, M.: An interpretation of fuzzy measure and the Choquet integral as an integral with respect to a fuzzy measure. Fuzzy Sets Syst. 29(1), 201–227 (1989). https://doi.org/10.1016/0165-0114(89)90194-2

    Article  MathSciNet  MATH  Google Scholar 

  40. Yang, R., Wang, Z., Heng, P.A., et al.: Fuzzy numbers and fuzzification of the Choquet integral. Fuzzy Sets Syst. 153(1), 95–113 (2005). https://doi.org/10.1016/j.fss.2004.12.009

    Article  MathSciNet  MATH  Google Scholar 

  41. Yager, R.R.: OWA aggregation over a continuous interval argument with application to decision making. IEEE Trans. Syst. Man Cybern. Part B (Cybern.) 34(5), 1952–1963 (2004). https://doi.org/10.1109/tsmcb.2004.831154

    Article  Google Scholar 

  42. Shapley, L.S.: A value for n-person games. In: Kuhn, H.W., Tucker, A.W. (eds.) Contributions to the Theory of Games II. Annals of Mathematics Studies, pp. 307–317. Princeton University Press, Princeton (1953)

    Google Scholar 

  43. Tsurumi, M., Tanino, T., Inuiguchi, M.: A Shapley function on a class of cooperative fuzzy games. Eur. J. Oper. Res. 129(3), 596–618 (2001). https://doi.org/10.1016/S0377-2217(99)00471-3

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fuzhou University of International Studies and Trade, Fuzhou, People’s Republic of China

    Ting Han

Authors
  1. Ting Han
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ting Han .

Editor information

Editors and Affiliations

  1. School of Economics and Management, Fuzhou University, Fuzhou, Fujian, China

    Deng-Feng Li

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

Han, T. (2019). Shapley Value Method for Benefit Distribution of Technology Innovation in Construction Industry with Intuitionistic Fuzzy Coalition. In: Li, DF. (eds) Game Theory. EAGT 2019. Communications in Computer and Information Science, vol 1082. Springer, Singapore. https://doi.org/10.1007/978-981-15-0657-4_6

Download citation

  • DOI: https://doi.org/10.1007/978-981-15-0657-4_6

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-0656-7

  • Online ISBN: 978-981-15-0657-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation