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Matrix Games with Payoffs of Trapezoidal Intuitionistic Fuzzy Numbers and Solution Methods

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Book cover Decision and Game Theory in Management With Intuitionistic Fuzzy Sets

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 308))

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Abstract

In the preceding Chaps. 7 and 8, intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets are used to describe subjective judgments of players on game situations (or outcomes) and hereby matrix games with payoffs of (interval-valued) intuitionistic fuzzy sets were studied.

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References

  1. Nan, J.X., Li, D.-F.: A lexicographic method for matrix games with payoffs of triangular intuitionistic fuzzy numbers. Int. J. Comput. Int. Syst. 3(3), 280–289 (2010)

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  2. Li, D.-F., Nan, J.X., Tang, Z.P., Chen, K.J., Xiang, X.D., Hong, F.X.: A bi-objective programming approach to solve matrix games with payoffs of Atanassov’s triangular intuitionistic fuzzy numbers. Iran. J. Fuzzy Syst. 9(3), 93–110 (2012)

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  3. 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 (2010)

    Article  Google Scholar 

  4. Owen, G.: Game Theory, 2nd edn. Academic Press, New York (1982)

    MATH  Google Scholar 

  5. Li, D.-F.: Fuzzy Multiobjective Many Person Decision Makings and Games. National Defense Industry Press, Beijing (2003) (in Chinese)

    Google Scholar 

  6. Hwang, C.L., Yoon, K.: Multiple Attribute Decision Making: Methods and Applications, A State of the Art Survey. Springer-Verlag, Berlin (1981)

    Book  MATH  Google Scholar 

  7. Chankong, V., Haimes, Y.Y.: Multiobjective Decision Making: Theory and Methodology. North-Holland, New York (1983)

    MATH  Google Scholar 

  8. Dubois, D., Prade, H.: Fuzzy Sets and Systems: Theory and Applications. Academic Press, New York (1980)

    MATH  Google Scholar 

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Authors and Affiliations

  1. School of Management, Fuzhou University, Fuzhou, People’s Republic of China

    Deng-Feng Li

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  1. Deng-Feng Li
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Correspondence to Deng-Feng Li .

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Li, DF. (2014). Matrix Games with Payoffs of Trapezoidal Intuitionistic Fuzzy Numbers and Solution Methods. In: Decision and Game Theory in Management With Intuitionistic Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol 308. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40712-3_9

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  • DOI: https://doi.org/10.1007/978-3-642-40712-3_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40711-6

  • Online ISBN: 978-3-642-40712-3

  • eBook Packages: EngineeringEngineering (R0)

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