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Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets pp 233–246Cite as

Matrix Games with Simplified Neutrosophic Payoffs

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 369))

Abstract

This chapter aims to develop some models for games, where the payoffs are represented with simplified neutrosophic sets. Therefore, we give an application of simplified neutrosophic sets to two person zero sum matrix games. By using concept of pure strategy, we introduce three solution which are called neutrosophic saddle point method, neutrosophic upper and neutrosophic lower value method and neutrosophic elimination method. Then some important properties of the solutions are studied. Finally, we propose and discuss the concept of solution with mixed strategy in the games, which may not always have a pure strategy.

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Author information

Authors and Affiliations

  1. Kilis 7 Aralık University, 79000, Kilis, Turkey

    Irfan Deli

Authors
  1. Irfan Deli
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Correspondence to Irfan Deli .

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Editors and Affiliations

  1. Department of Industrial Engineering, Istanbul Technical University, Macka, Istanbul, Turkey

    Cengiz Kahraman

  2. Department of Industrial Engineering, Istanbul Okan University, Akfirat-Tuzla, Istanbul, Turkey

    İrem Otay

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Deli, I. (2019). Matrix Games with Simplified Neutrosophic Payoffs. In: Kahraman, C., Otay, İ. (eds) Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Studies in Fuzziness and Soft Computing, vol 369. Springer, Cham. https://doi.org/10.1007/978-3-030-00045-5_10

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