Linear and Nonlinear Programming Methods of Two-Person Interval-Valued Neutrosophic Games

İrfan Deli ()
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İrfan Deli: Kilis 7 Aralık University

A chapter in Neutrosophic Operational Research, 2021, pp 411-447 from Springer

Abstract: Abstract This chapter aims to propose a new model for matrix games called two-person interval-valued neutrosophic matrix game (TPIVNM-game) where payoffs are represented with interval-valued neutrosophic sets. Also, the chapter introduces mathematical-programming methods of two-person interval-valued neutrosophic matrix game. To do this, we will define two-person interval-valued neutrosophic matrix game with payoffs which is interval-valued neutrosophic sets and propose their solution concepts. Moreover, we will develop some mathematical solution models of two-person interval-valued neutrosophic matrix game based on linear programming and nonlinear programming.

Keywords: Game; Interval-valued neutrosophic sets; Two-person interval-valued neutrosophic matrix game; Linear programming; Nonlinear programming (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-57197-9_20

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DOI: 10.1007/978-3-030-57197-9_20

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