LINEAR PROGRAMMING TECHNIQUE TO SOLVE TWO PERSON MATRIX GAMES WITH INTERVAL PAY-OFFS

Prasun Kumar Nayak () and Madhumangal Pal ()
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Prasun Kumar Nayak: Bankura Christian College, Bankura, 722 101, India
Madhumangal Pal: Department of Applied Mathematics with Oceanology, and Computer Programming, Vidyasagar University, Midnapore, 721 102, India

Asia-Pacific Journal of Operational Research (APJOR), 2009, vol. 26, issue 02, 285-305

Abstract: A fuzzy two person interval game problem is proposed and treated in this paper which is not easily tackled by the conventional methods. First, with respect to this pay-off values, a necessary and sufficient condition for the existence of a saddle point is proved. Based on interval value model, we are to find the value of interval game without saddle point. Finally, example is given to illustrate the procedure and to indicate the performance of the proposed method.

Keywords: Fuzzy number; interval numbers; interval game; saddle point (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (7)

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DOI: 10.1142/S0217595909002201

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