Linear programming technique to solve two person matrix games with interval pay-offs

Asia-Pacific Journal of Operational Research

Volumn 26, Issue 2, 2009, Pages 285-305

  Nayak, Prasun Kumar ^a   Pal, Madhumangal ^b  

^a BANKURA CHRISTIAN COLLEGE   (India)

^b VIDYASAGAR UNIVERSITY   (India)

Author keywords

Fuzzy number; Interval game; Interval numbers; Saddle point

Indexed keywords

CONVENTIONAL METHODS; FUZZY NUMBER; GAME PROBLEM; INTERVAL GAME; INTERVAL NUMBERS; INTERVAL VALUE; LINEAR PROGRAMMING TECHNIQUES; MATRIX GAME; SADDLE POINT; SUFFICIENT CONDITIONS;

FUZZY RULES; FUZZY SETS; LINEARIZATION;

GAME THEORY;

EID: 67651040884     PISSN: 02175959     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217595909002201     Document Type: Article

References (14)

1. Bector, CR, S Chandra and V Vijay (2004). Duality in linear programming with fuzzy parameters and matrix games with fuzzy payoffs. Fuzzy Sets and Systems, 146, 253-269.
2. Campos, L (1989). Fuzzy linear programming models to solve fuzzy matrix games. Fuzzy Sets and Systems, 32, 275-289.
3. Chinneck, JW and K Ramdan (2000). Linear programming with interval coefficients. The Journal of the Oprtational Research Society, 51(2), 209-220.
4. Hansen, E and GW Walster (2001). Global Optimization Using Interval Analysis. New York: Marcel Dekker.
5. Moore, RE (1979) Method and Application of Interval Analysis. Philadelphia: SIAM.
6. Maeda, T (2000). Characterization of the equilibrium strategy of the bimatrix game with fuzzy payoff. Journal of Mathematical Analysis and Applications, 251, 885-896.
7. Neumann, JV and O Morgenstern (1947). Theory of Games and Economic Behaviour. New Jersey: Princeton University Press.
8. Nishizaki, I and M Sakawa (1994). Max-min solution for fuzzy multiobjective matrix games. Fuzzy Sets and Systems, 61, 265-275.
9. Narayan, AL, AR Meenakshi and AMS Ramasamy (2002). Fuzzy games. The Journal of Fuzzy Mathematics, 10, 817-829.
10. Nayak, PK and M Pal (2006). Solution of interval games using graphical method. Tamsui Oxford Journal of Mathematical Sciences, 22(1), 95-115.
11. Nayak, PK and M Pal (2007). Solution of rectangular fuzzy games. OPSEARCH, 44(3), 211-226.
12. Sengupta, A, TK Pal and D Chakraborty (2001). Interpretation of inequality constraints involving interval coefficients and a solution to interval linear programming. Fuzzy Sets and Systems, 119, 129-138.
13. Tong, S (1994). Interval number and fuzzy number linear programmimg. Fuzzy Sets and Systems, 66, 301-306.
14. Zadeh, LA (1965). Fuzzy sets. Information and Control, 8, 338-352.