The Optimum Output Quantity for Different Competitive Behaviors under a Fuzzy Decision Environment

Due to the uncertainty of information and complexity of decision-making environment, the optimum output quantity is studied under a fuzzy decision environment. Firstly, the triangular intuitionistic fuzzy model is proposed. Secondly, the optimum output quantity is discussed for four patterns to market structure. Thirdly, the effect of fuzzy parameter on optimum output quantity and total market demand is discussed. Finally, a numerical example is given to illustrate the concrete application of the proposed model.

[1]  Ching-Hsue Cheng,et al.  Using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly , 2006, Microelectron. Reliab..

[2]  Jiang-Xia Nan,et al.  A Ranking Method of Triangular Intuitionistic Fuzzy Numbers and Application to Decision Making , 2010, Int. J. Comput. Intell. Syst..

[3]  Ming-Che Hu,et al.  A sustainable vegetable supply chain using plant factories in Taiwanese markets: A Nash–Cournot model , 2014 .

[4]  Shanlin Yang,et al.  Two-echelon supply chain models: Considering duopolistic retailers' different competitive behaviors , 2006 .

[5]  Peijun Guo.  One-shot decision approach and its application to duopoly market , 2010, Int. J. Inf. Decis. Sci..

[6]  Deng-Feng Li,et al.  A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems , 2010, Comput. Math. Appl..

[7]  Huifu Xu,et al.  A Stochastic Multiple-Leader Stackelberg Model: Analysis, Computation, and Application , 2009, Oper. Res..

[8]  P. Jean-Jacques Herings,et al.  Dynamic Cournot duopoly with intertemporal capacity constraints , 2012 .

[9]  I-Hsuan Hong,et al.  The Cournot production game with multiple firms under an ambiguous decision environment , 2014, Inf. Sci..

[10]  Biying Shou,et al.  Managing supply uncertainty under supply chain Cournot competition , 2015, Eur. J. Oper. Res..

[11]  Tomoya Nakamura,et al.  One-Leader and Multiple-Follower Stackelberg Games with Private Information , 2014 .

[12]  Y. Smeers,et al.  A stochastic version of a Stackelberg-Nash-Cournot equilibrium model , 1997 .

[13]  Sungwook Kim.  Multi-leader multi-follower Stackelberg model for cognitive radio spectrum sharing scheme , 2012, Comput. Networks.

[14]  Luca Colombo,et al.  On the convergence to the Cournot equilibrium in a productive asset oligopoly , 2013 .

[15]  Deng-Feng Li,et al.  A note on "using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly" , 2008, Microelectron. Reliab..

[16]  Jason Barr,et al.  Cournot Competition, Organization and Learning ∗ , 2005 .

[17]  Mark A Walker,et al.  Learning to play Cournot duopoly strategies , 1998 .

[18]  Gin-Shuh Liang,et al.  The optimum output quantity of a duopoly market under a fuzzy decision environment , 2008, Comput. Math. Appl..

[19]  John Wang,et al.  Duopoly Market Analysis within One-Shot Decision Framework with Asymmetric Possibilistic Information , 2010, Int. J. Comput. Intell. Syst..

[20]  Lino J. Alvarez-Vázquez,et al.  Stackelberg strategies for wastewater management , 2015, J. Comput. Appl. Math..