A Computational Model for Multi-level Quadratically Constrained Quadratic Optimization under Fully Fuzzy Environment

DOI: 10.9734/JAMCS/2018/42263 Editor(s): (1) Dr. Junjie Chen, Professor, Department of Electrical Engineering, University of Texas at Arlington, USA. Reviewers: (1) Peter Ayuba, Kaduna State University, Nigeria. (2) Tunjo Perić, University of Zagreb, Croatia. (3) Mohamed AbdelHameed Helmy, El-Gazeera High Institute for Engineering and Technology, Egypt. Complete Peer review History: http://www.sciencedomain.org/review-history/25248

[1]  N. Safaei.  A new method for solving fully fuzzy linear fractional programming with a triangular fuzzy numbers , 2015 .

[2]  M. A. Helmy,et al.  An Interactive Model for Fully Fuzzy Multi-level Linear Programming Problem based on Multi-objective Linear Programming Technique , 2017 .

[3]  A. Kaufmann,et al.  Introduction to fuzzy arithmetic : theory and applications , 1986 .

[4]  Shu-Cherng Fang,et al.  KKT Solution and Conic Relaxation for Solving Quadratically Constrained Quadratic Programming Problems , 2011, SIAM J. Optim..

[5]  A New pivotal operation on Triangular Fuzzy number for Solving Fully Fuzzy Linear Programming Problems , 2016 .

[6]  Semu Mitiku Kassa,et al.  An iterative method for tri-level quadratic fractional programming problems using fuzzy goal programming approach , 2018 .

[7]  Seyed Hadi Nasseri,et al.  Fully fuzzy linear programming with inequality constraints , 2013 .

[8]  Esmaile Khorram,et al.  A new algorithm to solve fully fuzzy linear programming problems using the MOLP problem , 2015 .

[9]  T. Allahviranloo,et al.  SOLVING FULLY FUZZY LINEAR PROGRAMMING PROBLEM BY THE RANKING FUNCTION , 2008 .

[10]  B. Pal,et al.  A Piecewise Linear Approximation Method to Solve Fuzzy Separable Quadratic Programming Problem , 2013 .

[11]  Amit Kumar,et al.  A new method for solving fully fuzzy linear programming problems , 2011 .

[12]  R. Fullér.  Fuzzy Reasoning and Fuzzy Optimization , 1998 .

[13]  O. E. Emam,et al.  A decomposition Algorithm for Solving Stochastic Multi-Level Large Scale Quadratic Programming Problem , 2015 .

[14]  M. Jayalakshmi,et al.  A New Method for Finding an Optimal Fuzzy Solution For Fully Fuzzy Linear Programming Problems , 2012 .

[15]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[16]  Paul H. Calamai,et al.  Bilevel and multilevel programming: A bibliography review , 1994, J. Glob. Optim..

[17]  Heinrich von Stackelberg,et al.  Stackelberg (Heinrich von) - The Theory of the Market Economy, translated from the German and with an introduction by Alan T. PEACOCK. , 1953 .

[18]  Farhana Akond Pramy,et al.  An Approach for Solving Fuzzy Multi-Objective Linear Fractional Programming Problems , 2018, International Journal of Mathematical, Engineering and Management Sciences.

[19]  Aihong Ren.  A Novel Method for Solving the Fully Fuzzy Bilevel Linear Programming Problem , 2015 .

[20]  S. H. Chen,et al.  GRADED MEAN INTEGRATION REPRESENTATION OF GENERALIZED FUZZY NUMBER , 1999 .

[21]  Yaoguang Hu,et al.  Multilevel decision-making: A survey , 2016, Inf. Sci..

[22]  O. E. Emam,et al.  Fuzzy Bi-Level Multi-Objective Fractional Integer Programming , 2014 .

[23]  David P. Baron.  Quadratic programming with quadratic constraints , 1972 .

[24]  K. Mani Chandy,et al.  Quadratically Constrained Quadratic Programs on Acyclic Graphs With Application to Power Flow , 2012, IEEE Transactions on Control of Network Systems.