How to cite this paper
Dey, S & Roy, T. (2015). Optimum shape design of structural model with imprecise coefficient by parametric geometric programming.Decision Science Letters , 4(3), 407-418.
Refrences
Wang, G.Y. & Wang, W.Q. (1985). Fuzzy optimum design of structure. Engineering Optimization, 8, 291-300.
Zadeh, L.A. (1965). Fuzzy set. Information and Control, 8(3), 338-353.
Zimmermann, H.J. (1978).Fuzzy linear programming with several objective function .Fuzzy sets and systems, 1, 45-55.
Xu, C. (1989).Fuzzy optimization of structures by the two-phase method. Computer and Structure, 31(4),575–580.
Yeh, Y.C. & Hsu, D.S. (1990).Structural optimization with fuzzy parameters. Computer and Structure,37(6), 917–924.
Rao, S.S. (1987). Description and optimum design of fuzzy mathematical systems.
Journal of mechanical design,109(1), 126-132.
Shih,C. J. & Lee, H. W.(2004).Level-cut Approaches of First and Second Kind for Unique Solution Design in Fuzzy Engineering Optimization Problems. Tamkang Journal of Science and Engineering, 7(3),189-198.
Shih,C.J., Chi,C.C. & Hsiao,J.H.(2003).Alternative -level-cuts methods for optimum structural design with fuzzy resources, Computers and Structures, 81,2579–2587.
Kaveh, A. & Talatahari, S. (2010).An improved ant colony optimization for the design of planar steel frames. Engineering Structure, 32(3), 864–873.
Dede, T., Bekiro?lu, S. & Ayvaz, Y. (2011).Weight minimization of trusses with genetic algorithm. Applied Soft Computing ,11(2), 2565–2575.
Luh, G.C. & Lin, C.Y.(2011). Optimal design of truss-structures using particle swarm optimization. Computers and Structures, 89(2324), 2221–2232.
Sonmez, M. (2011).Discrete optimum design of truss structures using artificial bee colony algorithm. Structural and multidisciplinary optimization, 43(1),85–97.
Yang, H. & Cao, B. Y.(2010). Fuzzy geometric programming and its application. Fuzzy information and engineering, 2(1), 101-112.
Zener, C. (1971). Engineering design by geometric programming, Wiley, New York.
Beightler,C.S. & Phillips, D.T. (1976).Applied geometric programming. Wiley, New York .
Duffin,R.J., Peterson,E.L. & Zener,C.M. (1967).Geometric programming- theory and applications. Wiley, New York.
Schmit, L.A. (1981). Structural synthesis- its genesis and development. AIAA Journal, 119(10), 1249-1263.
Ojha, A. K. & Das, A.K. (2010).Geometric programming problem with coefficients and exponents associated with binary numbers. International Journal of Computer Science Issues, 7(1), 49-55.
Liu, S. T. (2008). Posynomial geometric programming with interval exponents and coefficients. European Journal of Operational Research, 186(1), 17-27.
Cao, B.Y. (1987). Solution and theory of question for a kind of fuzzy positive geometric program. Proceeding of the second IFSA Congress, Tokyo, 1, 205-208.
Nasseri, S. H. & Alizadeh, Z. (2014). Optimized solution of a two-bar truss nonlinear problem using fuzzy geometric programming. Journal of Nonlinear Analysis and Application, 1-9. doi:10.5899/2014/jnaa-00230
Zadeh, L.A. (1965). Fuzzy set. Information and Control, 8(3), 338-353.
Zimmermann, H.J. (1978).Fuzzy linear programming with several objective function .Fuzzy sets and systems, 1, 45-55.
Xu, C. (1989).Fuzzy optimization of structures by the two-phase method. Computer and Structure, 31(4),575–580.
Yeh, Y.C. & Hsu, D.S. (1990).Structural optimization with fuzzy parameters. Computer and Structure,37(6), 917–924.
Rao, S.S. (1987). Description and optimum design of fuzzy mathematical systems.
Journal of mechanical design,109(1), 126-132.
Shih,C. J. & Lee, H. W.(2004).Level-cut Approaches of First and Second Kind for Unique Solution Design in Fuzzy Engineering Optimization Problems. Tamkang Journal of Science and Engineering, 7(3),189-198.
Shih,C.J., Chi,C.C. & Hsiao,J.H.(2003).Alternative -level-cuts methods for optimum structural design with fuzzy resources, Computers and Structures, 81,2579–2587.
Kaveh, A. & Talatahari, S. (2010).An improved ant colony optimization for the design of planar steel frames. Engineering Structure, 32(3), 864–873.
Dede, T., Bekiro?lu, S. & Ayvaz, Y. (2011).Weight minimization of trusses with genetic algorithm. Applied Soft Computing ,11(2), 2565–2575.
Luh, G.C. & Lin, C.Y.(2011). Optimal design of truss-structures using particle swarm optimization. Computers and Structures, 89(2324), 2221–2232.
Sonmez, M. (2011).Discrete optimum design of truss structures using artificial bee colony algorithm. Structural and multidisciplinary optimization, 43(1),85–97.
Yang, H. & Cao, B. Y.(2010). Fuzzy geometric programming and its application. Fuzzy information and engineering, 2(1), 101-112.
Zener, C. (1971). Engineering design by geometric programming, Wiley, New York.
Beightler,C.S. & Phillips, D.T. (1976).Applied geometric programming. Wiley, New York .
Duffin,R.J., Peterson,E.L. & Zener,C.M. (1967).Geometric programming- theory and applications. Wiley, New York.
Schmit, L.A. (1981). Structural synthesis- its genesis and development. AIAA Journal, 119(10), 1249-1263.
Ojha, A. K. & Das, A.K. (2010).Geometric programming problem with coefficients and exponents associated with binary numbers. International Journal of Computer Science Issues, 7(1), 49-55.
Liu, S. T. (2008). Posynomial geometric programming with interval exponents and coefficients. European Journal of Operational Research, 186(1), 17-27.
Cao, B.Y. (1987). Solution and theory of question for a kind of fuzzy positive geometric program. Proceeding of the second IFSA Congress, Tokyo, 1, 205-208.
Nasseri, S. H. & Alizadeh, Z. (2014). Optimized solution of a two-bar truss nonlinear problem using fuzzy geometric programming. Journal of Nonlinear Analysis and Application, 1-9. doi:10.5899/2014/jnaa-00230