Truss Design Optimization using Neutrosophic Optimization Technique

In this paper, we develop a neutrosophic optimization (NSO) approach for optimizing the design of plane truss structure with single objective subject to a specified set of constraints. In this optimum design formulation, the objective functions are the weight of the truss and the deflection of loaded joint; the design variables are the crosssections of the truss members; the constraints are the stresses in members.

[1]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[2]  Singiresu S. Rao Description and Optimum Design of Fuzzy Mechanical Systems , 1987 .

[3]  Tapan Kumar Roy,et al.  Optimum shape design of structural model with imprecise coefficient by parametric geometric programming , 2015 .

[4]  Vilém Novák,et al.  Fuzzy Set , 2009, Encyclopedia of Database Systems.

[5]  Tapan Kumar Roy,et al.  Multi-objective Structural Optimization Using Fuzzy and Intuitionistic Fuzzy Optimization Technique , 2015 .

[6]  C. J. Shih,et al.  Alternative α-level-cuts methods for optimum structural design with fuzzy resources , 2003 .

[7]  Tapan Kumar Roy,et al.  A Fuzzy Programming Technique for Solving Multi-objective Structural Problem , 2014 .

[8]  Kamran Behdinan,et al.  Applicability and viability of a GA based finite element analysis architecture for structural design optimization , 2003 .

[9]  Tapan Kumar Roy,et al.  Optimized Solution of Two Bar Truss Design Using Intuitionistic Fuzzy Optimization Technique , 2014 .

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

[11]  Wang Guang-yuan,et al.  FUZZY OPTIMUM DESIGN OF STRUCTURES , 1985 .

[12]  Tapan Kumar Roy,et al.  Multi-objective structural design problem optimization using parameterized t-norm based fuzzy optimization programming technique , 2016, J. Intell. Fuzzy Syst..

[13]  H. W. Lee,et al.  Level-cut Approaches of First and Second Kind for Unique Solution Design in Fuzzy Engineering Optimization Problems , 2004 .

[14]  Xu Changwen,et al.  Fuzzy optimization of structures by the two-phase method , 1989 .

[15]  Yeh Yi-Cherng,et al.  Structural optimization with fuzzy parameters , 1990 .