Samir Dey

Multi-objective structural design problem optimization using parameterized t-norm based fuzzy optimization programming technique

Real world engineering design problems are usually characterized by the presence of many conflicting objectives. In this paper, we will make an approach to solve multi-objective structural model using parameterized t-norms based on fuzzy optimization programming technique. Here, binary t-norms are expressed in extended n-ary t-norms and their basic properties and some special cases have been discussed. In this structural model formulation, the objective functions are the weight of the truss and the deflection of loaded joint; the design variables are the cross-sections of the truss members; the constraints are the stresses in members. A classical truss optimization example is presented here to demonstrate the efficiency of our proposed optimization approach. The test problem includes a three-bar planar truss subjected to a single load condition. This approximation approach is used to solve this multi-objective structural optimization model. The model is illustrated with numerical examples.

Neutrosophic Goal Programming Technique and its Application

This paper develops a multi-objective Neutrosophic Goal Optimization technique for optimizing the design of truss structure with multiple objectives subject to a specified set of constraints. In this optimum design formulation, the objective functions are weight and the deflection; the design variables are the cross-sections of the bar; the constraints are the stress in member.

Intuitionistic Fuzzy Multi–Objective Structural Optimization using Non-linear Membership Functions

In this paper, we develop an intuitionistic fuzzy optimization approach using non-linear membership and non-membership function for optimizing multi objective structural model. 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. A classical truss optimization example is given to demonstrate the efficiency of the Intuitionistic fuzzy optimization approach with nonlinear membership function. A three-bar planar truss subjected to a single load condition is considered as a test problem. Numerical example is given to illustrate our approach.

Structural Design Optimization using Parameterized P-norm Based Geometric Programming Technique

In this paper we will make an approach to solve single objective structural model using parameterized p-norm based fuzzy Geometric Programming technique. A structural design model in fuzzy environment has been developed. Here pnorm based generalised triangular fuzzy number (GTFN) is considered as fuzzy parameter so that the decision maker can take advantage of no-exact parameter. Generalised triangular p-norm is discussed with their basic properties and some special cases. In this structural model formulation, the objective function is the weight of the truss; the design variables are the cross-sections of the truss members; the constraints are the stresses in members. A classical truss optimization example is presented here in to demonstrate the efficiency of our proposed optimization approach. The test problem includes a two-bar planar truss subjected to a single load condition. This approximation approach is used to solve this single-objective structural optimization model. The model is illustrated with numerical examples. Keywords— Generalized Triangular Fuzzy Number, p-norm, Geometric Programming, Single Objective Optimization, Structural Optimization.

Optimization of Structural Design by Fuzzy Geometric Programming Technique

In this paper we develop solution procedure of fuzzy geometric programming based on Warner’s approach for optimizing the design of plane truss structure with single objective subject to a specified constraint. In this optimum design formulation, the objective function is the weight of the truss; the design variables are the cross-sections of the truss members; the constraint is the stresses in member. A classical truss optimization example is presented here in to demonstrate the efficiency of this technique. The test problem includes a two-bar planar truss subjected to a single load condition. This single-objective structural optimization model is solved fuzzy geometric programming technique. Numerical example is given to illustrate our approach. Keyword:Two-bar Truss Design, GeometricProgramming,Fuzzy Geometric Programming, Warner’sApproach, Max-additive Operator.