Abstract
In this paper, a multi-objective non-linear neutrosophic optimization (NSO) approach for optimizing the design of plane truss structure with multiple objectives subject to a specified set of constraints has been developed. 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 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 the neutrosophic optimization approach. The test problem includes a three-bar planar truss subjected to a single load condition. This multi-objective structural optimization model is solved by neutrosophic optimization approach with linear and non-linear membership function. Numerical example is given to illustrate our NSO approach..
Highlights
The research area of optimal structural design has been receiving increasing attention from both academia and industry over the past three decades in order to improve structural performance and to reduce design costs
Several researchers like Wang et al [3] first applied α-cut method to structural designs where the non-linear problems were solved with various design levels α, and a sequence of solutions were obtained by setting different level-cut value of α
In fuzzy sets the degree of acceptance is only considered but Intuitionistic fuzzy set (IFS) is characterized by a membership function and a non-membership function so that the sum of both values is less than one
Summary
The research area of optimal structural design has been receiving increasing attention from both academia and industry over the past three decades in order to improve structural performance and to reduce design costs. In the context of structural design the uncertainty is connected with lack of accurate data of design factors This tendency has been changing due to the increase in the use of fuzzy mathematical algorithm for dealing with this class of problems. Dey et al.[10]used basic t-norm based fuzzy optimization technique for optimization of structure In such extension, Atanassov [11] introduced Intuitionistic fuzzy set (IFS) which is one of the generalizations of fuzzy set theory and is characterized by a membership function, a non- membership function and a hesitancy function. Dey et al [14] used intuitionistic fuzzy optimization technique for multi objective optimum structural design. The motivation of the present study is to give computational algorithm for solving multi-objective structural problem by single valued neutrosophic optimization approach. It has been seen that there is no change between the result of linear and non-linear neutrosophic optimization technique in the perspective of structural optimization technique
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