Truss Design Optimization with Imprecise Load and Stress in Intuitionistic Fuzzy Environment

Abstract

In this paper, we have introduced a intuitionistic fuzzy mathematical programming with intuitionistic fuzzy number as co-efficient of objectives. Real world engineering problems are usually designed with imprecise parameter by the presence of many conflicting objectives. In this paper we develop an approach to solve multi-objective structural design using probabilistic operator. Here total integral values of triangular intuitionistic fuzzy number,and it has been used for imprecise applied load and material density in the test problem. In this paper we have considered a multi objective structural optimization model with weight and deflection as objectives and stress as constraint function. Here design variables are considered as cross sectional area of bars. This classical truss design example is presented here in to demonstrate the significance of our proposed optimization approach. Numerical example is given here to illustrate this structural model through this approximation method.

Optimization of Welded Beam with Imprecise Load and Stress by Parameterized Neutrosophic Optimization Technique

“…In IFS theory we usually consider degree of acceptance, and degree of rejection where as we consider only membership function in fuzzy set. Sarkar 13 optimize two bar truss design with imprecise load and stress in intuitionistic fuzzy environment calculating total integral values of triangular intuitionistic fuzzy number. Shu 14 applied triangular intuitionistic fuzzy number to fault tree analysis on printed board circuit assembly.…”

Optimization of Welded Beam with Imprecise Load and Stress by Parameterized Intuitionistic Fuzzy Optimization Technique

“…A few research work has been done on intuitionistic fuzzy optimization in the field of structural optimization. Sarkar [13] optimize two bar truss design with imprecise load and stress in intuitionistic fuzzy environment calculating total integral values of triangular intuitionistic fuzzy number. Shu [14] applied triangular intuitionistic fuzzy number to fault tree analysis on printed board circuit assembly.…”