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Solution of intuitionistic fuzzy linear programming problem by dual simplex algorithm and sensitivity analysis
Computational Intelligence ( IF 1.8 ) Pub Date : 2021-02-09 , DOI: 10.1111/coin.12435
Suresh Mohan 1 , Arun Prakash Kannusamy 1 , Sukhpreet Kaur Sidhu 2
Affiliation  

Sensitivity analysis is designed to study the effect on the optimal solution of changes in model parameters. This analysis is known to be an integral part of any real-life problem solving. This gives a system a dynamic function that enables a researcher to analyze the behavior of the optimal solution as a result of changing the parameters of the model. In this article, postoptimality analysis for changes in objective functions and constraints is presented with suitable numerical illustrations by dual simplex method using magnitude based ranking of triangular intuitionistic fuzzy numbers. The sensitivity range is determined within which the parameters that exist in intuitionistic fuzzy linear programming problem can vary without affecting the optimality of the solution.

中文翻译:

用对偶单纯形法和灵敏度分析求解直觉模糊线性规划问题。

灵敏度分析旨在研究对模型参数变化的最优解的影响。众所周知,这种分析是任何现实生活中问题解决的组成部分。这为系统提供了动态功能,使研究人员能够分析由于更改模型参数而导致的最佳解决方案的行为。在本文中,通过对偶单纯形法,使用基于大小的三角直觉模糊数排序,通过对偶函数法,对目标函数和约束的变化进行了优化后分析。确定灵敏度范围,在该范围内可以改变直觉模糊线性规划问题中存在的参数,而不会影响解决方案的最优性。
更新日期:2021-02-09
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