Solution of intuitionistic fuzzy linear programming problem by dual simplex algorithm and sensitivity analysis

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 solutio...

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Bibliographic Details
Published in:Computational intelligence Vol. 37; no. 2; pp. 892 - 912
Main Authors: Mohan, Suresh, Kannusamy, Arun Prakash, Sidhu, Sukhpreet Kaur
Format: Journal Article
Language:English
Published: Hoboken, USA John Wiley & Sons, Inc 01.05.2021
Blackwell Publishing Ltd
Subjects:
Algorithms
dual simplex method
fuzzy sets
intuitionistic fuzzy sets
intuitionistic linear programming problem
Linear programming
Mathematical models
Optimization
Parameter sensitivity
Problem solving
ranking of triangular intuitionistic fuzzy numbers
Sensitivity analysis
Simplex method
triangular intuitionistic fuzzy number
ISSN:0824-7935, 1467-8640
Online Access:Get full text
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Summary: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.
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ISSN:0824-7935
1467-8640
DOI:10.1111/coin.12435