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Solution of intuitionistic fuzzy linear programming problem by dual simplex algorithm and sensitivity analysis
Author(s) -
Mohan Suresh,
Kannusamy Arun Prakash,
Sidhu Sukhpreet Kaur
Publication year - 2021
Publication title -
computational intelligence
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.353
H-Index - 52
eISSN - 1467-8640
pISSN - 0824-7935
DOI - 10.1111/coin.12435
Subject(s) - sensitivity (control systems) , simplex algorithm , linear programming , ranking (information retrieval) , simplex , mathematics , mathematical optimization , dual (grammatical number) , algorithm , range (aeronautics) , fuzzy logic , fuzzy number , computer science , fuzzy set , artificial intelligence , combinatorics , art , materials science , literature , electronic engineering , engineering , composite material
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.