Alternative approach to find optimal solution of assignment problem using Hungarian method by trapezoidal intuitionistic type-2 fuzzy data

Document Type : Original Article

Authors

1 Department of Mathematics, Springdale High School, Kalyani, West Bengal

2 Dean Academic, Department of Mathematics, Regent Education and Research Foundation Bara Kanthalia, Sewli Telini Para, North 24 Parganas, Barrackpore, Kolkata, West Bengal 700121

3 Department of Mathematics, BANKURA UNIVERSITY, West Bengal, India

Abstract

Now a day’s uncertainty is a common thing in science and technology. It is undesirable also. Based on alternative view, it should be avoided by all possible means. Based on modern view uncertainty is considered essential to science and technology, it is not only the unavoidable plague but also it has impacted a great utility. Fuzzy set theory mainly developed based on inexactness, vagueness, relativity etc. fuzzy set may be used in mathematical modelling in every scientific discipline. It can also use for improving the generality of analytical solution. It has many uses in various streams like -operation research, control theory differential equations, fuzzy system reliability, optimization and management sciences etc. In this paper we first describe Trapezoidal intuitionistic Type 2 fuzzy number(TrIT2FN) with arithmetic operations and solve an assignment problem using Hungarian method for Trapezoidal intuitionistic Type 2 fuzzy number (TrIT2FN).

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References

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Annals of Optimization Theory and Practice
Volume 3, Issue 3
December 2020
Pages 155-173

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