Determination of Priority Structure through Fuzzy AHP-TOPSIS Approach in Agricultural Sector: A Comparative Study

Apurwa Bharti¹ , Babita Mishra²

1. Department of Mathematics, Mahatma Gandhi Central University, Motihari, India.
2. Department of Mathematics, Mahatma Gandhi Central University, Motihari, India.

Section:Research Paper, Product Type: Journal-Paper
Vol.10 , Issue.1 , pp.20-26, Feb-2023

Online published on Feb 28, 2023

Copyright © Apurwa Bharti, Babita Mishra . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The real life situation of finding an optimal crop production under conflicting criteria is uncertain, imprecise, and vague which makes it necessary to introduce fuzziness. TOPSIS is a well-known technique that has enhanced the accuracy for prioritizing the alternatives. Here the author uses the multi-criteria decision-making (MCDM) technique that includes the fuzzy TOPSIS technique and analytic hierarchy process employing triangular fuzzy numbers. This paper demonstrates the application of fuzzy AHP-TOPSIS for finding the priority of crops and obtaining the weight of the different criteria in linguistic terms which in turn proves to be very easy and involves minimal calculation. At present, there are many methods to find the priorities but one major drawback of these methods were that the methods are tedious to do. This paper proposes to saturate the mathematical calculation as much as possible and at the same time achieve the desired priority for the optimal solution. The author used a technique that combines the fuzzy analytic hierarchy process with the fuzzy TOPSIS. The result of this study could also serve as a guide for decision-makers in the agricultural sector. Later we consider the work done by Pal and Biswas, Mishra, and Singh to verify and compare the ranking and claim that the ranking of crops is almost the same thereby same profit, but the calculation done was easy to understand and less time taking.

Key-Words / Index Term :
MCDM, AHP-TOPSIS, Linguistic Variable, Weighted priority, Fuzzy goal programming

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