An interactive neutrosophic programming approach for multi objective crop planning problem with intuitionistic fuzzy parameter in Ariyalur District

Article type: Research Article

Authors: Angammal, S. | Hannah Grace, G.^{; *}

Affiliations: Vellore Institute of Technology, School of Advanced Science, Mathematics, Chennai, India

Correspondence: [*] Corresponding author: G. Hannah Grace. E-mail: [email protected].

Abstract: In agriculture crop planning plays an important role. There are many uncertainties and indeterminacy factors that occur in agriculture cultivation process. Hence, many parameters are determined by using intuitionistic fuzzy number. The present study discussed the new Interactive Neutrosophic Programming Approach (INPA) based on Neutrosophic Set (NS) to increase the production and profit of Ariyalur district medium farm holder with minimum expenditure taking into account the land, labour, water & food requirement constraints. To verify and validate the proposed method, the results obtained by INPA are compared with some existing optimization approaches such as FOT, IFOT and Torabi interactive fuzzy optimization approach and it is clear that the proposed approach is superior than the existing model.

Keywords: Crop planning, multi objective optimization, intuitionistic fuzzy parameter, membership function, neutrosophic programming

DOI: 10.3233/JIFS-220156

Journal: Journal of Intelligent & Fuzzy Systems, vol. 43, no. 5, pp. 6189-6201, 2022