Multi-objective optimization model for uncertain crop production under neutrosophic fuzzy environment: A case study

Sajida Kousar; Maryam Nazir Sangi; Nasreen Kausar; Dragan Pamucar; Ebru Ozbilge; Tonguc Cagin; Sajida Kousar; Maryam Nazir Sangi; Nasreen Kausar; Dragan Pamucar; Ebru Ozbilge; Tonguc Cagin

doi:10.3934/math.2023380

AIMS Mathematics

2023, Volume 8, Issue 3: 7584-7605. doi: 10.3934/math.2023380

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Multi-objective optimization model for uncertain crop production under neutrosophic fuzzy environment: A case study

1.
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
2.
Department of Mathematics, Faculty of Arts and Sciences, Yildiz Technical University, Istanbul, Turkey
3.
Faculty of Organizational Sciences, University of Belgrade, Belgrade, Serbia
4.
American University of the Middle East, Department of Mathematics and Statistics, Egaila, Kuwait

Received: 26 October 2022 Revised: 21 December 2022 Accepted: 23 December 2022 Published: 17 January 2023
MSC : 90C29, 90C70, 90C90

In real world uncertainty exist in almost every problem. Decision-makers are often unable to describe the situation accurately or predict the outcome of potential solutions due to uncertainty. To resolve these complicated situations, which include uncertainty, we use expert descriptive knowledge which can be expressed as fuzzy data. Pakistan, a country with a key geographic and strategic position in South Asia, relies heavily on irrigation for its economy, which involves careful consideration of the limits. A variety of factors can affect yield, including the weather and water availability. Crop productivity from reservoirs and other sources is affected by climate change. The project aims to optimize Kharif and Rabbi crop output in canal-irrigated areas. The optimization model is designed to maximize net profit and crop output during cropping seasons. Canal-connected farmed areas are variables in the crop planning model. Seasonal crop area, crop cultivated area, crop water requirement, canal capacity, reservoir evaporation, minimum and maximum storage, and overflow limits affect the two goals. The uncertainties associated with the entire production planning are incorporated by considering suitable membership functions and solved using the Multi-Objective Neutrosophic Fuzzy Linear Programming Model (MONFLP). For the validity and effectiveness of the technique, the model is tested for the wheat and rice production in Pakistan. The study puts forth the advantages of neutrosophic fuzzy algorithm which has been proposed, and the analyses derived can be stated to deal with yield uncertainty in the neutrosophic environments more effectively by considering the parameters which are prone to abrupt changes characterized by unpredictability.
- multi-objective linear programming,
- neutrosophic optimization,
- crop production,
- water reservoir active storage,
- unpredictability
Citation: Sajida Kousar, Maryam Nazir Sangi, Nasreen Kausar, Dragan Pamucar, Ebru Ozbilge, Tonguc Cagin. Multi-objective optimization model for uncertain crop production under neutrosophic fuzzy environment: A case study[J]. AIMS Mathematics, 2023, 8(3): 7584-7605. doi: 10.3934/math.2023380

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Abstract

In real world uncertainty exist in almost every problem. Decision-makers are often unable to describe the situation accurately or predict the outcome of potential solutions due to uncertainty. To resolve these complicated situations, which include uncertainty, we use expert descriptive knowledge which can be expressed as fuzzy data. Pakistan, a country with a key geographic and strategic position in South Asia, relies heavily on irrigation for its economy, which involves careful consideration of the limits. A variety of factors can affect yield, including the weather and water availability. Crop productivity from reservoirs and other sources is affected by climate change. The project aims to optimize Kharif and Rabbi crop output in canal-irrigated areas. The optimization model is designed to maximize net profit and crop output during cropping seasons. Canal-connected farmed areas are variables in the crop planning model. Seasonal crop area, crop cultivated area, crop water requirement, canal capacity, reservoir evaporation, minimum and maximum storage, and overflow limits affect the two goals. The uncertainties associated with the entire production planning are incorporated by considering suitable membership functions and solved using the Multi-Objective Neutrosophic Fuzzy Linear Programming Model (MONFLP). For the validity and effectiveness of the technique, the model is tested for the wheat and rice production in Pakistan. The study puts forth the advantages of neutrosophic fuzzy algorithm which has been proposed, and the analyses derived can be stated to deal with yield uncertainty in the neutrosophic environments more effectively by considering the parameters which are prone to abrupt changes characterized by unpredictability.

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