Abstract

In this article a fuzzy multiobjective chance constrained programming model is used for modeling and solving land allocation problems efficiently with the help of fuzzy goal programming. Optimal production of seasonal crops and related expenditures are considered from the viewpoint of proper utilization of total cultivating land and different farming resources. Some resource parameters associated with the probabilistic constraints are taken as normally distributed fuzzy random variables. The potential use of this methodology is illustrated by a case example.

Highlights

  • Agricultural land allocation and production planning of different seasonal crops are important issues from both social and economic perspectives

  • This paper describes fuzzy MOCCP (FMOCCP) model based on Fuzzy GP (FGP) for maximization of production to meet the increasing demand of the society with a view to maintain a reasonable balance of associated expenditure by considering optimal allocation of cultivable lands in an agricultural planning system

  • An optimal cropping plan for allocation of lands under cultivation from the viewpoint of maximizing the total production and minimizing the expenditure of cultivation has been achieved under the proposed framework

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Summary

Introduction

Agricultural land allocation and production planning of different seasonal crops are important issues from both social and economic perspectives. In the context of planning seasonal crops, different resources like availability of lands, man powers, water, fertilizers, and capital are to be considered for optimizing production and expenditure which depend largely on proper methods of irrigation, soil characteristics, cropping patterns, socioeconomic conditions, climates and many other factors. X−aL a−aL aR−x aR−a if if x < aL, x > aR aL ≤ x ≤ a a ≤ x ≤ aR where aL and aR denote, respectively, the left and right tolerance values of the fuzzy number a. It is represented by the following Fig. 1

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