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Abstract
This paper describes how the fuzzy goal programming (FGP) can be efficiently used for modelling and solving land allocation problems having chance constraints for optimal production of seasonal crops of agricultural system in inexact environment. The environment in which we live and work is highly imprecise in nature. Unpredictability of the rainfall conditions and unavailability of fresh irrigation water supply due to socio-economic conditions is a matter of concern in the complex real world agricultural situations.
In the proposed model, utilization of total cultivable land, different farming resources, achievement of the aspiration levels of production of seasonal crops are fuzzily described. Water supply as a productive resource and the socio-economic constraints are described probabilistically in the decision making environment. The land-use planning problem for production of the five principal crops such as Paddy, Wheat, Mustard, Potato, Pulses in three different seasons such as the crop-cycles Pre-kharif, Kharif and Rabi successively throughout the planning year of the District Bardhaman of West Bengal (W.B.) in India is considered to illustrate the proposed FGP model.
In the solution process, achievement of the highest membership value (unity) of the membership goals defined for the fuzzy goals of the problem to the extent possible on the basis of the needs and desires of the decision maker (DM) is taken into account in the decision making horizon. The potential use of the approach is demonstrated by a case example of the Bardhaman district, West Bengal (W. B.), INDIA.