Abstract
The objective of the present study is to develop the irrigation planning model and to apply the same in the form of Two-Phase Multi Objective Fuzzy Linear Programming (TPMOFLP) approach for crop planning in command area of Jayakwadi Project Stage I, Maharashtra State, India. The development of TPMOFLP model is on the basis of various Linear Programming (LP) models and Multi Objective Fuzzy Linear Programming (MOFLP) models, these models have been applied for maximization of the Net Benefits (NB), Crop production (CP), Employment Generation (EG) and Manure Utilization (MU) respectively. The significant increase in the value of level of satisfaction (λ) has been found from 0.58 to 0.65 by using the TPMOFLP approach as compare to that of MOFLP model based on maxmin approach. The two-phase approach solution provides NB = 1503.56 Million Rupees, CP = 335729.30 Tons, EG = 29.74 Million Man days and MU = 160233.70 Tons respectively. The proposed model will be helpful for the Decision Maker (DM) to take a decision under conflicting situation while planning for different conflicting objectives simultaneously and has potential to find out an integrated irrigation planning with prime consideration for economic, social and environmental issue.
Highlights
The management of agriculture irrigation water resource has always accompanied by uncertainties due to randomness and imprecision in irrigation
The development of TwoPhase Multi Objective Fuzzy Linear Programming (TPMOFLP) model is on the basis of various Linear Programming (LP) models and Multi Objective Fuzzy Linear Programming (MOFLP) models, these models have been applied for maximization of the Net Benefits (NB), Crop production (CP), Employment Generation (EG) and Manure Utilization (MU) respectively
The proposed model will be helpful for the Decision Maker (DM) to take a decision under conflicting situation while planning for different conflicting objectives simultaneously and has potential to find out an integrated irrigation planning with prime consideration for economic, social and environmental issue
Summary
The management of agriculture irrigation water resource has always accompanied by uncertainties due to randomness and imprecision in irrigation. The fuzzy set theory is an alternative to deal with the uncertainty in irrigation planning. Vagueness in describing the planning goals/objectives and uncertainties involved in the decision parameter as well as decision variables can be done with the help of fuzzy set. The successful attempts have been made to develop the Fuzzy Linear Programming (FLP) by Zimmermann ([16, 17]), Werners [18], Lee and Li [19] and, subsequently, Guu and Wu [20] and Wu and Guu [21] proposed a new method, in which the FLP has initially solved and later the efforts have been made to improve the optimal solution by enhancing the level of satisfaction (λ). Li and Li [22] have proposed the two-phase approach to compute the efficient solutions to fuzzy multiple objective linear programming problems
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