Abstract

Most Muslims believe that Faraid is the ultimate rule to distribute inheritance. Faraid implementation may cause issues on land distribution. When a small piece of land is subdivided among the legal heirs, the portion of land received might be insufficient to even build a house. The awareness on Takharuj concept which is based on mutual consent in inheritance distribution may help solve this problem. The aim of this research is to optimize land distribution and land use. Specific assumptions were made to lineage, family ties and land criteria. This article reports the use of Goal Programming to formulate a Takharuj-based model that can solve issues regarding productivity of land that has been distributed using Faraid laws. Goals set for the programming were to minimize the deviations for the portion of land and to minimize the number of heirs who owns the piece of land after combination. A list of possible combinations of the arable land size was generated. The model was able to select the optimal combination based on the minimum weighted sum of deviations from the goals that were set. Therefore, this research has successfully provided a useful Takharuj-based model to optimize the arable land size where the land owned by each qualified heir can be categorized as a productive land to be developed.

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