Application of the Fuzzy Logic Mamdani Method in Determining Inheritance Rights of Adopted Children

DOI

10.2991/978-2-38476-525-6_40How to use a DOI?

Keywords

Adopted Child; Faraid; Fuzzy Logic; Islamic Law; Mamdani Method; Wasiat Wajibah

Abstract

This study integrates mathematics and Islamic law in addressing the issue of inheritance (faraid) distribution for adopted children, who are not considered legal heirs under Islamic jurisprudence. The problem arises when adoptive parents wish to allocate a portion of their estate fairly without violating Sharia principles. The purpose of this research is to develop an alternative model for determining inheritance rights for adopted children using a Fuzzy Logic approach, specifically the Fuzzy Inference System (FIS) with the Mamdani method, as a mathematical solution to uncertainty in Islamic inheritance law. The research employs a quantitative-descriptive method with a case study and a mathematical modeling approach. The variables used include emotional closeness, duration of cohabitation, and contribution to the family. Through the processes of fuzzification, inference, and defuzzification, the results indicate that the adopted child is entitled to 14% of the total inheritance, consistent with the maximum one-third limit stipulated in the wasiat wajibah provision under the Compilation of Islamic Law (CIL). The novelty of this research lies in the direct application of Fuzzy logic in Islamic inheritance distribution, an area that has received little prior attention. The model provides an objective and systematic mechanism for handling ambiguous legal conditions and preventing social conflict. In conclusion, the Mamdani Fuzzy Inference System serves as a fair, transparent, and Sharia-compliant decision-support tool for inheritance cases involving adopted children, while also paving the way for the development of integrated digital systems in modern Islamic legal practices.

Copyright

© 2025 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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TY  - CONF
AU  - Riska Melynda
AU  - Ahmad Choirul Anam
AU  - Mohamad Tohir
AU  - Moh. Atikurrahman
PY  - 2025
DA  - 2025/12/31
TI  - Application of the Fuzzy Logic Mamdani Method in Determining Inheritance Rights of Adopted Children
BT  - Proceedings of International Conference on Neuroscience and Learning Technology (ICONSATIN 2025)
PB  - Atlantis Press
SP  - 397
EP  - 411
SN  - 2352-5398
UR  - https://doi.org/10.2991/978-2-38476-525-6_40
DO  - 10.2991/978-2-38476-525-6_40
ID  - Melynda2025
ER  -