PENDEKATAN OPERASI UNION SETS MELALUI PRINSIP INKLUSI EKSKLUSI UNTUK OPTIMALISASI PORTOFOLIO KEUANGAN SYARIAH

Authors

  • Nabilla Rizkya Koswari UIN SUNAN GUNUNG DJATI BANDUNG

Keywords:

Union Sets, Prinsip Inklusi-Eksklusi, Portofolio Syariah, Diversifikasi Deterministik, Ekonomi Islam Indonesia

Abstract

Study This propose approach union sets operation through Principle Inclusion - Exclusion (PIE) as tool mathematical deterministic For optimization portfolio Islamic finance in Indonesia. Different from approach probabilistic or common fuzzy logic used, the union sets method allows merger unique sharia assets (sukuk, mudharabah, murabahah, ijarah, waqf productive, etc) with remove duplication or overlapping overlap between instruments in a way right. Principle inclusion exclusion used For count cardinality combination asset in a way accurate so that formed portfolio own level diversification maximum without redundancy, at the same time still comply prohibition usury, gharar, maysir, and principles maqashid sharia.   

References

Badan Pusat Statistik (BPS). (2024). Kontribusi Ekonomi Islam terhadap PDB Indonesia. Jakarta: BPS.

Badan Pusat Statistik (BPS). (2025). Kontribusi Ekonomi Syariah. Jakarta: BPS.

Bank Indonesia. (2024). Laporan Statistik Perbankan Syariah. Jakarta: BI.

DSN-MUI. (2024). Fatwa Instrumen Keuangan Syariah. Jakarta: DSN-MUI.

Otoritas Jasa Keuangan (OJK). (2024). Regulasi Instrumen Keuangan Islam. Jakarta: OJK.

Otoritas Jasa Keuangan (OJK). (2025). Panduan Optimalisasi Portofolio Syariah. Jakarta: OJK.

Otoritas Jasa Keuangan (OJK). (2025). Statistik Keuangan Syariah. Jakarta: OJK.

Rosen, K.H. (2021). Discrete Mathematics and Its Applications. McGraw-Hill.

Santoso, A. (2022). Model Fuzzy Sets dalam Ekonomi Islam. Jurnal Ekonomi Syariah

Santoso, A. (2023). Penerapan Himpunan dalam Ekonomi. Jurnal Ekonomi

Umar, M.A. (2023). Ekonomi Islam dan Matematika Terapan. Jurnal Ekonomi Syariah

Wilf, H.S. (1994). Generatingfunctionology. Academic Press.

Published

2026-06-08 — Updated on 2026-06-08

Versions

How to Cite

PENDEKATAN OPERASI UNION SETS MELALUI PRINSIP INKLUSI EKSKLUSI UNTUK OPTIMALISASI PORTOFOLIO KEUANGAN SYARIAH. (2026). Journal of Islamic Economics and Business Review (JIEBR), 2(1), 75-82. https://ejournal.unisi.ac.id/index.php/JIEBR/article/view/5322