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All Journal Jurnal Ilmiah Teknik Elektro Komputer dan Informatika (JITEKI) Desimal: Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan JMM (Jurnal Masyarakat Mandiri) Thaqafiyyat : Jurnal Bahasa, Peradaban dan Informasi Islam Jurnal Matematika UNAND Al-Misbah : Jurnal Islamic Studies SOSIO YUSTISIA Jurnal Hukum dan Perubahan Sosial MANGGALI Majalah Ilmiah Bahasa dan Sastra
Habiburrohman, Muhammad
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Religion Arts Humanities Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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ALGEBRAIC LAWS AND PROPERTIES OF PICTURE FUZZY SETS Oktaviani, Dinni Rahma; Habiburrohman, Muhammad; Norasia, Yolanda; Candra, Ainun Esti
Jurnal Matematika UNAND Vol. 15 No. 2 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.2.150-162.2026

Abstract

This paper investigates the fundamental algebraic laws and properties that hold in the framework of Picture Fuzzy Sets (PFS). Picture fuzzy sets extend classical fuzzy and intuitionistic fuzzy sets by incorporating an additional degree of neutrality, providing a more refined representation of uncertainty. We examine the validity of standard algebraic laws such as commutativity, associativity, distributivity, and idempotency under picture fuzzy operations, and identify the conditions under which these laws are preserved. The study contributes to a deeper understanding of the algebraic behavior of PFS and forms a theoretical basis for their further applications in fuzzy decision-making and information processing.
Co-Authors Achmad Zaky Aisy, Keisya Farras Rahadatul Amalina, Ijtihadi Kamilia Amelia, Rika Bagus, Moh. Candra, Ainun Esti Dinni Rahma Oktaviani Endang Retno Nugroho, Endang Retno Kurniawan, Prihadi Leonita, Leonita Norasia, Yolanda Novi Azman Nugroho, Fiki Syaban Saputri, Hanifah Nur Saputri, Romadhiyana Kisno Sholikah, Luluk Imro’atus Sueb Tafrikan, Mohamad Thobary, Amim Yani’ Qoriati