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All Journal Science and Technology Indonesia Jurnal Matematika UNAND InPrime: Indonesian Journal Of Pure And Applied Mathematics Community Development Journal: Jurnal Pengabdian Masyarakat Warta Pengabdian Andalas: Jurnal Ilmiah Pengembangan Dan Penerapan Ipteks Multicience
Haripamyu Haripamyu
Universitas Andalas
Arts Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Economics, Econometrics & Finance Education Environmental Science Health Professions Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Materials Science & Nanotechnology Mathematics Medicine & Pharmacology Physics Public Health Social Sciences Other

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FUZZY CALCULUS: A COMPREHENSIVE LITERATURE REVIEW Efendi; Admi Nazra; Mahdhivan Syafwan; Haripamyu
INTERNATIONAL JOURNAL OF MULTI SCIENCE Vol. 5 No. 02 (2025): INTERNATIONAL JOURNAL OF MULTISCIENCE - MAY -AUGUST 2025
Publisher : CV KULTURA DIGITAL MEDIA

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Abstract

This report presents a literature review on Fuzzy Calculus, a field that emerged from the integration of classical calculus with fuzzy set theory. Classical calculus, although fundamental for modeling precise systems, has limitations in dealing with the uncertainty and ambiguity inherent in real-world phenomena. Fuzzy calculus extends the concepts of derivative and integral to the fuzzy domain, enabling modeling of dynamic systems involving uncertain variables. This report outlines the basic concepts, methodologies of fuzzy differentiation and integration, and highlights significant opportunities in dynamic systems modeling, optimization, control systems, artificial intelligence, and various cross-disciplinary case studies. In addition, theoretical and practical challenges including unique operation definitions, lack of standardization, result interpretation issues, and computational complexity are discussed. Finally, it presents future research directions of Fuzzy Calculus in the face of complexity and uncertainty in the modern world.
Co-Authors Admi Nazra Arrival Rince Putri Asdi, Yudiantri Athia Nurindah Sari Bahri, Susila Baqi, Ahmad Iqbal Citra N A Fariz Des Welyyanti EFENDI Ekariani, Shelvi Fajri Oktariadi Fariz, Citra N A Hazmira Yozza Helmi, Monika Rianti Izzati Rahmi HG Jenizon Jenizon Kamarni, Neng Marwan Marwan Mawanda Almuhayar Nadya Puspita Sari Noverina Alfiany RIRI ALFAKHRIATI Riri Lestari Riski Kurniawan Sagita Putri, Vella SENDY AIWA PRATAMA Syafwan, Mahdhivan Wahyuni, Annisa Wulandari, Sintya Yanita Yanita Yanuar, Ferra YOZA FERNANDA ZAINUL RAHMAT Zetra, Aidinil Zulakmal, Zulakmal