Systems of First-Order Linear Fuzzy Initial Value Problems and Their Applications
This study primarily addresses solutions to a system of first-order linear fuzzy initial valueproblems in the context of granular differentiability, and explores the real-life applicationsof such systems. We recall the concepts of the horizontal membership function, granularmetrics, limits, continui...
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Published in | INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS Vol. 24; no. 2; pp. 171 - 180 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
한국지능시스템학회
01.06.2024
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Subjects | |
Online Access | Get full text |
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Summary: | This study primarily addresses solutions to a system of first-order linear fuzzy initial valueproblems in the context of granular differentiability, and explores the real-life applicationsof such systems. We recall the concepts of the horizontal membership function, granularmetrics, limits, continuity, differentiability, and integrability for fuzzy functions with n-dimensional fuzzy numbers. We then present a fundamental theorem that establishes theexistence and uniqueness of solutions for both homogeneous and nonhomogeneous systemsof first-order linear fuzzy initial value problems. In addition, we describe an algorithm forsolving nonhomogeneous systems under granular differentiability. Finally, we provide real-lifeapplications - including models for lidocaine and irregular heartbeats, Richardson’s arms race,and radioactive decay phenomena in a fuzzy environment - to demonstrate the practical utilityof the proposed algorithm. KCI Citation Count: 0 |
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ISSN: | 1598-2645 2093-744X |
DOI: | 10.5391/IJFIS.2024.24.2.171 |