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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국지능시스템학회 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS Vol.24 No.2
- 발행연도
- 2024.6
- 수록면
- 171 - 180 (10page)
- DOI
- 10.5391/IJFIS.2024.24.2.171
이용수
초록· 키워드
오류제보하기
This study primarily addresses solutions to a system of first-order linear fuzzy initial value problems in the context of granular differentiability, and explores the real-life applications of such systems. We recall the concepts of the horizontal membership function, granular metrics, limits, continuity, differentiability, and integrability for fuzzy functions with ndimensional fuzzy numbers. We then present a fundamental theorem that establishes the existence and uniqueness of solutions for both homogeneous and nonhomogeneous systems of first-order linear fuzzy initial value problems. In addition, we describe an algorithm for solving nonhomogeneous systems under granular differentiability. Finally, we provide real-life applications - including models for lidocaine and irregular heartbeats, Richardson’s arms race, and radioactive decay phenomena in a fuzzy environment - to demonstrate the practical utility of the proposed algorithm.
목차
Abstract
1. Introduction
2. Preliminaries
3. Fundamental Theorems for Systems of First-Order Linear Fuzzy Initial Value Problems
4. Applications
5. Conclusion
References
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