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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.3
- 발행연도
- 2024.9
- 수록면
- 203 - 214 (12page)
- DOI
- 10.5391/IJFIS.2024.24.3.203
이용수
초록· 키워드
오류제보하기
Since Zadeh introduced fuzzy sets, various operations for fuzzy numbers, including power and roots, have been proposed. Both square and cube roots are essential in fields that use numbers, including fuzzy numbers. Byun et al. (Soft Computing 26(9), 4163–4169 (2022)) introduced the delta root for the square root of a fuzzy number. This study extends this concept by proposing a delta-cube root, offering a functional approach that maintains the integrity of α-level sets and aligns them with Zadeh’s extension principle. Additionally, we introduce the delta n-th root, which generalizes both the delta and delta cube roots, thus broadening the scope of operations on fuzzy numbers.
목차
Abstract
1. Introduction
2. Preliminaries
3. The Delta Cube Root of a Fuzzy Number
4. The Delta Cube Root of the Cube of a Fuzzy Number
5. Discussion on the Delta n-th Root of a Fuzzy Real Number
6. Conclusion
References
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