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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
- 215 - 230 (16page)
- DOI
- 10.5391/IJFIS.2024.24.3.215
이용수
초록· 키워드
오류제보하기
This paper establishes the relationship among L-fuzzy approximation spaces, L-fuzzy formal context analysis, and L-fuzzy Chu spaces, where L is a residuated lattice. Specifically, three types of L-fuzzy concept lattices are constructed based on generalized L-fuzzy rough approximation operators and linked to the classical L-fuzzy concept lattice, which is generated using Birkhoff operators. We further show that each L-fuzzy approximation space can be represented as an L-fuzzy Chu space, and this representation preserves products and coproducts. Establishing these relationships not only provides a unified framework for different L-fuzzy concepts but also opens the way for further advancements in the theoretical foundation of fuzzy logic. This work bridges the gap between different mathematical approaches to fuzziness, offering new insights and tools in the field.
목차
Abstract
1. Introduction
2. Preliminaries
3. Categories of L-Fuzzy Approximation Spaces
4. L-Fuzzy Formal Context Analysis vs. Generalized L-Fuzzy Approximation Space
5. L-Fuzzy Chu Spaces Associated with L-Fuzzy Approximation Spaces
6. Conclusion
References
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