Öz
Proje Numarası
12371462, 12231007
Kaynakça
- [1] N. Ajmal, Fuzzy group theory: a comparison of different notions of product of fuzzy sets, Fuzzy Sets Syst. 110 (3), 437–446, 2000.
Öz
Motivated by Zadeh's extension of mappings, this paper introduces a concept of lifts of powerset mapping systems. In this framework, $L$-subsets are lifts of ordinary subsets, $L$-Zadeh functions are lifts of ordinary mappings, $L$-fuzzy rough set operators are lifts of classical rough set operators, $L$-interior/closure operators of $L$-topology are lifts of interior/closure operators of level topologies. Consequently, lifts of powerset mapping systems can be considered as a useful fuzzy structures for future study.
Anahtar Kelimeler
Completely distributive lattice $L$-valued powerset mapping systems lift of mappings
Proje Numarası
12371462, 12231007
Kaynakça
- [1] N. Ajmal, Fuzzy group theory: a comparison of different notions of product of fuzzy sets, Fuzzy Sets Syst. 110 (3), 437–446, 2000.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Uygulamalı Matematik (Diğer) |
| Bölüm | Matematik |
| Yazarlar | |
| Proje Numarası | 12371462, 12231007 |
| Erken Görünüm Tarihi | 11 Nisan 2025 |
| Yayımlanma Tarihi | |
| Gönderilme Tarihi | 21 Eylül 2024 |
| Kabul Tarihi | 29 Aralık 2024 |
| Yayımlandığı Sayı | Yıl 2025 Erken Görünüm |