Fuzzy stabilizers in BL-algebras
| Autor: | Pengfei He, Xiaolong Xin, Xiao-Yun Cheng, Jun-Tao Wang |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Pure mathematics 020901 industrial engineering & automation Mathematics::General Mathematics General Mathematics 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing 02 engineering and technology Bl algebras Fuzzy logic Mathematics |
| Zdroj: | Filomat. 32:1783-1788 |
| ISSN: | 2406-0933 0354-5180 |
| DOI: | 10.2298/fil1805783c |
| Popis: | The primary goal of this paper is to develop fuzzy stabilizer theory in BL-algebras. Two types of fuzzy stabilizers are introduced and their related properties are given. Also, the relationships between fuzzy stabilizers and several fuzzy filters are discussed. Finally, by means of fuzzy stabilizers, it is proven that the collection of all fuzzy filters in BL-algebras forms a residuated lattice. These results will provide a solid algebraic foundation for the consequence connectives in fuzzy logic. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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