Abstract
The notion of bipolar-valued fuzzy set is used to treat the filter and deductive system in Sheffer stroke Hilbert algebras. The concepts of bipolarvalued fuzzy filter and bipolar-valued fuzzy deductive system are introduced and related properties are investigated. Conditions under which the bipolar-valued fuzzy set can be a bipolar-valued fuzzy filter are explored. Characterizations of the bipolar-valued fuzzy filter are examined. A bipolar-valued fuzzy filter is built using a filter. To consider the nomality of bipolar-valued fuzzy filter, the notion of normal bipolar-valued fuzzy filter is introduced and related properties are investigated. The method of normalizing the bipolar-valued fuzzy filter is addressed, and we will see what the normal bipolar-valued fuzzy filter looks like.
| Original language | English |
|---|---|
| Pages (from-to) | 192-210 |
| Number of pages | 19 |
| Journal | Journal of Computational Analysis and Applications |
| Volume | 32 |
| Issue number | 1 |
| State | Published - 2024 |
Keywords
- (bipolar-valued fuzzy) deductive system
- (normal) bipolar-valued fuzzy filter
- filter
- Sheffer stroke Hilbert algebra