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Deductive systems and filters of Sheffer stroke Hilbert algebras based on the bipolar-valued fuzzy set environment
- Issue Date
- Feb-2024
- Publisher
- Kluwer Academic Publishers
- Keywords
- (bipolar-valued fuzzy) deductive system; (normal) bipolar-valued fuzzy filter; filter; Sheffer stroke Hilbert algebra
- Citation
- Journal of Computational Analysis and Applications, v.32, no.1, pp 192 - 210
- Pages
- 19
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 32
- Number
- 1
- Start Page
- 192
- End Page
- 210
- ISSN
- 1521-1398
1572-9206
- 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. © 2024 EUDOXUS PRESS, LLC.
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