IDEALS OF SHEFFER STROKE HILBERT ALGEBRAS BASED ON FUZZY POINTSIDEALS OF SHEFFER STROKE HILBERT ALGEBRAS BASED ON FUZZY POINTS
- Other Titles
- IDEALS OF SHEFFER STROKE HILBERT ALGEBRAS BASED ON FUZZY POINTS
- Authors
- 전영배; Tahsin Oner
- Issue Date
- Mar-2024
- Publisher
- 호남수학회
- Keywords
- Sheffer stroke Hilbert algebra; fuzzy point; (fuzzy) ideal; fuzzy deductive system; level set.
- Citation
- 호남수학학술지, v.46, no.1, pp 82 - 100
- Pages
- 19
- Indexed
- ESCI
KCI
- Journal Title
- 호남수학학술지
- Volume
- 46
- Number
- 1
- Start Page
- 82
- End Page
- 100
- URI
- https://scholarworks.gnu.ac.kr/handle/sw.gnu/70332
- DOI
- 10.5831/HMJ.2024.46.1.82
- ISSN
- 1225-293X
2288-6176
- Abstract
- The main objective of the study is to introduce ideals of Shef fer stroke Hilbert algebras by means of fuzzy points, and investigate some properties. The process of making (fuzzy) ideals and fuzzy deductive systems through the fuzzy points of Sheffer stroke Hilbert algebras is illustrated, and the (fuzzy) ideals and the fuzzy deductive systems are characterized. Certain sets are defined by virtue of a fuzzy set, and the conditions under which these sets can be ideals are revealed. The union and intersection of two fuzzy ideals are analyzed, and the relationships between aforementioned structures of Sheffer stroke Hilbert algebras are built.
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