Fuzzy weak filters of Sheffer stroke Hilbert algebras

Rajab Ali Borzooei; Gholam Reza Rezaei; Young Bae Jun

Published: 2023-07-26

Vol. 37 No. 2 (2023)

Fuzzy weak filters of Sheffer stroke Hilbert algebras

Rajab Ali Borzooei

, Gholam Reza Rezaei , Young Bae Jun

Abstract

The (fuzzy) filter of the Sheffer stroke Hilbert algebra was addressed by Oner, Katican and Borumand Saeid. The weak version of the filter was discussed by Jun and Oner. In this manuscipt, with the fuzzy version of the weak filter in mind, the notions of fuzzy weak filters and (∈.∈∨q)-fuzzy weak filters are introduced, and their properties are explored. Conditions under which t-level set, Q_t-set and t-∈∨q-set become weak filters are explored in relation to fuzzy weak filters and (∈.∈∨q)-fuzzy weak filters. The relationship and characterization of the fuzzy weak filter and the (∈.∈∨q)-fuzzy weak filter are investigated.

Keywords:

Sheffer stroke Hilbert algebra , (fuzzy) weak filter , (∈.∈∨q)-fuzzy weak filter , t-level set , Q_t-set , t-∈∨q-set

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Borzooei, R. A., Rezaei, G. R., & Jun, Y. B. (2023). Fuzzy weak filters of Sheffer stroke Hilbert algebras. Annales Mathematicae Silesianae, 37(2), 185–203. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/15790

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Rajab Ali Borzooei

borzooei@sbu.ac.ir
https://orcid.org/0000-0002-0694-3064

Affiliation:

Department of Mathematics, Shahid Beheshti University Iran, Islamic Republic of

Gholam Reza Rezaei

Affiliation:

Department of Mathematics, University of Sistan and Baluchestan Iran, Islamic Republic of

Young Bae Jun

Affiliation:

Department of Mathematics Education, Gyeongsang National University Korea, Republic of

Vol. 37 No. 2 (2023)
Published: 2023-09-21

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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