Weak Filters of Sheffer Stroke Hilbert Algebras Based on Intuitionistic Fuzzy Set

Authors

  • Sun Shin Ahn Department of Mathematics Education, Dongguk University, Seoul 04620, Korea
  • Young Joo Seo Research Institute for Natural Sciences, Department of Mathematics, Hanyang University, Seoul 04763, Korea.
  • Young Bae Jun Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6529

Keywords:

weak filter, intuitionistic fuzzy point, intuitionistic level set, intuitionistic $q$-set, $(0,1)$-set, intuitionistic fuzzy weak filter

Abstract

Using the concept of intuitionistic fuzzy points,  the weak filter in Sheffer stroke Hilbert algebras is addressed. The notion of intuitionistic fuzzy weak filters in Sheffer stroke Hilbert algebras is introduced, and their properties are investigated. Conditions under which the intuitionistic fuzzy set becomes an intuitionistic fuzzy weak filter are examined. Characterizations of intuitionistic fuzzy weak filters are considered,  and  conditions under which the intuitionistic fuzzy set becomes an intuitionistic fuzzy weak filter are discussed. The $(0,1)$-set for the intuitionistic fuzzy set is established, and  the phases in which it can be a weak filter are explored. Conditions for an intuitionistic level set and an intuitionistic q-set to be weak filters are provided.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Mathematical and Fuzzy Logic

License

Copyright (c) 2025 Sun Shin Ahn, Young Joo Seo, Young Bae Jun

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How to Cite

Weak Filters of Sheffer Stroke Hilbert Algebras Based on Intuitionistic Fuzzy Set. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6529. https://doi.org/10.29020/nybg.ejpam.v18i3.6529