$(3,2)$-fuzzy UP-subalgebras and $(3,2)$-fuzzy UP-filters

Document Type : Research Paper

Authors

1 Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

2 Department of Mathematics, Government Arts College for Women, Orathanadu-614625, Tamilnadu, India

3 Department of Mathematics, Rajah Serfoji Government College, affliated to Bharathdasan University, Thanjavur-613005, Tamilnadu, India

4 Department of Mathematics, GITAM, Deemed to be University, Hyderabad Campus, Telangana-502329, India

Abstract

The aim of this article is to apply a $(3,2)$-fuzzy set to the UP-subalgebras and UP-filters of UP-algebras. The concepts of $(3,2)$-fuzzy UP-subalgebra, $(3,2)$ -fuzzy near UP-filter and $(3,2)$ -fuzzy UP-filter in UP-algebras are introduced and  several properties, including their relations, are investigated. The conditions under which the $(3,2)$-fuzzy UP-subalgebra $($resp., $(3,2)$ -fuzzy near UP-filter$)$ can be the $(3,2)$-fuzzy near UP-filter $($resp., $(3,2)$-fuzzy UP-filter$)$ are searched. The characterizations of $(3,2)$-fuzzy UP-filter is provided and the relationship between intuitionistic fuzzy UP-subalgebra and $(3,2)$-fuzzy UP-subalgebra is discussed. We use fuzzy UP-subalgebra $($resp., fuzzy near UP-filter, fuzzy UP-filter$)$ to create a $(3,2)$-fuzzy UP-subalgebra $($resp., $(3,2)$-fuzzy near UP-filter, $(3,2)$-fuzzy UP-filter$)$.

Keywords

References

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Journal of Mahani Mathematical Research
Volume 11, Issue 3 - Serial Number 23
Special Issue dedicated to Prof. Mashaallah Mashinchi.
November 2022
Pages 1-14

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History

  • Receive Date: 30 December 2021
  • Revise Date: 09 March 2022
  • Accept Date: 04 April 2022

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