@article { author = {Jun, Young Bae and Brundha, B. and Rajesh, N. and Bandaru, Ravikumar}, title = {$(3,2)$-fuzzy UP-subalgebras and $(3,2)$-fuzzy UP-filters}, journal = {Journal of Mahani Mathematical Research}, volume = {11}, number = {3}, pages = {1-14}, year = {2022}, publisher = {Shahid Bahonar University of Kerman}, issn = {2251-7952}, eissn = {2645-4505}, doi = {10.22103/jmmrc.2022.18786.1191}, 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 = {fuzzy UP-subalgebra,fuzzy near UP-filter,fuzzy UP-filter,intuitionistic fuzzy UP-subalgebra}, url = {https://jmmrc.uk.ac.ir/article_3257.html}, eprint = {https://jmmrc.uk.ac.ir/article_3257_b8472e384739a29fb94249587e19d4c3.pdf} }