Title of article :
(3,2)-FUZZY UP (BCC)-SUBALGEBRAS and (3.2)-FUZZY UP (BCC)-FILTERS
Author/Authors :
Bae Jun, Young Department of Mathematics Education - Gyeongsang National University - Jinju, Korea , Brundha, B. Department of Mathematics - Government Arts College for Women - Tamilnadu, India , Rajesh, N. Department of Mathematics - Rajah Serfoji Government College (affliated to Bharathdasan University) - Tamilnadu, India , Bandaru, Ravikumar Department of Mathematics - GITAM (Deemed to be University) - Hyderabad, India
Abstract :
Abstract. The aim of this article is to apply a (3; 2)-fuzzy set to the UP (BCC)-subalgebras and UP (BCC)-lters of UP (BCC)-algebras. The concepts of (3; 2)-fuzzy UP (BCC)-subalgebra, (3; 2)-fuzzy near UP (BCC)- lter and (3; 2)-fuzzy UP (BCC)-lter in UP (BCC)-algebras are intro- duced and several properties, including their relations, are investigated.The conditions under which the (3; 2)-fuzzy UP (BCC)-subalgebra (resp., (3; 2)-fuzzy near UP (BCC)-lter) can be the (3; 2)-fuzzy near UP (BCC)- lter (resp., (3; 2)-fuzzy UP (BCC)-lter) are searched. Some character- izations of (3; 2)-fuzzy UP (BCC)-lter is provided and the relationship between intuitionistic fuzzy UP-subalgebra and (3; 2)-fuzzy UP (BCC)- subalgebra is discussed. We use fuzzy UP-subalgebra (resp., fuzzy near UP-lter, fuzzy UP-lter) to create a (3; 2)-fuzzy UP (BCC)-subalgebra (resp., (3; 2)-fuzzy near UP (BCC)-lter, (3; 2)-fuzzy UP (BCC)-lter).
Keywords :
(3; 2)-fuzzy UP (BCC)-subalgebra , intuitionistic fuzzy UP-subalgebra , 2020 MSC: Primary 03G25 , 06F35 , 08A72
Journal title :
Journal of Mahani Mathematical Research Center
