Title of article :
Length and Mean Fuzzy UP-subalgebras of UP-algebras
Author/Authors :
Tacha ، Narupon Department of Mathematics - School of Science - University of Phayao , Phayapsiang ، Phongsakon Department of Mathematics - School of Science - University of Phayao , Iampan ، Aiyared Department of Mathematics - School of Science - University of Phayao
Abstract :
The aim of this paper is to introduce the notions of the length and the mean of a hyper structure in UP-algebras. The notions of length fuzzy UP-subalgebras and mean fuzzy UP-subalgebras of UP-algebras are introduced, and related properties are investigated. Characterizations of length fuzzy UP-subalgebras and mean fuzzy UP-subalgebras are discussed. Relations between length fuzzy UP-subalgebras (resp., mean fuzzy UP-subalgebras) and hyperfuzzy UP-subalgebras are established. Moreover, we discuss the relationships among length fuzzy UP-subalgebras (resp., mean fuzzy UP-subalgebras) and upper level subsets, lower level subsets, and equal level subsets of the length (resp., mean) of a fuzzy structure in UP-algebras.
Keywords :
UP , algebra , length fuzzy UP , subalgebra , mean fuzzy UP , subalgebra , hyperfuzzy UP , subalgebra
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)
