Falling Shadow Theory Applied to UP-Algebras
Young Bae Jun, Kyoung Ja Lee, Aiyared Iampan
Keywords:
UP-subalgebra, UP-ideal, falling UP-subalgebra, falling UP-idealAbstract
Based on the theory of fuzzy sets and falling shadows, the notion of a falling UP-subalgebra and a falling UP-ideal of a UP-algebra is introduced, and several properties are investigated.Relations between falling UP-subalgebras and falling UP-ideals are given. Relations between fuzzy UP-subalgebras (resp., fuzzy UP-ideals) and falling UP-subalgebras (resp., falling UP-ideals) are established.