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Falling Shadow Theory Applied to UP-Algebras

Authors
Jun, Young BaeLee, Kyoung JaIampan, Aiyared
Issue Date
Apr-2019
Publisher
CHIANG MAI UNIV, FAC SCIENCE
Keywords
UP-subalgebra; UP-ideal; falling UP-subalgebra; falling UP-ideal
Citation
THAI JOURNAL OF MATHEMATICS, v.17, no.1, pp 1 - 9
Pages
9
Indexed
SCOPUS
ESCI
Journal Title
THAI JOURNAL OF MATHEMATICS
Volume
17
Number
1
Start Page
1
End Page
9
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/73147
ISSN
1686-0209
Abstract
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.
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