Falling Shadow Theory Applied to UP-Algebras

Young Bae Jun, Kyoung Ja Lee, Aiyared Iampan

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Keywords:

UP-subalgebra, UP-ideal, falling UP-subalgebra, falling UP-ideal

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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Published

2019-02-04

How to Cite

Team, S. (2019). Falling Shadow Theory Applied to UP-Algebras: Young Bae Jun, Kyoung Ja Lee, Aiyared Iampan. Thai Journal of Mathematics, 17(1), 1–9. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/870

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