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Hesitant fuzzy translations and extensions of subalgebras and ideals in BCK/BCI-algebras

Title
Hesitant fuzzy translations and extensions of subalgebras and ideals in BCK/BCI-algebras
Author
김희식
Keywords
Hesitant fuzzy subalgebra; hesitant fuzzy ideal; hesitant fuzzy translation; hesitant fuzzy extension; support
Issue Date
2017-01
Publisher
IOS PRESS
Citation
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, v. 32, no. 1, page. 43-48
Abstract
The notions of hesitant fuzzy translations and hesitant fuzzy extensions of a hesitant fuzzy set on BCK/BCIalgebras are introduced, and related properties are investigated. We prove that every hesitant fuzzy translation of a hesitant fuzzy subalgebra (ideal) is a hesitant fuzzy subalgebra (ideal). Conditions for a hesitant fuzzy set to be a hesitant fuzzy subalgebra (ideal) are provided. We show that if a hesitant fuzzy set is a hesitant fuzzy subalgebra (ideal), then its support is a subalgebra (ideal), and also prove that if the support of a hesitant fuzzy set is a subalgebra (ideal), then its hesitant fuzzy translation is a hesitant fuzzy subalgebra (ideal).
URI
https://content.iospress.com/articles/journal-of-intelligent-and-fuzzy-systems/ifs151031https://repository.hanyang.ac.kr/handle/20.500.11754/105792
ISSN
1064-1246; 1875-8967
DOI
10.3233/JIFS-151031
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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