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Length-Fuzzy Subalgebras in BCK/BCI-Algebrasopen access

Authors
Jun, Young BaeSong, Seok-ZunKim, Seon Jeong
Issue Date
Jan-2018
Publisher
MDPI
Keywords
hyperfuzzy set; hyperfuzzy subalgebra; length of hyperfuzzy set; length-fuzzy subalgebra
Citation
MATHEMATICS, v.6, no.1
Indexed
SCIE
SCOPUS
ESCI
Journal Title
MATHEMATICS
Volume
6
Number
1
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/12018
DOI
10.3390/math6010011
ISSN
2227-7390
Abstract
As a generalization of interval-valued fuzzy sets and fuzzy sets, the concept of hyperfuzzy sets was introduced by Ghosh and Samanta in the paper [J. Ghosh and T.K. Samanta, Hyperfuzzy sets and hyperfuzzy group, Int. J. Advanced Sci Tech. 41 (2012), 27-37]. The aim of this manuscript is to introduce the length-fuzzy set and apply it to BCK/BCI-algebras. The notion of length-fuzzy subalgebras in BCK/BCI-algebras is introduced, and related properties are investigated. Characterizations of a length-fuzzy subalgebra are discussed. Relations between length-fuzzy subalgebras and hyperfuzzy subalgebras are established.
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