Length-Fuzzy Subalgebras in BCK/BCI-Algebrasopen access
- Authors
- Jun, Young Bae; Song, Seok-Zun; Kim, 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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