Length-Fuzzy Subalgebras in BCK/BCI-Algebras
Copyright policy )Length-Fuzzy Subalgebras in BCK/BCI-Algebras
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 B C K / B C I -algebras. The notion of length-fuzzy subalgebras in B C K / B C I -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.
- Gyeongsang National University Korea (Republic of)
- Jeju National University Korea (Republic of)
BCK-algebras, BCI-algebras, length of hyperfuzzy set, hyperfuzzy set, QA1-939, hyperfuzzy subalgebra, length-fuzzy subalgebra, Mathematics
BCK-algebras, BCI-algebras, length of hyperfuzzy set, hyperfuzzy set, QA1-939, hyperfuzzy subalgebra, length-fuzzy subalgebra, Mathematics
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