Length-Fuzzy Subalgebras in BCK / BCI -Algebras

Young Bae Jun, Seok-Zun Song and Seon Jeong Kim
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Young Bae Jun: Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
Seok-Zun Song: Department of Mathematics, Jeju National University, Jeju 63243, Korea
Seon Jeong Kim: Department of Mathematics, Natural Science of College, Gyeongsang National University, Jinju 52828, Korea

Mathematics, 2018, vol. 6, issue 1, 1-12

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 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.

Keywords: hyperfuzzy set; hyperfuzzy subalgebra; length of hyperfuzzy set; length-fuzzy subalgebra (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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