Length-Fuzzy Subalgebras in BCK/BCI-Algebras
Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
Department of Mathematics, Jeju National University, Jeju 63243, Korea
Department of Mathematics, Natural Science of College, Gyeongsang National University, Jinju 52828, Korea
Author to whom correspondence should be addressed.
Received: 1 December 2017 / Revised: 3 January 2018 / Accepted: 5 January 2018 / Published: 12 January 2018
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
-algebras. The notion of length-fuzzy subalgebras in
-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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MDPI and ACS Style
Jun, Y.B.; Song, S.-Z.; Kim, S.J. Length-Fuzzy Subalgebras in BCK/BCI-Algebras. Mathematics 2018, 6, 11.
Jun YB, Song S-Z, Kim SJ. Length-Fuzzy Subalgebras in BCK/BCI-Algebras. Mathematics. 2018; 6(1):11.
Jun, Young B.; Song, Seok-Zun; Kim, Seon J. 2018. "Length-Fuzzy Subalgebras in BCK/BCI-Algebras." Mathematics 6, no. 1: 11.
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