Cubic Interval-Valued Intuitionistic Fuzzy Sets and Their Application 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: 28 December 2017 / Revised: 12 January 2018 / Accepted: 15 January 2018 / Published: 23 January 2018
As a new extension of a cubic set, the notion of a cubic interval-valued intuitionistic fuzzy set is introduced, and its application in
-algebra is considered. The notions of
-external cubic IVIF set are introduced, and the P-union, P-intersection, R-union and R-intersection of
-external cubic IVIF sets are discussed. The concepts of cubic IVIF subalgebra and ideal in
-algebra are introduced, and related properties are investigated. Relations between cubic IVIF subalgebra and cubic IVIF ideal are considered, and characterizations of cubic IVIF subalgebra and cubic IVIF ideal are discussed.
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MDPI and ACS Style
Jun, Y.B.; Song, S.-Z.; Kim, S.J. Cubic Interval-Valued Intuitionistic Fuzzy Sets and Their Application in BCK/BCI-Algebras. Axioms 2018, 7, 7.
Jun YB, Song S-Z, Kim SJ. Cubic Interval-Valued Intuitionistic Fuzzy Sets and Their Application in BCK/BCI-Algebras. Axioms. 2018; 7(1):7.
Jun, Young B.; Song, Seok-Zun; Kim, Seon J. 2018. "Cubic Interval-Valued Intuitionistic Fuzzy Sets and Their Application in BCK/BCI-Algebras." Axioms 7, no. 1: 7.
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