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A novel extension of cubic sets and its applications in $BCK/BCI$-algebras
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An extension of cubic sets is discussed, and its applications in $BCK/BCI$-algebras are considered. The notion of a cubic intuitionistic set is introduced, and related properties are investigated. Cubic intuitionistic subalgebras/ideals are introduced, and several properties are investigated.
Abstract
An extension of cubic sets is discussed, and its applications in $BCK/BCI$-algebras are considered. The notion of a cubic intuitionistic set is introduced, and related properties are investigated. Cubic intuitionistic subalgebras/ideals are introduced, and several properties are investigated.
참고문헌 (14)
- 안선신, "CUBIC SUBALGEBRAS AND FILTERS OF CI-ALGEBRAS", 호남수학학술지, 36(1), pp.43~54 (2014), 호남수학회
- K. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20, pp.87~96 (1986)
- K. Atanassov, "Interval valued intuitionistic fuzzy sets", Fuzzy Sets and Systems, 31, pp.343~349 (1989)
- M. Akram, "Cubic KU-subalgebras", Int. J. Pure Appl. Math, 89(5), pp.659~665 (2013)
- Y. Huang, "BCI-algebra" (2006), Science Press
- 전영배, "Cubic ideals in semigroups", 호남수학학술지, 35(4), pp.607~623 (2013), 호남수학회
- Y. B. Jun, "Cubic sets", Ann. Fuzzy Math. Infom, 4(1), pp.83~98 (2012)
- Y. B. Jun, "Closed cubic ideals and cubic o-subalgebras in BCK=BCI-algebras", Appl. Math. Sci, 4(68), pp.3395~3402 (2010)
- Y. B. Jun, "Cubic structures applied to ideals of BCI-algebras", Comput. Math. Appl, 62, pp.3334~3342 (2011)
- M. Khan, "The generalized version of Jun's cubic sets in semigroups", J. Intell. Fuzzy Syst, 28, pp.947~960 (2015)
- J. Meng, "BCK-algebras" (1994), Kyungmoon Sa Co
- G. Muhiuddin, "Cubic soft sets with applications in BCK=BCI-algebras", Ann. Fuzzy Math. Inform, 8(2), pp.291~304 (2014)
- T. Senapati, "Cubic subalgebras and cubic closed ideals of B-algebras", Fuzzy Inf. Eng, 7, pp.129~149 (2015)
- N. Yaqoob, "On cubic KU-ideals of KU-algebras", ISRN Algebra (2013)
관련 논문AI추천
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