Neutrosophic Cubic Subalgebras and Neutrosophic Cubic Closed Ideals of B-algebras

The objective of this paper is to introduced the concept of neutrosophic cubic set to subalgebras, ideals and closed ideals of B-algebra. Links among neutrosophic cubic subalgebra with neutrosophic cubic ideals and neutrosophic closed ideals of B-algebras as well as some related properties will be investigated.

[1]  R. Biswas Rosenfeld's fuzzy subgroups with interval-valued membership functions , 1994 .

[2]  A. Saeid INTERVAL-VALUED FUZZY B-ALGEBRAS , 2006 .

[3]  A. Saeid Fuzzy Topological B-algebras , 2006 .

[4]  F. Smarandache A Unifying Field in Logics: Neutrosophic Logic. , 1999 .

[5]  FUZZY DOT SUBALGEBRAS AND FUZZY DOT IDEALS OF B-ALGEBRAS , 2017 .

[6]  Andrzej Walendziak,et al.  SOME AXIOMATIZATIONS OF B-ALGEBRAS , 2006 .

[7]  Fuzzy Closed Ideals of B-Algebras , 2011 .

[8]  Madhumangal Pal,et al.  Cubic Subalgebras and Cubic Closed Ideals of B-algebras , 2015 .

[9]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[10]  Florentin Smarandache,et al.  Neutrosophic set - a generalization of the intuitionistic fuzzy set , 2004, 2006 IEEE International Conference on Granular Computing.

[11]  Young Bae Jun,et al.  Neutrosophic Cubic Sets , 2016, New Math. Nat. Comput..

[12]  M. Pal,et al.  Intuitionistic fuzzifications of ideals in BG-algebras , 2012 .

[13]  ON FUZZY SUBALGEBRAS IN B-ALGEBRAS , 2003 .

[14]  T. Senapati Bipolar Fuzzy Structure of BG -subalgebras , 2015 .

[15]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[16]  Joseph Neggers,et al.  On B-algebras , 2002 .

[17]  M. Pal,et al.  Intuitionistic $$L$$-fuzzy ideals of $$BG$$-algebras , 2014 .

[18]  K. Iseki An Algebra Related with a Propositional Calculus , 1966 .

[19]  M. Pal,et al.  Interval-valued Intuitionistic Fuzzy BG -subalgebras , 2012 .

[20]  K. Iseki,et al.  ON AXIOM SYSTEMS OF PROPOSITIONAL CALCULI XIV , 1966 .

[21]  On B-algebras and quasigroups , 2001 .

[22]  M. Pal,et al.  INTERVAL -VALUED INTUITIONISTIC FUZZY CLOSED IDEALS OF BG-ALGEBRA AND THEIR PRODUCTS , 2012 .

[23]  J. Neggers,et al.  A fundamental theorem of B-homomorphism for B-algebras , 2002 .

[24]  On BG-algebras , 2008 .

[25]  M. Pal,et al.  Fuzzy B-subalgebras of B-algebra with Respect to t-norm , 2012 .