Interval-Valued m -Polar Fuzzy Positive Implicative Ideals in B C K -Algebras

In this paper, the notion of interval-valued m-polar fuzzy positive implicative ideals in BCK-algebras is presented. 'en, the relationships between interval-valued m-polar fuzzy positive implicative ideals and interval-valued m-polar fuzzy ideals are investigated. After that, the concepts of interval-valued m-polar (∈, ∈ ∨q􏽥κ)-fuzzy positive implicative ideals and interval-valued m-polar (∈, ∈ ∨q􏽥κ)-fuzzy ideals are defined and some equivalent conditions are provided. Furthermore, we show that intervalvalued m-polar (∈, ∈ ∨q􏽥κ)-fuzzy positive implicative ideals are interval-valued m-polar (∈, ∈ ∨q􏽥κ)-fuzzy ideals, but the converse need not be true in general and an example is given in this aim.

[1]  G. Muhiuddin,et al.  Generalized Fuzzy Ideals of BCI-Algebras Based on Interval Valued m-Polar Fuzzy Structures , 2021, International Journal of Computational Intelligence Systems.

[2]  Young Bae Jun,et al.  Multipolar fuzzy a-ideals in BCI-algebras , 2021, International Journal of Machine Learning and Cybernetics.

[3]  G. Muhiuddin,et al.  Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras , 2021, Journal of Mathematics.

[4]  G. Muhiuddin,et al.  p-ideals of BCI-algebras based on neutrosophic N-structures , 2021, J. Intell. Fuzzy Syst..

[5]  Y. Jun,et al.  m-polar fuzzy q-ideals in BCI-algebras , 2020 .

[6]  G. Muhiuddin,et al.  New types of bipolar fuzzy ideals of BCK-algebras , 2020 .

[7]  Young Bae Jun,et al.  Bipolar-valued fuzzy soft hyper BCK ideals in hyper BCK algebras , 2020, Discret. Math. Algorithms Appl..

[8]  Anas Al-Masarwah DOUBT N -IDEAL THEORY IN BCK-ALGEBRAS BASED ON N -STRUCTURES , 2020 .

[9]  D. Al-Kadi BIPOLAR FUZZY BCI-IMPLICATIVE IDEALS OF BCI-ALGEBRAS , 2020 .

[10]  Young Bae Jun,et al.  Multipolar Fuzzy p-Ideals of BCI-Algebras , 2019, Mathematics.

[11]  Anas Al-Masarwah,et al.  m-Polar ( α , β ) -Fuzzy Ideals in BCK/BCI-Algebras , 2019, Symmetry.

[12]  N. Gunasekaran,et al.  FINITE-TIME PASSIVITY OF DISCRETE-TIME T-S FUZZY NEURAL NETWORKS WITH TIME-VARYING DELAYS , 2018 .

[13]  G. Muhiuddin,et al.  Filter theory in MTL-algebras based on Uni-soft property , 2017 .

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

[15]  N. Gunasekaran,et al.  State estimation of T-S fuzzy delayed neural networks with Markovian jumping parameters using sampled-data control , 2017, Fuzzy Sets Syst..

[16]  M. Akram,et al.  On \(m\)-polar fuzzy groups , 2016 .

[17]  M. Akram,et al.  m-polar fuzzy Lie ideals of Lie algebras , 2016 .

[18]  Adeel Farooq ON m-POLAR FUZZY LIE SUBALGEBRAS , 2016 .

[19]  Shenggang Li,et al.  m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets , 2014, TheScientificWorldJournal.

[20]  G. Muhiuddin Bipolar fuzzy KU -subalgebras/ideals of KU -algebras , 2014 .

[21]  Abdullah M. Al-roqi,et al.  Cubic soft sets with applications in BCK/BCI-algebras , 2014 .

[22]  Naveed Yaqoob,et al.  Interval Valued Intuitionistic Fuzzy Ideals of Regular LA-Semigroups , 2013 .

[23]  Jianming Zhan,et al.  On (⋶, ⋶ ∨ q)-fuzzy ideals of BCI-algebras , 2011, Neural Comput. Appl..

[24]  Samy M. Mostafa,et al.  Interval-Valued Fuzzy KU-Ideals in KU-Algebras , 2011 .

[25]  Y. Jun,et al.  SOME TYPES OF (∈,∈∨ q)-INTERVAL-VALUED FUZZY IDEALS OF BCI ALGEBRAS , 2009 .

[26]  C. Park,et al.  Interval Valued ( ∈ , ∈ ∨ q )-Fuzzy Ideal in Rings , 2008 .

[27]  Jie Meng,et al.  On fuzzy ideals in BCK/BCI-algebras , 2005, Fuzzy Sets Syst..

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