Affiliations: [a]
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India
| [b]
Department of Mathematics, Padima Janakalyan Banipith, Kukurakhupi, India
| [c]
Institute of Mathematics, Yunnan University, Kunming, People’s Republic of China
Correspondence:
[*]
Corresponding author. K.P. Shum, Institute of Mathematics, Yunnan University, Kunming, People’s Republic of China. E-mail: kpshum@ynu.edu.cn
Abstract: In this paper, the concept of quasi-coincidence of a bipolar fuzzy point within a bipolar fuzzy set is introduced. The notion of ∈-bipolar fuzzy soft set and q-bipolar fuzzy soft set is introduced based on a bipolar fuzzy set and characterizations for an ∈-bipolar fuzzy soft set and a q-bipolar fuzzy soft set to be bipolar fuzzy soft BCK/BCI-algebras are given. Also, the notion of (∈ , ∈ ∨ q)-bipolar fuzzy subalgebras and ideals are introduced and characterizes for an ∈-bipolar fuzzy soft set and q-bipolar fuzzy soft set to be a bipolar fuzzy soft BCK/BCI-algebras are established. Some characterization theorems of these (∈ , ∈ ∨ q)-bipolar fuzzy soft subalgebras and ideals are derived. The relationship among these (∈ , ∈ ∨ q)-bipolar fuzzy soft subalgebras and ideals are also considered.
