Bipolar fuzzy soft subalgebras and ideals of BCK/BCI-algebras based on bipolar fuzzy points

被引：23
作者：
Jana, Chiranjibe [1 ]
Senapati, Tapan [2 ]
Shum, K. P. [3 ]
Pal, Madhumangal [1 ]
机构：
[1] Vidyasagar Univ, Dept Appl Math Oceanol & Comp Programming, Midnapore, India
[2] Padima Janakalyan Banipith, Dept Math, Kukurakhupi, India
[3] Yunnan Univ, Inst Math, Kunming, Yunnan, Peoples R China
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2019年 / 37卷 / 02期
关键词：
Bipolar BCK/BCI-algebra; soft set; is an element of-bipolar fuzzy soft set; q-bipolar fuzzy soft set; (is an element of; is an element of boolean OR q)-bipolar fuzzy soft subalgebra/ideal; IMPLICATIVE IDEALS; SETS; ELEMENT; (IS-AN-ELEMENT-OF; LOGIC;
D O I：
10.3233/JIFS-18877
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, the concept of quasi-coincidence of a bipolar fuzzy point within a bipolar fuzzy set is introduced. The notion of is an element of-bipolar fuzzy soft set and q-bipolar fuzzy soft set is introduced based on a bipolar fuzzy set and characterizations for an is an element of-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 (is an element of, is an element of boolean OR q)-bipolar fuzzy subalgebras and ideals are introduced and characterizes for an is an element of-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 (is an element of, is an element of boolean OR q)-bipolar fuzzy soft subalgebras and ideals are derived. The relationship among these (is an element of, is an element of boolean OR q)-bipolar fuzzy soft subalgebras and ideals are also considered.
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页码：2785 / 2795
页数：11
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