Idealistic soft BCK-algebras based on interval valued fuzzy sets

Computer Engineering and Applications ›› 2015, Vol. 51 ›› Issue (22): 66-69.

Previous Articles Next Articles

Idealistic soft BCK-algebras based on interval valued fuzzy sets

LIU Chunhui1，2

1.Dean’s Office, Chifeng University, Chifeng, Nei Mongol, 024001, China
2.Department of Mathematics and Statistics, Chifeng University, Chifeng, Nei Mongol, 024001, China

Online:2015-11-15 Published:2015-11-16

基于区间值模糊集的理想化软BCK代数

刘春辉1，2

1.赤峰学院教务处，内蒙古赤峰 024001
2.赤峰学院数学与统计学院，内蒙古赤峰 024001

Abstract

Abstract: Apply the concept of interval valued fuzzy sets which introduced by Zadeh to idealistic soft BCK-algebras. By means the notions of interval valued fuzzy ideals, interval valued [(∈,∈∨q)]-fuzzy ideals and interval valued [(∈,∈∨q)]-
fuzzy ideals in BCK-algebras, some equivalent characterizations of various special idealistic soft BCK-algebras on a given BCK-algebra are obtained.

Key words: BCK-algebra, interval valued fuzzy set, soft set, idealistic soft BCK-algebra

摘要： 将Zadeh提出的区间值模糊集概念应用于理想化软BCK代数问题的研究。借助于BCK代数的区间值模糊理想、区间值[(∈,∈∨q)]-模糊理想和区间值[(∈,∈∨q)]-模糊理想的概念，获得了一个给定的BCK代数上的几类特殊的理想化软BCK代数的若干等价刻画。

关键词: BCK代数, 区间值模糊集, 软集, 理想化软BCK代数

LIU Chunhui1，2. Idealistic soft BCK-algebras based on interval valued fuzzy sets[J]. Computer Engineering and Applications, 2015, 51(22): 66-69.

刘春辉1，2. 基于区间值模糊集的理想化软BCK代数[J]. 计算机工程与应用, 2015, 51(22): 66-69.

[1]	LIU Yufeng, SUN Wenxin. Generalized Multi-granulation Quantization Soft Rough Set Model [J]. Computer Engineering and Applications, 2021, 57(12): 137-143.
[2]	FAN Jianping, CHENG Rui, WU Meiqin. Distance Measure of Interval-Valued Complex Fuzzy Soft Sets and Its Application [J]. Computer Engineering and Applications, 2020, 56(9): 248-259.
[3]	CAO Jie, ZHANG Lijun, HOU Liang, CHEN Zuohan, ZHANG Hong. Signal Optimization Control Method for Associated Intersection Sub-Area [J]. Computer Engineering and Applications, 2020, 56(7): 273-278.
[4]	ZOU Yan, CHEN Weijie. Decision-Making Model of Time Series Generalized Fuzzy Soft Sets Based on Extended GBM Operator [J]. Computer Engineering and Applications, 2019, 55(7): 53-57.
[5]	HUANG Yu1, LIAO Zuhua2, LI Lun3. Further study on new type of soft weak-BCI-algebras [J]. Computer Engineering and Applications, 2018, 54(23): 31-35.
[6]	DONG Li, KONG Xiangzhi, WU Cong. Soft I-algebra [J]. Computer Engineering and Applications, 2018, 54(22): 57-59.
[7]	HUANG Yu1, LIAO Zuhua2, LI Lun3. New type of soft positive implicative ideals of weak-BCI-algebras [J]. Computer Engineering and Applications, 2018, 54(21): 31-36.
[8]	SONG Huanxin, YUAN Zhiling, KONG Xiangzhi. Soft convolution algebra [J]. Computer Engineering and Applications, 2017, 53(5): 36-38.
[9]	WANG Jinying, WANG Yanping. Time-series hesitant fuzzy soft sets and its applications in decision making [J]. Computer Engineering and Applications, 2017, 53(24): 35-39.
[10]	HUANG He, WANG Yanping. Similarity measures of generalized hesitant fuzzy soft sets and its application [J]. Computer Engineering and Applications, 2017, 53(21): 37-41.
[11]	GAO Xiaoliang, WANG Haolun, GAN Weihua. Group decision model for green supplier selection based on trapezoidal fuzzy soft sets [J]. Computer Engineering and Applications, 2017, 53(1): 265-270.
[12]	JI Yanfei, LI Shenggang. Dual soft sets and dual soft subinclines [J]. Computer Engineering and Applications, 2016, 52(3): 66-69.
[13]	YANG Yong, LIU Tingting. Approach of fuzzy soft set decision making based on soft discernibility matrix and its application [J]. Computer Engineering and Applications, 2016, 52(24): 91-94.
[14]	LIU Yanjun1, ZHANG Xiaoxia2, WU Hongping3. Multi-granulation fuzzy soft rough set model [J]. Computer Engineering and Applications, 2016, 52(21): 49-56.
[15]	LIAO Zuhua1，3，4, WANG Nini2，3，4, ZHENG Gaoping1，3，4, ZHANG Licheng1，3，4. Soft filters of lattice implication algebra [J]. Computer Engineering and Applications, 2015, 51(9): 72-76.

Idealistic soft BCK-algebras based on interval valued fuzzy sets

基于区间值模糊集的理想化软BCK代数

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics