CLOSURE FILTERS AND PRIME FUZZY CLOSURE FILTERS OF MS-ALGEBRAS

被引：0
作者：
Noorbhasha, Rafi [1 ]
Bandaru, Ravikumar [2 ]
Shum, Kar Ping [3 ]
机构：
[1] Bapatla Engn Coll, Dept Math, Bapatla 522101, Andhra Pradesh, India
[2] GITAM Deemed Be Univ, Dept Math, Hyderabad Campus, Rudraram 502329, Telangana, India
[3] Southwest Univ, Sch Math & Stat, Chongqing, Beibai, Peoples R China
来源：
KOREAN JOURNAL OF MATHEMATICS | 2020年 / 28卷 / 03期
关键词：
MS-algebras; boosters; fuzzy closure filter; maximal fuzzy closure filter; prime fuzzy closure filter; IDEALS;
D O I：
10.11568/kjm.2020.28.3.509
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of fuzzy closure filters is introduced and discussed in an MS-algebra. In particular, we characterize the prime fuzzy closure filters in terms of boosters. Some relationship between the lattice of fuzzy closure filters and the fuzzy ideal lattice of boosters are explored and investigated.
引用
收藏
页码：509 / 524
页数：16
相关论文
共 50 条
[41]   Ideals and Filters in Pseudo-Effect Algebras [J].
Zhihao Ma ;
Junde Wu ;
Shijie Lu .
International Journal of Theoretical Physics, 2004, 43 :1445-1451
[42]   Generalized Fuzzy Filters in Quantales and Their Approximations [J].
Qurashi, Saqib Mazher ;
Shabir, Muhammad .
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2022, 54 (04) :253-273
[43]   FUZZY PRIME SPECTRUM OF C-ALGEBRAS [J].
Addis, Gezahagne Mulat .
KOREAN JOURNAL OF MATHEMATICS, 2020, 28 (01) :49-64
[44]   PIMP-Filters of R0-Algebras [J].
Liu, Yong-lin ;
Ren, Mei-ying ;
Ye, Qiu-sun .
QUANTITATIVE LOGIC AND SOFT COMPUTING 2010, VOL 2, 2010, 82 :297-302
[45]   Filters and ideals in the generalization of pseudo-BL algebras [J].
Wenjuan Chen ;
Hongkai Wang .
Soft Computing, 2020, 24 :795-812
[46]   Pseudo subalgebras and pseudo filters in pseudo BE-algebras [J].
Ahn, Sun Shin ;
Seo, Young Joo ;
Jun, Young Bae .
AIMS MATHEMATICS, 2023, 8 (02) :4964-4972
[47]   Filters and ideals in the generalization of pseudo-BL algebras [J].
Chen, Wenjuan ;
Wang, Hongkai .
SOFT COMPUTING, 2020, 24 (02) :795-812
[48]   Fuzzy Positive Implicative Filters of Hoops Based on Fuzzy Points [J].
Borzooei, Rajab Ali ;
Kologani, Mona Aaly ;
Kish, Mandi Sabet ;
Jun, Young Bae .
MATHEMATICS, 2019, 7 (06)
[49]   ß-FUZZY FILTERS OF STONE ALMOST DISTRIBUTIVE LATTICES [J].
Alemayehu, Teferi Getachew ;
Gubena, Yeshiws Mebrat .
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2022, 40 (3-4) :445-460
[50]   The hull-kernel topology on prime filters in residuated lattices [J].
Rasouli, Saeed ;
Dehghani, Amin .
SOFT COMPUTING, 2021, 25 (16) :10519-10541
12345