<i>L</i>−拓扑空间上的<i>L</i>−超算子

苏淑华; 李琪

doi:10.12299/jsues.21-0276

L−拓扑空间上的L−超算子

doi: 10.12299/jsues.21-0276

苏淑华^1,,
李琪²

1.
上海工程技术大学数理与统计学院, 上海 201620
2.
东华理工大学抚州师范学院, 抚州 344000

基金项目: 国家自然科学基金项目资助（11861006）

详细信息

作者简介:
苏淑华（1975−），女，教授，博士，研究方向为格上拓扑及其应用. E-mail：21190005@sues.edu.cn

中图分类号: O159
计量
- 文章访问数: 303
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- 被引次数: 0
出版历程
- 收稿日期: 2021-12-02
- 刊出日期: 2023-03-31

L−hyperoperators on L−topological spaces

SU Shuhua^1
,,
LI Qi²

1.
School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China
2.
Fuzhou Teachers’ College, East China University of Technology, Fuzhou 344000, China

摘要

摘要: 基于L−拓扑空间和L−超群胚，定义L−超运算的(强) L−伪连续性，并由此构造L−拓扑L−超群胚. 结果表明，经典的拓扑超群胚是L−拓扑L−超群胚的特例.
- L−超算子 /
- L−超群胚 /
- (强) L−伪连续性 /
- L−拓扑空间
Abstract: Based on L−topological spaces and L−hypergroupoids, the (strong) L−pseudocontinuity of L−hyperoperator was defined, and the L−topological L−hypergroupoids were constructed. The result shows that the classical topological hyergroupoids are special cases of L−topological L−hypergroupoids.
- L−hyperoperator /
- L−hypergroupoid /
- (strong) L−pseudocontinuity /
- L−topological space

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参考文献(20)

[1]	ROSENFELD A. Fuzzy groups[J] . Journal of Mathematical Analysis and Applications,1971,35(3):512 − 517. doi: 10.1016/0022-247X(71)90199-5
[2]	MORDESON J N, MALIK M S. Fuzzy commutative algebra[M]. Singapore: World Scientific, 1998.
[3]	CORSINI P, TOFAN I. On fuzzy hypergroups[J] . Pure Mathematics and Applications,1997,8(1):29 − 37.
[4]	KEHAGIAS A. L−fuzzy join and meet hyperoperations and the associated L−fuzzy hyperalgebras[J] . Rendiconti del Circolo Matematico di Palermo,2002,51:503 − 526. doi: 10.1007/BF02871858
[5]	SERAFIMIDIS K, KEHAGIAS A, KONSTANTINIDOU M. The L-fuzzy Corsini join hyperoperation[J] . Italian Journal of Pure and Applied Mathematics,2002,12:83 − 90.
[6]	SEN M K, AMERI R, CHOWDHURY G. Fuzzy hypersemigroups[J] . Soft Computing,2008,12(9):891 − 900. doi: 10.1007/s00500-007-0257-9
[7]	CHOWDHURY G. Fuzzy transposition hypergroups[J] . Iranian Journal of Fuzzy Systems,2009,6(3):37 − 52.
[8]	LEOREANU-FOTEA V, DAVVAZ B. Fuzzy hyperrings[J] . Fuzzy Sets and Systems,2008,160(16):2366 − 2378.
[9]	LEOREANU-FOTEA V. Fuzzy hypermodules[J] . Computers & Mathematics with Applications,2009,57(3):466 − 475. doi: 10.1016/j.camwa.2008.11.004
[10]	CHANG C L. Fuzzy topological spaces[J] . Journal of Mathematical Analysis and Applications,1968,24(1):182 − 190. doi: 10.1016/0022-247X(68)90057-7
[11]	FOSTER D H. Fuzzy topological groups[J] . Journal of Mathematical Analysis and Applications,1979,67(2):549 − 564. doi: 10.1016/0022-247X(79)90043-X
[12]	MA J L, YU C H. Fuzzy topological groups[J] . Fuzzy Sets and Systems,1984,12(3):289 − 299. doi: 10.1016/0165-0114(84)90075-7
[13]	AMERI R. Topological (transposition) hypergroups[J] . Italian Journal of Pure and Applied Mathematics,2003,13:171 − 176.
[14]	CRISTEA I, HOSKOVA S. Fuzzy pseudotopological hypergroupoids[J] . Iranian Journal of Fuzzy Systems,2009,6(4):611 − 19.
[15]	HOŠKOVÁ-MAYEROVÁ Š. Topological hypergroupoids[J] . Computers & Mathematics with Applications,2012,64(9):2845 − 2849. doi: 10.1016/j.camwa.2012.04.017
[16]	ZHAO H, LI S G, CHEN G X. (L, M)−fuzzy topological groups[J] . Journal of Intelligent & Fuzzy Systems,2014,26(3):1517 − 1526.
[17]	HOŠKOVÁ-MAYEROVÁ Š. An overview of topological and fuzzy topological hypergroupoids[J] . Ratio Mathematica,2017,33:21 − 38.
[18]	LIU Y M, LUO M K. Fuzzy topology advances in fuzzy systems-applications and theory [M]. Singapore: World Scientific, 1997.
[19]	LOWEN R. Fuzzy topological spaces and fuzzy compactness[J] . Journal of Mathematical Analysis and Applications,1976,56(3):621 − 633. doi: 10.1016/0022-247X(76)90029-9
[20]	HEIDARIL D, DAVVAZL B, MODARRES S M S. Topological polygroups[J] . Bulletin of the Malaysian Mathematical Sciences Society,2016,39(2):707 − 721. doi: 10.1007/s40840-015-0136-y