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L−拓扑空间上的L−超算子

苏淑华 李琪

苏淑华, 李琪. L−拓扑空间上的L−超算子[J]. 上海工程技术大学学报, 2023, 37(1): 83-87. doi: 10.12299/jsues.21-0276
引用本文: 苏淑华, 李琪. L−拓扑空间上的L−超算子[J]. 上海工程技术大学学报, 2023, 37(1): 83-87. doi: 10.12299/jsues.21-0276
SU Shuhua, LI Qi. L−hyperoperators on L−topological spaces[J]. Journal of Shanghai University of Engineering Science, 2023, 37(1): 83-87. doi: 10.12299/jsues.21-0276
Citation: SU Shuhua, LI Qi. L−hyperoperators on L−topological spaces[J]. Journal of Shanghai University of Engineering Science, 2023, 37(1): 83-87. doi: 10.12299/jsues.21-0276

L−拓扑空间上的L−超算子

doi: 10.12299/jsues.21-0276
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

L−hyperoperators on L−topological spaces

  • 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.
  • [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
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出版历程
  • 收稿日期:  2021-12-02
  • 刊出日期:  2023-03-31

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