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International Journal of General Systems Volume 46, 2017 - Issue 4
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Original Articles

The axiomatic characterizations on L-fuzzy covering-based approximation operators

Ling Qiang LiDepartment of Mathematics, Liaocheng University, Liaocheng, P.R. China.View further author information
,
Qiu JinDepartment of Mathematics, Liaocheng University, Liaocheng, P.R. China.Correspondence[email protected]
View further author information
,
Kai HuDepartment of Mathematics, Liaocheng University, Liaocheng, P.R. China.View further author information
&
Fang Fang ZhaoDepartment of Mathematics, Liaocheng University, Liaocheng, P.R. China.View further author information
Pages 332-353 | Received 31 Jan 2016, Accepted 24 Feb 2017, Published online: 10 Apr 2017

Citations (43)

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Qiu Jin & Lingqiang Li. (2023) The axiomatic characterization on fuzzy variable precision rough sets based on residuated lattice. International Journal of General Systems 52:7, pages 820-841.
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Kamal El-Saady, Hussein S. Hussein & Ayat A. Temraz. (2022) A rough set model based on (L, M)-fuzzy generalized neighborhood systems: a constructive approach. International Journal of General Systems 51:5, pages 441-473.
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Xiaowei Wei, Bin Pang & Ju-Sheng Mi. (2022) Axiomatic characterizations of L-fuzzy rough sets by L-fuzzy unions and L-fuzzy intersections. International Journal of General Systems 51:3, pages 277-312.
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FangFang Zhao & Fu-Gui Shi. (2021) L-fuzzy generalized neighborhood system operator-based L-fuzzy approximation operators. International Journal of General Systems 50:4, pages 458-484.
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Qiu Jin & Lingqiang Li. (2018) Stratified lattice-valued neighborhood tower group. Quaestiones Mathematicae 41:6, pages 847-861.
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Fangfang Zhao, Qiu Jin & Lingqiang Li. (2018) The axiomatic characterizations on L-generalized fuzzy neighborhood system-based approximation operators. International Journal of General Systems 47:2, pages 155-173.
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Articles from other publishers (37)

Kamal El-Saady, Amal Rashed & Ayat A. Temraz. (2024) L-valued covering-based rough sets and corresponding decision-making applications. International Journal of Approximate Reasoning 168, pages 109151.
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Kamal El-Saady & Ayat A. Temraz. (2023) Quantale-valued quasi-neighborhood systems: fundamentals and application to L-quasi-topologies, L-quasi-uniformities, and rough approximation operators. Soft Computing 28:1, pages 177-189.
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Yao-Liang Xu, Dan-Dan Zou, Ling-Qiang Li & Bing-Xue Yao. (2023) L-fuzzy covering rough sets based on complete co-residuated lattice. International Journal of Machine Learning and Cybernetics 14:8, pages 2815-2829.
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Dan-Dan Zou, Yao-Liang Xu, Ling-Qiang Li & Wei-Zhi Wu. (2023) A novel granular variable precision fuzzy rough set model and its application in fuzzy decision system. Soft Computing 27:13, pages 8897-8918.
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Wei Li, Bin Yang & Junsheng Qiao. (2023) On three types of L-fuzzy β-covering-based rough sets. Fuzzy Sets and Systems 461, pages 108492.
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Lu Gao, Bing-Xue Yao & Ling-Qiang Li. (2023) L-fuzzy generalized neighborhood system-based pessimistic L-fuzzy rough sets and its applications. Soft Computing 27:12, pages 7773-7788.
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Lu Gao, Bingxue Yao & Lingqiang Li. (2023) Two new fuzzy covering-based rough approximation operators via inclusion degree. Journal of Intelligent & Fuzzy Systems 44:4, pages 6047-6063.
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Kamal El-Saady & Ayat TemrazA.A.. (2023) An L-fuzzy rough set model based on L-double fuzzy generalized neighborhood systems. Filomat 37:14, pages 4809-4832.
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Yaoliang Xu, Dandan Zou & Lingqiang Li. (2022) The Single Axiomatization on CCRL-Fuzzy Rough Approximation Operators and Related Fuzzy Topology. Axioms 12:1, pages 37.
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Lingqiang Li & Qiu Jin. (2022) A category of complete residuated lattice-value neighborhood groups. Fuzzy Sets and Systems 442, pages 53-75.
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Wei Li & Bin Yang. 2022. Rough Sets. Rough Sets 143 157 .
Xiaowei Wei, Bin Pang & Ju-Sheng Mi. (2021) Axiomatic characterizations of -valued rough sets using a single axiom . Information Sciences 580, pages 283-310.
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Haibo Jiang, Jianming Zhan & Degang Chen. (2021) Covering-based variable precision L-fuzzy rough sets based on residuated lattices and corresponding applications. International Journal of Machine Learning and Cybernetics 12:8, pages 2407-2429.
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Qiu Jin, Kai Hu, Chunxin Bo & Lingqiang Li. (2021) A New Single-Valued Neutrosophic Rough Sets and Related Topology. Journal of Mathematics 2021, pages 1-14.
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Qiu Jin & Lingqiang Li. (2021) L-Fuzzy Rough Approximation Operators Based on Co-Implication and Their (Single) Axiomatic Characterizations. Axioms 10:3, pages 134.
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Lingqiang Li, Bingxue Yao, Jianming Zhan & Qiu Jin. (2021) L-fuzzifying approximation operators derived from general L-fuzzifying neighborhood systems. International Journal of Machine Learning and Cybernetics 12:5, pages 1343-1367.
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Qiao-Ling Song, Hu Zhao, Juan-Juan Zhang, A. A. Ramadan, Hong-Ying Zhang & Gui-Xiu Chen. (2021) The Lattice Structures of Approximation Operators Based on L-Fuzzy Generalized Neighborhood Systems. Complexity 2021, pages 1-10.
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Lingqiang Li, Qiu Jin, Bingxue Yao & Jiachao Wu. (2020) A rough set model based on fuzzifying neighborhood systems. Soft Computing 24:8, pages 6085-6099.
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Songtao Shao & Xiaohong Zhang. (2020) Generalized Shapley probability neutrosophic hesitant fuzzy Choquet aggregation operators and their applications. Journal of Intelligent & Fuzzy Systems 38:3, pages 3343-3357.
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Chun Yong Wang, Xinguang Zhang & Yonghong Wu. (2020) New results on single axioms for L-fuzzy rough approximation operators. Fuzzy Sets and Systems 380, pages 131-149.
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Shoubin Sun, Lingqiang Li, Kai Hu & A. A. Ramadan. (2020) <i>L</i>-fuzzy upper approximation operators associated with <i>L</i>-generalized fuzzy remote neighborhood systems of <i>L</i>-fuzzy points. AIMS Mathematics 5:6, pages 5638-5652.
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Jianming Zhan & Bingzhen Sun. (2018) Covering-based intuitionistic fuzzy rough sets and applications in multi-attribute decision-making. Artificial Intelligence Review 53:1, pages 671-701.
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Lingqiang Li, Qiu Jin & Kai Hu. (2019) Lattice-valued convergence associated with CNS spaces. Fuzzy Sets and Systems 370, pages 91-98.
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Shoubin Sun, Lingqiang Li & Kai Hu. (2019) A New Approach to Rough Set Based on Remote Neighborhood Systems. Mathematical Problems in Engineering 2019, pages 1-8.
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Chengyu Liang, Fanghui Li & Jie Zhang. (2019) Separation axioms in (L, M)-fuzzy convex spaces. Journal of Intelligent & Fuzzy Systems 36:4, pages 3649-3660.
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Hongping Liu, Shuang Wang & WenPing Fan. (2019) Convexity on fuzzy partially ordered sets. Journal of Intelligent & Fuzzy Systems 36:4, pages 3607-3617.
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Lihe Guan. (2019) A heuristic algorithm of attribute reduction in incomplete ordered decision systems. Journal of Intelligent & Fuzzy Systems 36:4, pages 3891-3901.
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Lingqiang Li. (2019) p-Topologicalness—A Relative Topologicalness in ⊤-Convergence Spaces. Mathematics 7:3, pages 228.
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Zhen-Yu Xiu & Qing-Guo Li. (2019) Relations among (L, M)-fuzzy convex structures, (L, M)-fuzzy closure systems and (L, M)-fuzzy Alexandrov topologies in a degree sense. Journal of Intelligent & Fuzzy Systems 36:1, pages 385-396.
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Yan-rui Lv, Qiu Jin, Fang-fang Zhao & Ling-qiang Li. 2019. Fuzzy Sets and Operations Research. Fuzzy Sets and Operations Research 111 118 .
Lingqiang Li, Qiu Jin & Bingxue Yao. (2018) Regularity of fuzzy convergence spaces. Open Mathematics 16:1, pages 1455-1465.
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Songtao Shao, Xiaohong Zhang, Yu Li & Chunxin Bo. (2018) Probabilistic Single-Valued (Interval) Neutrosophic Hesitant Fuzzy Set and Its Application in Multi-Attribute Decision Making. Symmetry 10:9, pages 419.
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Fangfang Zhao & Lingqiang Li. (2017) Axiomatization on generalized neighborhood system-based rough sets. Soft Computing 22:18, pages 6099-6110.
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Qiu Jin & Lingqiang Li. (2018) Modified Top-convergence spaces and their relationships to lattice-valued convergence spaces. Journal of Intelligent & Fuzzy Systems 35:2, pages 2537-2546.
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Songtao Shao, Xiaohong Zhang, Chunxin Bo & Choonkil Park. (2018) Multi-granulation rough filters and rough fuzzy filters in Pseudo-BCI algebras. Journal of Intelligent & Fuzzy Systems 34:6, pages 4377-4386.
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Bin Yang & Bao Qing Hu. (2018) Matrix representations and interdependency on L-fuzzy covering-based approximation operators. International Journal of Approximate Reasoning 96, pages 57-77.
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Lingqiang Li. (2017) On the category of enriched (L, M)-convex spaces. Journal of Intelligent & Fuzzy Systems 33:6, pages 3209-3216.
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