J4

• Articles • Previous Articles     Next Articles

LF-topological methods on the theory of covering generalized rough sets

SUN Shou-bin, MENG Guang-wu   

  1. School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: SUN Shou-bin

Abstract: The theory of covering generalized rough sets was studied with L-fuzzy topology. The relative interior and closure operators were defined in L-fuzzy topological space and their basic properties were discussed. These results can be considered as the fundamental theory of rough sets and L-fuzzy topology.

Key words: covering generalized rough set , rough set, L-fuzzy topology

CLC Number: 

  • O159
[1] LI Tong-jun, HUANG Jia-wen, WU Wei-zhi. Attribute reduction of incomplete contexts based on similarity relations [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(8): 9-16.
[2] ZUO Zhi-cui, ZHANG Xian-yong, MO Zhi-wen, FENG Lin. Block discernibility matrix based on decision classification and its algorithm finding the core [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(8): 25-33.
[3] LI Li, GUAN Tao, LIN He. The hybrid parallel rough set model based on pansystems operators [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(7): 22-29.
[4] WANG Xia, ZHANG Qian, LI Jun-yu, LIU Qing-feng. Triadic concept analysis based on rough set theory [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(7): 37-43.
[5] WANG Xiao-yan, SHEN Jia-lan, SHEN Yuan-xia. Graded multi-granulation rough set based on weighting granulations and dominance relation [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(3): 97-104.
[6] HUANG Wei-ting, ZHAO Hong, ZHU William. Adaptive divide and conquer algorithm for cost-sensitive attribute reduction [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(8): 98-104.
[7] LI Ling-qiang, LI Qing-guo. The characterizations of lattice-valued fuzzy lower approximation operators by a unique axiom [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(10): 78-82.
[8] LUO hai-yan, LÜ Ping, LIU Lin-zhong, YANG Xun. Enterprises trust comprehensive evaluation based on fussy rough AHP in cloud computing [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(08): 111-117.
[9] ZHAI Jun-hai, ZHANG Yao, WANG Xi-zhao. Tolerance rough fuzzy set model [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(08): 73-79.
[10] AN Qiu-sheng, KONG Xiang-yu. New research of functional dependency and multi-valued dependency [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(08): 1-5.
[11] WU Zheng-jiang, LIU Yong-li, GAO Yan. Cover rough sets on a semi-monolayer cover [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(08): 6-14.
[12] LIN Zi-qiong, WANG Jing-qian, ZHU William. Computing minimal description and maximal description in covering-based rough sets through matrices [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(08): 97-101.
[13] SHI Su-wei, LI Jin-jin, TAN An-hui. Fuzzy roughness and rough entropy of covering based generalized rough intuitionistic fuzzy set model [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(08): 86-91.
[14] XU Feng-sheng1, YU Xiu-qing1, ZHANG Huan-li2. S-rough equivalent classes and knowledge dynamic miningdiscovery [J]. J4, 2013, 48(3): 37-41.
[15] PEI Hai-feng. ε-function rough sets and its application [J]. J4, 2012, 47(11): 88-93.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!