J4

• Articles • Previous Articles     Next Articles

The θ-rough fuzzy sets

LI Jian and XU Xiao-jing   

  1. School of Math. and System Sci., Shandong Univ., Jinan 250100, Shandong, China
  • Received:2005-06-23 Revised:2005-08-26 Online:2006-10-24 Published:2006-10-24
  • Contact: LI Jian

Abstract: The conception of θ-inclusion equivalence class of rough fuzzy sets is proposed, a new definition form of variable precision rough fuzzy sets θ-rough fuzzy sets is given, and the structure and property of θ- rough fuzzy sets are discussed. Lastly, the equivalence relation between the cut of θ-rough fuzzy sets and the θ-rough sets of the cut of fuzzy sets is proved.

Key words: approximation precision , θ-rough fuzzy sets, θ-inclusion equivalence class, variable precision rough fuzzy sets

CLC Number: 

  • O159
[1] YU Xiao-dan, DONG Li, WU Cong, KONG Xiang-zhi. Soft incidence ring [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(4): 31-35.
[2] LIU Li-jun. Characterizations and properties of triple-δ-derivation in Boolean algebra [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(11): 95-99.
[3] . Application of fuzzy differential transform method for solving fuzzy integral differential equation [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(10): 42-49.
[4] LIU Li-jun. Characterizations of n-fold positive implicative filter in residuated lattice [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(8): 48-52.
[5] PENG Jia-yin. Disturbing fuzzy ideals of BL-algebras [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(10): 78-94.
[6] LU Wei, SONG Xiao-qiu, HUANG Lei-lei. Inequalities of Hermite-Hadamard and Sandaor for fuzzy integral [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(8): 22-28.
[7] PENG Jia-yin. [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(2): 119-126.
[8] SUO Chun-feng, WANG Gui-jun. Potential influence of maximum interactive number on non-homogeneous T-S fuzzy system [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(08): 14-19.
[9] PENG Jia-yin. Soft filters of pseudo-BL algebras related to fuzzy set theory [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(08): 40-45.
[10] SHEN Chong, YAO Wei. A one-to-one correspondence between fuzzy G-ideals and fuzzy Galois connections on fuzzy complete lattices [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(04): 36-41.
[11] YANG Yong-wei, HE Peng-fei, LI Yi-jun. Falling fuzzy ideals of BL-algebras [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(02): 83-89.
[12] 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.
[13] HAN Liang, LIU Hua-wen. On the solutions of the distributive equations of #br# logic operators on a finite chain [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(2): 29-35.
[14] YAN Li-mei, XU Feng-sheng. Attribute conjunctive expansion-reduction characteristics and #br# intelligent discovery of P-information [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(2): 98-103.
[15] CHEN Gui-ying. Stability analysis of generalized fuzzy bidirectional associative #br# memory networks with thresholds [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(1): 80-85.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright 2018 © Editorial office of JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
Supported by Beijing Magtech Co.Ltd