Intuitionistic Fuzzy Rough Approximation Operators

Since upper and lower approximations could be induced from the rough set structures, rough sets are considered as approximations. The concept of fuzzy rough sets was proposed by replacing crisp binary relations with fuzzy relations by Dubois and Prade. In this paper, we introduce and investigate some properties of intuitionistic fuzzy rough approximation operators and intuitionistic fuzzy relations by means of topology.

[1]  Bao Qing Hu,et al.  Topological and lattice structures of L-fuzzy rough sets determined by lower and upper sets , 2013, Inf. Sci..

[2]  Dogan Çoker,et al.  An introduction to intuitionistic fuzzy topological spaces , 1997, Fuzzy Sets Syst..

[3]  Janusz Kacprzyk,et al.  Distances between intuitionistic fuzzy sets , 2000, Fuzzy Sets Syst..

[4]  Lei Zhou,et al.  On intuitionistic fuzzy topologies based on intuitionistic fuzzy reflexive and transitive relations , 2011, Soft Comput..

[5]  Dexue Zhang,et al.  Fuzzy preorder and fuzzy topology , 2006, Fuzzy Sets Syst..

[6]  Lei Zhou,et al.  On intuitionistic fuzzy rough sets and their topological structures , 2009, Int. J. Gen. Syst..

[7]  Humberto Bustince,et al.  Structures on intuitionistic fuzzy relations , 1996, Fuzzy Sets Syst..

[8]  R. Lowen.  Fuzzy topological spaces and fuzzy compactness , 1976 .

[9]  ÇokerDoğan.  An introduction to intuitionistic fuzzy topological spaces , 1997 .

[10]  Hamid Reza Karimi,et al.  Design of a TFT-LCD based digital automobile instrument , 2014 .

[11]  Sang Min Yun,et al.  Intuitionistic Fuzzy Topology and Intuitionistic Fuzzy Preorder , 2015, Int. J. Fuzzy Log. Intell. Syst..

[12]  D. Dubois,et al.  ROUGH FUZZY SETS AND FUZZY ROUGH SETS , 1990 .

[13]  C. L. Chang,et al.  Fuzzy topological spaces , 1968 .

[14]  Seok-Jong Lee,et al.  THE CATEGORY OF INTUITIONISTIC FUZZY TOPOLOGICAL SPACES , 2000 .

[15]  K. Azad,et al.  ON HAUSDORFFNESS AND COMPACTNESS IN INTUITIONISTIC FUZZY TOPOLOGICAL SPACES , 2011 .

[16]  Yong Chan Kim.  JOIN-MEET APPROXIMATION OPERATORS INDUCED BY ALEXANDROV FUZZY TOPOLOGIES , 2014 .

[17]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[18]  Dingwei Zheng,et al.  On Fuzzy Rough Sets and Their Topological Structures , 2014 .