Weak forms of continuity in I-double gradation fuzzy topological spaces

In this paper, we introduce and characterize double fuzzy weakly preopen and double fuzzy weakly preclosed functions between I-double gradation fuzzy topological spaces and also study these functions in relation to some other types of already known functions.

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

[2]  A. Sostak On a fuzzy topological structure , 1985 .

[3]  S. K. Samanta,et al.  On intuitionistic gradation of openness , 2002, Fuzzy Sets Syst..

[4]  John N. Mordeson,et al.  Fuzzy Topological Spaces , 2001 .

[5]  Javier Gutiérrez García,et al.  Order-theoretic, topological, categorical redundancies of interval-valued sets, grey sets, vague sets, interval-valued "intuitionistic" sets, "intuitionistic" fuzzy sets and topologies , 2005, Fuzzy Sets Syst..

[6]  Xinming Tang Spatial object model[l]ing in fuzzy topological spaces : with applications to land cover change , 2004 .

[7]  Young-Bin Im,et al.  Mated Fuzzy Topological Spaces , 2001 .

[8]  M. E. Naschie,et al.  On the uncertainty of Cantorian geometry and the two-slit experiment , 1998 .

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

[10]  Jirí Michálek,et al.  Fuzzy topologies , 1975, Kybernetika (Praha).

[11]  Bin Li,et al.  Fuzzy Description of Topological Relations I: A Unified Fuzzy 9-Intersection Model , 2005, ICNC.

[12]  M. Egenhofer Categorizing Binary Topological Relations Between Regions, Lines, and Points in Geographic Databases , 1998 .

[13]  M. Egenhofer,et al.  Point-Set Topological Spatial Relations , 2001 .

[14]  Kul Hur,et al.  INTUITIONISTIC FUZZY TOPOLOGICAL SPACES , 2004 .

[15]  M. S. El Naschie,et al.  On the unification of heterotic strings, M theory and E(∞) theory , 2000 .