On some types of fuzzy connectedness in fuzzy topological spaces

Nets and filters in intuitionistic fuzzy topological spaces

“…Ç oker and Demirci [7] defined and studied the basic concept of intuitionistic fuzzy point, later Ç oker [5,6] constructed the fundamental theory on intuitionistic fuzzy topological spaces, and Ç oker and others [7][8][9][10][11][12][13][14][15]20] studied compactness, connectedness and continuity in intuitionistic fuzzy topological spaces and intuitionistic gradation of neighborhoodness and other topics. Finally, Lee and Lee [18] showed that the category of fuzzy topological spaces in the sense of Chang is a bireflective full subcategory of that of intuitionistic fuzzy topological spaces, and Wang and He [22] showed that every intuitionistic fuzzy set may be regarded as an L-fuzzy set for some appropriate lattice L.…”

$\beta-$connectedness in $L-$topological spaces

“…As well known, connectivity occupies very important place in topology. Many authors have presented different kinds of connectivity in fuzzy setting( [2], [6], [11], [13], [14]). In [3], Balasubramanian…”

$\beta-$connectedness in $L-$topological spaces

“…Many authors have presented different kinds of connectivity in fuzzy setting( [2], [6], [11], [13], [14]). In [3] …”