In this paper, The T-G-action topology on a set acted
on by a fuzzy T-neighborhood (T-neighborhood, for short) group is
defined as a final T-neighborhood topology with respect to a set of
maps. We mainly prove that this topology is a T-regular Tneighborhood
topology.
[1] T.M.G. Ahsanullah, On fuzzy neighbourhood groups, J. Math. Anal.
Appl.130 (1988)237-251.
[2] N. Bourbaki, "General Topology Part I," Addision- Wesley, Reading,
MA, 1966.
[3] D.H. Foster, Fuzzy topological groups, J. Math. Anal. Appl. 67 (1979)
549-564.
[4] K. A. Hashem and N. N. Morsi, Fuzzy T- neighborhood spaces, Part I:
T- proximities, Fuzzy Sets and Systems 127 (2002) 247-264.
[5] K. A. Hashem and N. N. Morsi, Fuzzy T- neighborhood spaces, Part II:
T- neighborhood systems, Fuzzy Sets and Systems 127 (2002) 265-280.
[6] K. A. Hashem and N. N. Morsi, Fuzzy T- neighborhood spaces, Part III:
T- separation axioms, Fuzzy Sets and Systems 133 (2002) 333-361.
[7] H. A. Khorshed and M. A. El Gendy, On Fuzzy T- neighbourhood
groups, 3rd Internationa Conference of Mathematics and Engineering
Physics (2006) 24-32.
[8] A. Patronis, Colloq. Math. Soc. Janos Bolyai 23(1978) 939-944.
[1] T.M.G. Ahsanullah, On fuzzy neighbourhood groups, J. Math. Anal.
Appl.130 (1988)237-251.
[2] N. Bourbaki, "General Topology Part I," Addision- Wesley, Reading,
MA, 1966.
[3] D.H. Foster, Fuzzy topological groups, J. Math. Anal. Appl. 67 (1979)
549-564.
[4] K. A. Hashem and N. N. Morsi, Fuzzy T- neighborhood spaces, Part I:
T- proximities, Fuzzy Sets and Systems 127 (2002) 247-264.
[5] K. A. Hashem and N. N. Morsi, Fuzzy T- neighborhood spaces, Part II:
T- neighborhood systems, Fuzzy Sets and Systems 127 (2002) 265-280.
[6] K. A. Hashem and N. N. Morsi, Fuzzy T- neighborhood spaces, Part III:
T- separation axioms, Fuzzy Sets and Systems 133 (2002) 333-361.
[7] H. A. Khorshed and M. A. El Gendy, On Fuzzy T- neighbourhood
groups, 3rd Internationa Conference of Mathematics and Engineering
Physics (2006) 24-32.
[8] A. Patronis, Colloq. Math. Soc. Janos Bolyai 23(1978) 939-944.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:51002", author = "Hazem. A. Khorshed and Mostafa A. El Gendy and Amer. Abd El-Razik", title = "Fuzzy T-Neighborhood Groups Acting on Sets", abstract = "In this paper, The T-G-action topology on a set acted
on by a fuzzy T-neighborhood (T-neighborhood, for short) group is
defined as a final T-neighborhood topology with respect to a set of
maps. We mainly prove that this topology is a T-regular Tneighborhood
topology.", keywords = "Fuzzy set, Fuzzy topology, Triangular norm,Separation axioms.", volume = "2", number = "2", pages = "66-5", }