On generalizations of Soft Fuzzy Gδ Semi-Closed Sets
About this article
DOI:
https://doi.org/10.14419/ijet.v7i4.10.28814Keywords:
gsfGδs-closed, gsfGδs-continuous, gsfGδs-connected space, gsfGδs-extremally disconnected space, gsfFσs-compact space.Abstract
In this paper, soft fuzzy Gδ semi closed set is introduced. Using soft fuzzy Gδ semi closed set, generalized soft fuzzy Gδ semi-continuous function, generalized soft fuzzy Gδ semi-connected space, generalized soft fuzzy Fσ semi-compact space are introduced and studied. In this connection, properties and characterizations are established. Also soft fuzzy T-Fσ space is introduced and studied. Examples and counter examples are provided wherever necessary.
References
Azad KK,” On fuzzy semi continuity, fuzzy almost continuity and fuzzy weakly continuity”, J. Math. Anal. Appl., Vol.82 ( 1981 ), pp.14 - 32.
Balasubramanian G, “Maximal fuzzy topologies”, KYBERNETIKA, Vol.31 (1995 ), pp.459 – 464.
Chang CL, “Fuzzy topological spaces”, J. Math. Anal. Appl., Vol.24 ( 1968 ), pp.182 - 190.
Fatteh UV and Bassan DS, “Fuzzy connectedness and its stronger forms”, J. Math. Anal. Appl., Vol.111 ( 1985 ), pp.449 - 464.
Jin Han Park and Jin Kuen Park, “Generalized fuzzy semi-closed sets and generalizations of fuzzy continuous function”, Interna-tional Review of Fuzzy Mathematics, Vol. 1, No. 1 (2006), pp. 89 - 101.
View more references (7)
Smets P,” The degree of belief in a fuzzy event”, Inform. Sci., Vol.25(1981), pp. 1-19.
Sugeno M, “An introductory survey of fuzzy control”, Inform. Sci.,Vol. 36(1985), pp. 59-83.
Ismail U Tiryaki,” Fuzzy sets over the poset I”, Hacet. J. Math. Stat., Vol. 37, No.2(2008), pp. 143-166.
Vidhya D, Roja E and Uma MK, “On soft fuzzy B open sets”, Journal of fuzzy Mathematics, Vol. 21, No. 2(2013), 333-348
Visalakshi V, Uma MK, Roja E, “On soft fuzzy Gδ pre continuity in soft fuzzy topological space”, Annals of Fuzzy Mathematics and Informatics, Vol. 8, No. 6(2014), pp 921-939.
Yogalakshmi T, “Disconnectedness in soft fuzzy centred sys Tems”, International journal of pure and applied mathematics”, Vol. 115, No.9 (2017), pp.223 – 229.
Zadeh LA,” Fuzzy sets”, Information and Control, Vol.8(1965), pp 338-353.