On generalizations of Soft Fuzzy Gδ Semi-Closed Sets

  • Authors

    • V. Visalakshi
    • D. Vidhya
    • T. Yogalakshmi
    https://doi.org/10.14419/ijet.v7i4.10.28814
  • 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

    1. [1] Azad KK,†On fuzzy semi continuity, fuzzy almost continuity and fuzzy weakly continuityâ€, J. Math. Anal. Appl., Vol.82 ( 1981 ), pp.14 - 32.

      [2] Balasubramanian G, “Maximal fuzzy topologiesâ€, KYBERNETIKA, Vol.31 (1995 ), pp.459 – 464.

      [3] Chang CL, “Fuzzy topological spacesâ€, J. Math. Anal. Appl., Vol.24 ( 1968 ), pp.182 - 190.

      [4] Fatteh UV and Bassan DS, “Fuzzy connectedness and its stronger formsâ€, J. Math. Anal. Appl., Vol.111 ( 1985 ), pp.449 - 464.

      [5] Jin Han Park and Jin Kuen Park, “Generalized fuzzy semi-closed sets and generalizations of fuzzy continuous functionâ€, International Review of Fuzzy Mathematics, Vol. 1, No. 1 (2006), pp. 89 - 101.

      [6] Smets P,†The degree of belief in a fuzzy eventâ€, Inform. Sci., Vol.25(1981), pp. 1-19.

      [7] Sugeno M, “An introductory survey of fuzzy controlâ€, Inform. Sci.,Vol. 36(1985), pp. 59-83.

      [8] Ismail U Tiryaki,†Fuzzy sets over the poset Iâ€, Hacet. J. Math. Stat., Vol. 37, No.2(2008), pp. 143-166.

      [9] Vidhya D, Roja E and Uma MK, “On soft fuzzy B open setsâ€, Journal of fuzzy Mathematics, Vol. 21, No. 2(2013), 333-348

      [10] Visalakshi V, Uma MK, Roja E, “On soft fuzzy Gδ pre continuity in soft fuzzy topological spaceâ€, Annals of Fuzzy Mathematics and Informatics, Vol. 8, No. 6(2014), pp 921-939.

      [11] Yogalakshmi T, “Disconnectedness in soft fuzzy centred sys Temsâ€, International journal of pure and applied mathematicsâ€, Vol. 115, No.9 (2017), pp.223 – 229.

      [12] Zadeh LA,†Fuzzy setsâ€, Information and Control, Vol.8(1965), pp 338-353.

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  • How to Cite

    Visalakshi, V., Vidhya, D., & Yogalakshmi, T. (2018). On generalizations of Soft Fuzzy Gδ Semi-Closed Sets. International Journal of Engineering & Technology, 7(4.10), 1105-1110. https://doi.org/10.14419/ijet.v7i4.10.28814

    Received date: 2019-04-12

    Accepted date: 2019-04-12