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T -neighborhood groups

Author

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  • T. M. G. Ahsanullah
  • Fawzi Al-Thukair

Abstract

We generalize min-neighborhood groups to arbitrary T -neighborhood groups, where T is a continuous triangular norm. In particular, we point out that our results accommodate the previous theory on min-neighborhood groups due to T. M. G. Ahsanullah. We show that every T -neighborhood group is T -uniformizable, therefore, T -completely regular. We also present several results of T -neighborhood groups in conjunction with T I -groups due to J. N. Mordeson.

Suggested Citation

  • T. M. G. Ahsanullah & Fawzi Al-Thukair, 2004. "T -neighborhood groups," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-17, January.
    • Handle: RePEc:hin:jijmms:423543
    DOI: 10.1155/S0161171204307052
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