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Separation of fuzzy sets in fuzzy minimal spaces

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  • Alimohammady, M.
  • Roohi, M.

Abstract

This paper deals with the concepts of fuzzy minimal separation and fuzzy closed minimal separation. Some criterion for m-separatedness and Cm-separatedness of two fuzzy sets in a fuzzy minimal space are achieved. Further, it is shown that for any fuzzy sets C and D in Y, A×C and B×D are fuzzy m-separated (Cm-separated) in X×Y, if A and B are fuzzy m-separated (Cm-separated) sets in X. Moreover, c.A and c.B are fuzzy m-separated (Cm-separated) if and only if A and B are fuzzy m-separated (Cm-separated).

Suggested Citation

  • Alimohammady, M. & Roohi, M., 2007. "Separation of fuzzy sets in fuzzy minimal spaces," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 155-161.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:1:p:155-161
    DOI: 10.1016/j.chaos.2005.09.033
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    References listed on IDEAS

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    1. Alimohammady, M. & Roohi, M., 2006. "Compactness in fuzzy minimal spaces," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 906-912.
    2. Alimohammady, M. & Roohi, M., 2006. "Fuzzy Um-sets and fuzzy (U,m)-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 20-25.
    3. Alimohammady, M. & Roohi, M., 2006. "Fuzzy minimal structure and fuzzy minimal vector spaces," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 599-605.
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