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On the grade of a sequence of fuzzy sets and join spaces determined by a hypergraph II

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Abstract

Corsini and Leoreanu (in SABM 34(2):231–242, 2010) proposed an open problem, claiming that for every positive interger s ≥ 3, the fuzzy grade of a particular hypergroupoid H s might be 1. With the help of MATLAB, in this paper, we obtain that for s = 6, 7, 8, the fuzzy grade of H s is 5. Thereby solving the open problem in the negative.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, 404100, Wanzhou, People’s Republic of China

    Yuming Feng & Youyi Jiang

  2. Faculty of Mathematics, “AI. I. Cuza” University, 6600, Iasi, Romania

    V. Leoreanu-Fotea

Authors
  1. Yuming Feng
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  2. Youyi Jiang
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  3. V. Leoreanu-Fotea
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Correspondence to Yuming Feng.

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Feng, Y., Jiang, Y. & Leoreanu-Fotea, V. On the grade of a sequence of fuzzy sets and join spaces determined by a hypergraph II. Afr. Mat. 24, 83–91 (2013). https://doi.org/10.1007/s13370-011-0038-6

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  • DOI: https://doi.org/10.1007/s13370-011-0038-6

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