• Title of article

    CORRESPONDENCE BETWEEN PROBABILISTIC NORMS AND FUZZY NORMS

  • Author/Authors

    Hua-Peng Zhang، Hua-Peng Zhang نويسنده School of Science, Nanjing University of Posts and Telecommuni- cations, Nanjing 210023, China Hua-Peng Zhang, Hua-Peng Zhang

  • Issue Information
    دوماهنامه با شماره پیاپی 0 سال 2016
  • Pages
    10
  • From page
    105
  • To page
    114
  • Abstract
    در اين مقاله، ارتباط بين نرمهاي احتمالي Menger و نرمهاي احتمالي H?hle مورد بررسي قرار گرفته است. بعلاوه ، بين نرمهاي احتمالي و (نيم-) نرمهاي فازي Wu-Fang يك تناظر برقرار شده است. نشان داده شده كه نرم احتمالي ( با مينيمم نرم مثلثي ) مي تواند يك نيم- نرم فازي Wu-Fang توليد كند و بالعكس ، يك نرم فازي Wu-Fang مي تواند يك نرم احتمالي توليد كند.
  • Abstract
    In this paper, the connection between Menger probabilistic norms and Hohle probabilistic norms is discussed. In addition, the correspondence between probabilistic norms and Wu-Fang fuzzy (semi-) norms is established. It is shown that a probabilistic norm (with triangular norm min) can generate a Wu-Fang fuzzy semi-norm and conversely, a Wu-Fang fuzzy norm can generate a probabilistic norm.
  • Journal title
    Iranian Journal of Fuzzy Systems (IJFS)
  • Serial Year
    2016
  • Journal title
    Iranian Journal of Fuzzy Systems (IJFS)
  • Record number

    2384537

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2384537