• Title/Summary/Keyword: Fyzzy numbers

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ON THE LIMITS OF SUMS OF FUZZY NUMBERS

  • Kwon, Joong-Sung
    • Journal of applied mathematics & informatics
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    • v.5 no.1
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    • pp.153-162
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    • 1998
  • We study limits of sums of fuzzy numbers with different spreads and different shape functions where addition is defined by the sup-t-norm. We show the existence of the limit of the series of fuzzy numbers and prove the uniform continuity of the limit. Finally we investigate a law of large numbers for sequences of fuzzy numbers.

CONFLICT RESOLUTION IN FUZZY ENVIRONMENT

  • Shen, Ling;Szidarovszky, Ferenc
    • Journal of applied mathematics & informatics
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    • v.5 no.1
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    • pp.51-64
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    • 1998
  • Conflict resolution methodology is discussed with fuzzified Pareto frontier. Four solution concepts namely the Nash solution the generalized nash solution the kalai-Smorodinsky concept and a solution method based on a special bargaining process are examined. The solutions are also fuzzy, the corresponding payoff values are fyzzy numbers the membership functions of which are determined. Three particular cases are considered in the paper. Linear quadratic, and general nonlinear pareto frontiers with known shape are examined.