A note on the null-additivity of the fuzzy measure: corrigendum to "On the null-additivity of the fuzzy measure" [Fuzzy Sets and Systems 78 (1996) 337-339]

  • Authors:

  • Jun Li

  • Affiliations:

  • Department of Applied Mathematics, Southeast University Nanjing 210096, People's Republic of China and On leave from Department of Mathematics, Faculty of Science and Chiba University, Chiba 263, ...

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2002

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Abstract

In this paper, we point out that Theorems 2 and 2' shown in the paper "On the null-additivity of the fuzzy measure" (Fuzzy Sets and Systems 78 (1996) 337-339) are not valid, and we also introduce a weaker condition than the null-additivity of a set function to correct the results.