Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

CONTINUITY OF THE ADDITION AND SCALAR MULTIPLICATION ON THE SPACE OF FUZZY SETS

  • Joo, Sang-Yeol (Department of Statistics, Kangwon National University) ;
  • Kim, Yun-Kyong (Department of Computational Mathematics, Dongshin University)
  • Published : 2001.05.01

⟨ Previous Next ⟩

Abstract

In this paper, we investigate the continuity if addition and scalar multiplication on the space F(R/sup p/) of upper semicontinuous fuzzy sets in R/sup p/ under the Shorokhod metric.

Keywords

References

  1. Convergence of probability measures P.Billingsley
  2. Ann. Probab. v.7 Laws of large numbers for D[0,1] P.Z.Daffer;R.L.Taylor
  3. Proc. 5th Berkeley Symp. Math. Statist. Prob. v.2 Intergration of correspondences G.Debreu
  4. Fuzzy Sets and Systems A characterization of compact subsets of fuzzy number space B.M.Ghil;S.Y.Joo;Y.K.Kim
  5. Fuzzy Sets and Systems v.18 Elementary fuzzy calculus R.Goetschel;W.Voxman
  6. Limit Theorems for Stochastic Processes J.Jacod;A.N.Shirayaev
  7. Fuzzy Sets and Systems v.111 The Skorokhod topology on space of fuzzy numbers S.Y.Joo;Y.K.Kim
  8. Journal of Mathematical Analysis and Applications v.246 Topological properties on the space of fuzzy sets S.Y.Joo;Y.K.Kim
  9. Fuzzy Sets and Systems v.17 On the convergence of fuzzy sets O.Kaleva
  10. Proc. Roy. Soc. Lond. Ser. v.A407 Limit theorems for fuzzy random variables E.P.Klement;M.L.Puri;D.A.Ralescu
  11. Theory Probab. Appl. v.1 Limit theorems for stochastic processes A.V.Skorokhod