Continuity of functions defined on the space of fuzzy sets

Information Sciences

Volumn 157, Issue 1-4, 2003, Pages 155-165

  Ghil, Byung Moon ^a   Kim, Yun Kyong ^b  

^a SunMoon University   (South Korea)

^b Dongshin University   (South Korea)

Author keywords

Fuzzy sets; The Hausdorff metric; The level multifunction; The Skorokhod metric

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTION EVALUATION; FUZZY SETS; THEOREM PROVING; TOPOLOGY;

METRIC SPACES;

INFORMATION SCIENCE;

EID: 0242365699     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-0255(03)00180-4     Document Type: Article

References (8)

1. G. Debreu, Integration of correspondences, in: Proc. 5th Berkeley Symp. Math. Statist. Prob., vol. 2, 1966, pp. 351-372.
2. Joo S.Y., Kim Y.K. The Skorokhod topology on space of fuzzy numbers. Fuzzy Sets Syst. 111:2000;497-501.
3. Joo S.Y., Kim Y.K. Topological properties on the space of fuzzy sets. J. Math. Anal. Appl. 246:2000;576-590.
4. Joo S.Y., Kim Y.K. Continuity of addition and scalar multiplication on the space of fuzzy sets. Korean Comput. Appl. Math. Ser. A. 8:2001;551-560.
5. Kim Y.K. Measurability for fuzzy valued functions. Fuzzy Sets Syst. 129:2002;105-109.
6. Kim Y.K. Compactness and convexity on the space of fuzzy sets. J. Math. Anal. Appl. 264:2001;121-132.
7. Klement E.P., Puri M.L., Ralescu D.A. Limit theorems for fuzzy random variables. Proc. R. Soc. London, Ser. A. 407:1986;171-182.
8. Molchanov I.S. On strong law of large numbers for random upper semicontinuous functions. J. Math. Anal. Appl. 235:1999;349-355.