Fuzzy subsethood and belief functions of fuzzy events

Fuzzy Sets and Systems

Volumn 158, Issue 1, 2007, Pages 38-49

  Biacino, Loredana ^a  

^a Department of Mathematics and Applications ^*  (Italy)

Author keywords

Belief function; Fuzzy inclusion

Indexed keywords

FUNCTION EVALUATION; PROBABILITY;

BELIEF FUNCTION; FUZZY FOCAL EVENTS; FUZZY INCLUSION;

FUZZY SETS;

EID: 33750733274     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2006.06.007     Document Type: Article

References (18)

1. Bandler W., and Kohout L. Fuzzy power sets and fuzzy implication operators. Fuzzy Sets and Systems 4 (1980) 183-190
2. Bodenhofer U. Representations and constructions of similarity-based fuzzy orderings. Fuzzy Sets and Systems 137 (2003) 113-136
3. Denoeux T. Modeling vague beliefs using fuzzy-valued belief structures. Fuzzy Sets and Systems 116 (2000) 167-199
4. Dubois D., and Prade H. Evidence measures based on fuzzy information. Automatica 21 (1985) 547-562
5. Gottwald S. Fuzzy Sets and Fuzzy Logic (1993), Vieweg, Braunschweig/Wiesbaden
6. U. Höhle, Fuzzy filters: a generalization of credibility measures, in: E. Sanchez, M.M. Gupta (Eds.), Fuzzy information, Knowledge Representation and Decision Analysis, 19-21 July 1983.
7. Kosko B. Neural Networks and Fuzzy Systems (1992), Prentice-Hall, NY
8. Shafer G. A Mathematical Theory of Evidence (1975), Princeton University Press, Princeton, NJ
9. Sinha D., and Dougherty E. Fuzzification of set inclusion theory and applications. Fuzzy Sets and Systems 55 (1993) 15-42
10. Smets P. The degree of belief in a fuzzy event. Inform. Sci. 25 (1981) 1-19
11. Tsiporkova-Hristoskova E., De Baets B., and Kerre E. A fuzzy inclusion based approach to upper inverse images under fuzzy multivalued mappings. Fuzzy Sets and Systems 85 (1997) 93-108
12. Wang Z., and Klir G. Fuzzy Measure Theory (1992), Plenum Press, New York
13. Willmott R. Two fuzzier implication operators in the theory of fuzzy power sets. Fuzzy Sets and Systems 4 (1980) 31-36
14. R. Willmott, Mean measures of containement and equality between fuzzy sets, Proceedings of the 11th International Symposium on Multiple-Valued Logic, Oklahoma, 1981, pp. 183-190.
15. Yager R. Generalized probabilities of fuzzy events from fuzzy belief structures. Inform. Sci. 28 (1982) 45-62
16. Yen J. Generalizing the Dempster-Shafer theory to fuzzy sets. IEEE Trans. Systems Man Cybernet. 20 (1990) 559
17. Young R.V. Fuzzy subsethood. Fuzzy Sets and Systems 77 (1996) 371-384
18. Zadeh L. Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems 1 (1978) 3-28