26
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Continuity and completeness of lattice-valued possibilistic measures

Pages 555-574 | Received 19 Apr 2005, Accepted 19 Jan 2006, Published online: 27 Nov 2006

References

  • Arslanov , M.Z. and Ismail , E.E. 2004 . On the existence of a possibility distribution function . Fuzzy Sets Syst. , 148 : 279 – 290 .
  • Birkhoff , G. 1967 . Lattice Theory , 3rd ed. Providence, Rhode Island
  • De Cooman , G. 1997 . Possibility theory I, II, III . Int. J. Gen. Syst. , 25 : 291 – 323 . 325–351, 353–371
  • Doob , J.L. 1953 . Stochastic Processes , New York : Wiley .
  • Dubois , D. and Prade , H. 1988 . Possibility Theory: An Approach to Computerized Processing of Uncertainty , New York : Plenum Press .
  • Dubois , D. 2000 . “ Possibility theory, probability theory and fuzzy sets: misunderstandings, bridges and gaps ” . In The Handbook of Fuzzy Sets Series—Fundamentals of Fuzzy Sets , Edited by: Dubois , D. and Prade , H. 343 – 438 . Boston : Kluwer Academic Publishers .
  • Faure , R. and Heurgon , E. 1971 . Structures Ordonnées et Algèbres de Boole , Paris : Gauthier-Villars .
  • Goguen , J.A. 1967 . ℒ-fuzzy sets . J. Math. Anal. Appl. , 18 : 145 – 174 .
  • Halmos , P.R. 1950 . Measure Theory , New York : D. van Nostrand .
  • Loève , M. 1960 . Probabili;ty Theory , New York : D. van Nostrand .
  • Murofushi , T. and Sugeno , M. 1993 . Continuous from above possibility measures and F-additive fuzzy measures . Fuzzy Sets Syst. , 54 : 351 – 354 .
  • Puri , M.L. and Ralescu , D. 1982 . A possibility measure is not a fuzzy measure . Fuzzy Sets Syst. , 7 : 311 – 313 .
  • Sikorski , R. 1964 . Boolean Algebras , 2nd ed. , Berlin : Springer-Verlag .
  • Zadeh , L.À. 1978 . Fuzzy sets as a basis for a theory of possibility . Fuzzy Sets and Systems , 1 : 3 – 28 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.