The extension of interval validation methods to fuzzy set theory

Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS

Volumn 3, Issue , 2001, Pages 1665-1670

  Lodwick, Weldon A ^a   Jamison, K David ^b   Newman, Francis ^a  

^a UNIVERSITY OF COLORADO   (United States)

^b Watson Wyatt and Company   (United States)

Author keywords

Interval analysis; Optimization; Possibility theory

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; FUNCTION EVALUATION; MEMBERSHIP FUNCTIONS; NUMBER THEORY; OPTIMIZATION; THEOREM PROVING; UNCERTAIN SYSTEMS;

COMPUTATIONAL TRACTABILITY; INTERVAL VALIDATION METHOD; LOWER BOUNDING FUNCTIONS; POSSIBILITY THEORY; REAL FUZZY NUMBER; UPPER BOUNDING FUNCTIONS;

FUZZY SETS;

EID: 0035792456     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (6)

1. Dubois, D., Nguyen, H., and Prade, H., "Possibility theory, probability and fuzzy sets: Misunderstandings, bridges and gaps," in Dubois, D. and Prade, H., Editors, The Handbook of Fuzzy Sets, Kluwer, 2000, pp. 343-438.
2. Dubois, D., Kerre, E., Mesiar, R. and Prade, H., "Fuzzy interval analysis," in Dubois, D. and Prade, H., Editors, The Handbook of Fuzzy Sets, Kluwer, 2000, pp. 483-581.
3. Jamison, K.D. and Lodwick, W.A., "The construction of consistent possibility and necessity measures," UCD/CCM Report No. 171, February, 2001 (submitted for publication).
4. Moore, R.E. Methods and Applications of Interval Analysis. SIAM Publications, Philadelphia, 1979.
5. R.E. Moore, Risk Analysis without Monte Carlo methods, Freiburger Intervall-Berichte 1 (1984) 1-48.
6. Zadeh, L. A., "Fuzzy sets as a basis of a theory of possibility," Fuzzy Sets and Systems 1, 1978, pp. 3-28.