Title :
The extension of interval validation methods to fuzzy set theory
Author :
Lodwick, Weldon A. ; Jamison, K. David ; Newman, Francis
Author_Institution :
Dept. of Math., Colorado Univ., Denver, CO, USA
Abstract :
The idea of validation arises naturally within the context of interval analysis where the theory and methods are well developed. Approaching fuzzy set theory through fuzzy interval analysis, we develop a validation theory for fuzzy sets. An example is given to illustrate the ideas
Keywords :
fuzzy set theory; possibility theory; computational tractability; fuzzy interval analysis; fuzzy number; fuzzy set theory; fuzzy sets; interval analysis; interval validation methods; lower functions; membership functions; possibility theory; real fuzzy numbers; upper functions; validation theory; Arithmetic; Convergence; Distributed computing; Fuzzy set theory; Fuzzy sets; Particle measurements; Possibility theory; Probability distribution; Uncertainty; Welding;
Conference_Titel :
IFSA World Congress and 20th NAFIPS International Conference, 2001. Joint 9th
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-7078-3
DOI :
10.1109/NAFIPS.2001.943801
