An interval-based approach for working with fuzzy numbers
An interval-based approach for working with fuzzy numbers is presented. This approach is based on the use of a ranking function calling the average value. This ranking function can be used in different processes associated to fuzzy numbers. Processes as ranking methods, indifference relations, operations on fuzzy numbers and distance measures, has been considered. An interpretation for each one of these processes, as an equivalent process on real intervals representing the mean value of the fuzzy numbers involved, has been obtained. Moreover, from this interpretation the above processes may be visualized through an useful graphic representation.
KeywordsFuzzy Numbers expectation interval analysis ranking function
Unable to display preview. Download preview PDF.
- Campos, L. and Gonzalez, A. Further contributions to the study of the average value for ranking fuzzy numbers, to appear in International Journal of Approximate Reasoning.Google Scholar
- Choquet, G. (1953) Theory of capacities, Ann. Inst. Fourier 5, 263–272.Google Scholar
- Moore, R. (1966) Interval analysis, Prentice Hall, Englewood Cliffs, N.J.Google Scholar