Name
Abstract | ||
|---|---|---|
In many applications, we know the function f (x1,...,xn), we know the intervals xi of possible values of each quantity xi, and we are interested in the range of possible values of y = f(x1,...,xn), this problem is known as the problem of interval computations. In other applications, we know the function f(x1,...,xn), we know the fuzzy sets Xi that describe what we know about each quantity xi, and we are interested in finding the fuzzy set Y corresponding to the quantity y = f(x1,...,xn), this problem is known as the problem of fuzzy computations. There are many efficient algorithms for solving these problems, however, most of these algorithms implicitly assume that each quantity xi can take any real value within its range. In practice, some quantities are discrete: e.g., xi can describe the number of people. In this paper, we provide feasible algorithms for interval, set, and fuzzy computations for such discrete inputs. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/SMC.2013.61 | Systems, Man, and Cybernetics |
Keywords | Field | DocType |
x1 xn,quantity y,towards discrete interval,discrete input,fuzzy set y,quantity xi,fuzzy sets xi,intervals xi,possible value,interval computation,fuzzy computation,fuzzy computations,fuzzy set theory | Discrete mathematics,Combinatorics,Fuzzy set operations,Fuzzy logic,Fuzzy mathematics,Fuzzy set,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics,Computation | Conference |
ISSN | Citations | PageRank |
1062-922X | 0 | 0.34 |
References | Authors | |
3 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Enrique Portillo | 1 | 0 | 0.34 |
| Olga Kosheleva | 2 | 97 | 54.24 |
| Vladik Kreinovich | 3 | 1091 | 281.07 |