Name
Title | ||
|---|---|---|
Generalized pseudo-convolution in the theory of probabilistic metric spaces, information, fuzzy numbers, optimization, system theory |
Abstract | ||
|---|---|---|
A notion of the generalized pseudo-convolution of functions based on pseudo-operations is introduced. It is proved that such general pseudo-convolution is commutative, associative operation that, in some cases, has a unit element. We present that the generalized pseudo-convolution occurs as a basic notion in many different theories as probabilistic metric spaces, information theory, fuzzy numbers, optimization, system theory. (C) 1999 Elsevier Science B.V. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1016/S0165-0114(98)00214-0 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
measure theory,pseudo-addition,pseudo-multiplication,decomposable measure,g-integral,pseudo-integral,pseudo-convolution,fuzzy numbers,optimization | Information theory,T-norm,Discrete mathematics,Algebra,Commutative property,Probabilistic number theory,Probabilistic logic,Metric space,Generalized function,Fuzzy number,Mathematics,Calculus | Journal |
Volume | Issue | ISSN |
102 | 3 | 0165-0114 |
Citations | PageRank | References |
14 | 1.48 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Endre Pap | 1 | 921 | 91.69 |
| Ivana Štajner-Papuga | 2 | 65 | 6.80 |