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- Anna Kolesárová, Doretta Vivona
- Kybernetika
- 2001

Entropy of T-sums and T-products of L-R fuzzy numbers Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This paper has been digitized, optimized for electronic delivery and stamped with digital… (More)

- Pietro Benvenuti, Doretta Vivona, Maria Divari
- IPMU
- 1990

In this paper we introduce a general definition of an information measure for fuzzy sets and we study its main properties. Then we describe a procedure to c~end any information measure from a a-algebra of ordinary sets to the ~-algebra of fuzz~/ sets of the same space.

- Pietro Benvenuti, Doretta Vivona, Maria Divari
- International Journal of Uncertainty, Fuzziness…
- 2001

The natural properties of the aggregation operators and the most elementary ones are the idempotence, the monotonicity and the continuity from below. We assume only these properties for the aggregation operators with infinitely many inputs, defined by functionals on the family of measurabe functions. A family of fuzzy measures is associated with each… (More)

- Pietro Benvenuti, Doretta Vivona, Maria Divari
- EUSFLAT-ESTYLF Joint Conf.
- 1999

We consider the aggregation operators which are ⊕-additive for commonotone functions. The main result is that any operator is expressed by a kind of general fuzzy integral which uses a family of fuzzy measures connected by a ⊕-additive Cauchy’s equations. In particular, the family of fuzzy measures can be obtained by a ⊕-fitting pseudomultiplication. In… (More)

- Doretta Vivona, Ivana Stajner-Papuga
- 2008 6th International Symposium on Intelligent…
- 2008

The superposition principle is a useful tool for constructing new solutions of ordinary and partial differential equations. Therefore, through this paper, we are considering the pseudo-linear superposition principle based on generated pseudo-operations of the following form: x oplus y = g<sup>-1</sup> (g(x) + g(y)) , x odot y = g<sup>-1</sup> (g(x)g(y)) ,… (More)

- Doretta Vivona, Maria Divari
- International Journal of Uncertainty, Fuzziness…
- 2011

- Doretta Vivona, Ivana Stajner-Papuga, Tatjana Grbic, Gabrijela Grujic, Mirjana Strboja, Biljana P. Mihailovic
- 2011 IEEE 9th International Symposium on…
- 2011

The aim of this paper is to study sustainability of the pseudo-linear superposition principle, that is, of the nonlinear superposition principle (NLSP) observed in the pseudo-analysis' framework and to discuss some possible extensions.

- Doretta Vivona, Maria Divari
- IPMU
- 2012

- Endre Pap, Doretta Vivona
- IEEE 8th International Symposium on Intelligent…
- 2010

In this paper we present some applications of pseudo-analysis in the theory of fluid mechanics. There is proved the monotonicity of the components of the velocity for the solutions of Euler equations. This help to prove the pseudo-linear superposition principle for Euler equations. The superposition principle is proven also for the Navier-Stokes equations… (More)

- Tatjana Grbic, Mirjana Strboja, Ivana Stajner-Papuga, Doretta Vivona, Biljana P. Mihailovic
- IEEE 8th International Symposium on Intelligent…
- 2010

The set-valued function in general is an important mathematical notion that plays a crucial role in several practical areas. Also, the Jensen integral inequality is a significant mathematical tool that has applications in many areas, such as statistics, statistical physics, information theory, etc. Since the pseudo-analysis is, as well, a theory of the vast… (More)