A., Apreutesei, G., Regularity aspects of non-additive set multifunctions, Fuzzy Sets and Systems Journal, 2016, DOI:10.1016/j.fss.2016.02.003.
32. Agop, M., Gavriluţ, A.,
Păun, V.P.,
Filipeanu, D., Luca, F.A.,
Grecea, C., Topliceanu, L., Fractal Information by Means of Harmonic
Mappings and Some Physical Implications, Entropy, 18 (5),
2016, 160; DOI:10.3390/e18050160.
Scientific papers published in extenso in BDI indexed
journals:
1. Gavriluţ A., Properties of
regularity for multisubmeasures, An. Şt. Univ. Iaşi Mat., L,
s. I a, 2004, f. 2, 373- 392.
2. Gavriluţ A., Regularity and
o-continuity for multisubmeasures, An. Şt. Univ. Iaşi Mat., L, s. I
a, 2004, f. 2, 393-406.
3. Gavriluţ A., K-tight
multisubmeasures, K-D-regular multisubmeasures, An. Şt. Univ. Iaşi Mat.,
LI, s. I a, 2005, f. 2, 387-404.
4. Gavriluţ A., On some
properties of the Gould type integral with respect to a multisubmeasure,
An. Şt. Univ. Iaşi Mat., 52, 2006, no.1, 177-194.
5. Gavriluţ A., Properties of
regularity for multisubmeasures with respect to the Vietoris topology, An.
Şt. Univ. Iaşi Mat., 2006, LII, s. I, 389-400.
6. Gavriluţ A., Petcu A., A
Gould type integral with respect to a submeasure, An. Şt. Univ. Iaşi Mat.,
LIII, 2007, f. 2, 351-368.
7. Gavriluţ A., Croitoru A., An
extension by preserving non-atomicity of set multifunctions, Buletinul
Institutului Politehnic din Iasi, Sectia Matematica. Mecanica teoretica.
Fizica, Tomul LIII (LVII), Fasc. 5, 2007, 111-119.
8. Gavriluţ A., Petcu A., Some
properties of the Gould type integral with respect to a submeasure, Bul. Instit. Pol. Iasi,
Mathematics. Theoretical Mechanic. Physics, LIII (LVII), 5, 2007, 121-131.
9. Gavriluţ A., Types of
extensions for multisubmeasures, An. St. Univ. Iasi, LIV, 2008, f.1,
65-74.
10. Gavriluţ A., Regularity of
multisubmeasures with respect to the Wijsman topology, Novi Sad Journal,
Vol. 38, no 2, 2008, 41-46.
11. Gavriluţ A., Croitoru A. - On
the Darboux property in the multivalued case, Annals of the University of
Craiova, Mathematics and Computer Sciences 35 (2008), 130-138.
12. Croitoru A., Gavriluţ A., Mastorakis N.E. - On
different types of non-additive set multifunctions, WSEAS Transactions on
Mathematics 8 (2009), 246-257.
13. Gavriluţ A., A set-valued
Lusin type theorem, The 2-nd International Conference on Mathematics and
Informatics (ICMI), Scientific Studies and Research, Series Mathematics and
Informatics,
Proceedings of ICMI 2 (2009), Vol. 19 (2009), no. 2, 265-274.
14. Croitoru A., Gavriluţ A. - On
order-continuous set multifunctions in Hausdorff topology, Matematychni
Studii 31 (2009), 149-156.
15. Apreutesei G.,
Mastorakis N.E., Croitoru A., Gavriluţ A. - On the translation of an almost linear
topology, WSEAS Transactions on Mathematics 8 (2009), 479-488.
16. Gavriluţ A., Croitoru A.,
Mastorakis N.E. - Measurability and Gould integrability in finitely purely
atomic multisubmeasure spaces, WSEAS Transactions on Mathematics 8 (2009),
435-444.
17. Croitoru A., Gavriluţ A. - Properties of
non-additive set multifunctions, An. Univ. din Timisoara, Seria
Matematica-Informatica 47 (2009), 9-20.
18. Croitoru A., Gavriluţ A., Mastorakis N.E. - Convergence
theorems for totally-measurable functions, WSEAS Transactions on
Mathematics Volume 8, Issue 10 (2009), 614-623.
19. Gavriluţ A., Croitoru A.,
Mastorakis N.E. - Diffusion and semi-convexity of fuzzy set multifunctions,
WSEAS Trans. on Math. 9 (2010), 561-570.
20.
Gavriluţ A., Semivariation
and exhaustivity of set multifunctions, Scientific Studies and Research,
Series Mathematics and Informatics, Vol. 20 (2010), no. 1, 61 - 82.
21.
Gavriluţ A., Croitoru A., Convergence
theorems for a (set-valued) fuzzy integral, Aplimat Jornal of Applied
Mathematics, Vol. 3 (2010), Number 1, 221-231.
22.
Gavriluţ A., Croitoru A., Lp-spaces
generated by a fuzzy Gould integral, Aplimat Jornal of Applied Mathematics,
Vol. 3 (2010), Number 1, 233-243.
23. Gavriluţ A., Croitoru A.,
Classical theorems for a Gould type integral, (jointly with A. Croitoru),
WSEAS Transactions on Mathematics, Issue 5, Vol. 11 (2012), 421-433.
24. Crumpei G., Gavriluţ A., Agop M., Crumpei I., Negură
L., Grecu I., New Mathematical and Theoretical Foundation in Human Brain
Research. An interdisciplinary approach in a transdisciplinary world, Human
and Social Studies, Vol. 3, no. 1 (2014), 45-58.
25. Crumpei G., Gavriluţ A., Agop M., Crumpei I., An
Exercise in a Transdisciplinary Approach for New Knowledge Paradigms, Human
and Social Studies, Vol. 3, no. 3 (2014), 114-143.
26.
Crumpei
G., Gavriluţ A., Agop M., Crumpei I., Negură
L., Grecu I., Spaţiul imaginar din perspectiva sistemelor complexe,
Philologica Jassyensia, X, No. 1 (19), 2014, Suppl, 617-626.
27. Crumpei G., Agop M., Gavriluţ A., Crumpei I., A transdisciplinary approach on Holy Trinity, European Journal of Science and Theology, 2015, Vol. 11, No. 3, 149-158.
28. Agop M., Gavriluţ A., Crumpei G., Gavriluţ G., On a new possible class of cellular neural network, Proceedings of the 11th International Conference CONSTRUCTIVE AND TECHNOLOGICAL DESIGN OPTIMIZATION IN THE MACHINES BUILDING FIELD OPROTEH - 2015 Bacău, June 4th - 6th, 2015, in print.
29. Gavriluţ, A., Agop, M., Crumpei G., Gavriluţ, G., Approximation properties from a mathematical-physical perspective and possible correlations with the neuronal network fractality, Proceedings of the 11th International Conference CONSTRUCTIVE AND TECHNOLOGICAL DESIGN OPTIMIZATION IN THE MACHINES BUILDING FIELD OPROTEH - 2015 Bacău, June 4th - 6th, 2015, in print.
30. Crumpei G., Gavriluţ A., Agop M., Crumpei Tanasă I., Gavriluţ G., The need for a transdisciplinary approach to explain human brain structure and functioning mechanisms, Bulletin of Integrative Psychiatry,Vol. 4, Issue 67, 15-22.
31. Croitoru A., Gavriluţ A., Iosif A., Birkhoff weak integrability of multifunctions, International Journal of Pure Mathematics 2 (2015), 47-54.
32. G. Crumpei, A. Gavriluţ, M. Agop, I. Crumpei Tanasă, G. Gavriluţ, New Paradigms on Information, Reality and Mind, Human and Social Studies, V.1 (2016), DOI: 10.1515/hssr -2016-0008, 135-148.
33. Butuc, I., Gavriluţ A., Gavriluţ G., Duceac, L.D., Differentiable and non-differentiable cellular neural networks with implication in the bacterial growth process. Properties (II), Bul. Pol. Iaşi, Vol. 62 (66), No 1, 2016, 77-84.
34. Gavriluţ A., Constantin, B., Gavriluţ G., Agop, M., Approximation properties from a mathematical-physical perspective. Possible correlations with the neuronal network fractality, Bul. Pol. Iaşi, Vol. 62 (66), No 1, 2016, 9-22.
35. Crumpei, G., Gavriluţ A., Constantin, T., On a new possible class of cellular neural network, Bul. Pol. Iaşi, Vol. 62 (66), No 1, 2016, 23-32.
Participari la conferinte
1. Properties of regularity
for multisubmeasures, Celebration
of Al.I. Cuza University from Iaşi, Romania, October, 2003.
2. A Gould type integral
with respect to a multisubmeasure, Celebration of Al.I. Cuza
University from Iaşi, Romania, October, 2004.
3. Sequences of Gould
integrable functions with respect to a multisubmeasure, Celebration of Al.I.
Cuza University from Iaşi, Romania, October, 2005.
4. Regularity and order
continuity for multisubmeasures - Celebration of Univ. Al.I. Cuza University from
Iaşi, Romania, October, 2006.
5. A Gould type set-valued
integral
(jointly with A. Croitoru), 6th Congress of Romanian Mathematicians, Bucuresti,
Romania, June 28-July 4, 2007.
6. On the Darboux property
in the multivalued case (jointly
with A. Croitoru), 9th National Conference of Mathematical Analysis and
Applications, Iasi, Romania, October 26-27, 2007.
7. A Gould type integral
with respect to a submeasure (jointly with A. Petcu) - 9th National
Conference of Mathematical Analysis and Applications, Iaşi, Romania, October
26-27, 2007.
8. Properties of regularity
with respect to the Vietoris topology for multisubmeasures 9th National
Conference of Mathematical Analysis and Applications, Iaşi, Romania, October
26-27, 2007.
9. Some properties of the
Gould type integral with respect to a submeasure (jointly with A. Petcu) - First
National Conference of Pure and Applied Mathematics, Department of Mathematics,
Technical University Gh. Asachi Iaşi, Romania, November 9-10, 2007.
10. An extension by
preserving non-atomicity of set multifunctions (jointly with A. Croitoru), First
National Conference of Pure and Applied Mathematics, Department of Mathematics,
Technical University Gh. Asachi Iasi, Romania, November 9-10, 2007.
11. Fuzzy
multisubmeasures and applications (jointly with A. Croitoru), 9th WSEAS
International Conference on Fuzzy Systems (FS-08), Sofia, Bulgaria, May 2-4,
2008.
12. On order-continuous set
multifunctions in Hausdorff topology (jointly with A. Croitoru),
International Conference of Analysis and Topology, Lviv, Ukraine, June 2-7, 2008.
13. Decompositions by
pseudo-atoms of fuzzy multifunctions in Hausdorff topology (jointly with A.
Croitoru), VII Iberoamerican Conference on Topology and Its Applications,
Valencia, Spain, June 25-28, 2008.
14. On a generalized Gould
type set-valued integral
(jointly with A. Precupanu and A. Croitoru), 3rd International Conference on
Vector Measures, Integration and Applications (VMIA), Eichstatt, Germany,
September 24-26, 2008.
15. Relationships among
fuzzy multimeasures and other types of set multifunctions (jointly with A. M.
Precupanu and A. Croitoru), Zilele Univ. Al.I. Cuza Iasi, Romania, October 17,
2008.
16. Atoms and pseudo-atoms
of set multifunctions
(jointly with A. Croitoru), Zilele Univ. Al.I. Cuza Iasi, Romania, October 17,
2008.
17. Regular non-atomic set
multifunctions,
Celebration of Al.I. Cuza University from Iaşi, Romania, October, 2008.
18. On Darboux property of
fuzzy multimeasures
(jointly with Mastorakis, N., Croitoru, A., Apreutesei, G.), 10th WSEAS
International Conference on Fuzzy Systems (FS-09), Prague, Czech Republic,
March 23-25, 2009.
19.
Regularity for set multifunctions
in Hausdorff topology, Infinite Dimensional Analysis and
Topology, IDAT, Yaremche, Ukraine, 27 May-1 June, 2009.
20. Semi-convex set
multifunctions
(jointly with A. Croitoru), International Conference Infinite Dimensional
Analysis and Topology, Yaremche (Ivano-Frankivsk), Ukraine, May 27June 1, 2009.
21. On
regular multisubmeasures and their applications (jointly with N.
Mastorakis), WSEAS Computational Intelligence Conference, Iv.
Javakhishvili Tbilisi State University, Tbilisi, Georgia, June 26-28, 2009.
22. Finitely purely
(pseudo)atomic set multifunctions (jointly with A. Croitoru, N.E. Mastorakis), 2nd
WSEAS International Conference on Finite Differences-Finite Elements-Finite
Volumes-Boundary Elements (F-and-B' 09), Tbilisi, Georgia, June 26-28, 2009.
23. Topological properties
for the translation of a non-linear topology (jointly with G. Apreutesei, A.
Croitoru, N.E. Mastorakis), 8th WSEAS International Conference of Non-linear
Analysis, Non-linear Systems and Chaos (NOLASC' 09), University of La Laguna,
Tenerife, Canary Islands, Spain, July 1-3, 2009.
24. On atoms and
pseudo-atoms of set multifunctions (jointly with C. Stamate, A. Croitoru, B. Satco),
Positivity VI, El Escorial, Madrid, Spain, July 20-24, 2009.
25. Continuity properties of
fuzzy set multifunctions
(jointly with A. Croitoru, N.E. Mastorakis), The 9th WSEAS International
Conference on Simulation, Modelling and Optimization (SMO 09), Budapest,
Hungary, Sept. 3-5, 2009.
26. On different types of
convergences for sequences of totally-measurable functions (jointly with A.
Croitoru, N.E. Mastorakis), The 9th WSEAS International Conference on Simulation,
Modelling and Optimization (SMO 09), Budapest, Hungary, Sept. 3-5, 2009.
27. Pseudo-atoms of fuzzy
multisubmeasures
(jointly with A. Croitoru), The 2-nd International Conference on Mathematics
and Informatics (ICMI), Bacau, Romania, Sept. 8-10, 2009.
28. A set-valued Lusin type
theorem, The
2-nd International Conference on Mathematics and Informatics
(ICMI), Bacău, Romania, September 8-10, 2009.
29. On
totally-measurable functions (jointly with A. Croitoru), The 2-nd
International Conference on Mathematics and Informatics (ICMI), Bacau, Romania,
Sept. 8-10, 2009.
30. Properties of
totally-measurable functions (jointly with A. Croitoru), Zilele Univ. Al.I. Cuza
Iasi, Romania, October 23-24, 2009.
31. Gould type integrability
on atoms,
Celebration of Al.I. Cuza University from Iaşi, Romania, October 23-24, 2009.
32. Non-atomic set
multifunctions, WSEAS
Conference on Computational Intelligence (CI 10), Bucharest, Romania, April
20-22, 2010.
33. Fuzzy integrability of
multifunctions
and Fuzzy diffused set multifunctions (jointly with A.Croitoru and
N.Mastorakis), the 4th WSEAS International Conference on Computational
Intelligence(CI'10), Bucharest, Romania, April 20-22, 2010.
34. Null-additive fuzzy set
multifunctions
(jointly with A. Croitoru and N.E. Mastorakis), The 11-th WSEAS International
Conference on Fuzzy Systems (FS10), Iasi, Romania, June 13-15, 2010.
35. About L-infinity in
non-additive case
(jointly with A. Croitoru), The 18-th Conference on Applied and Industrial
Mathematics (CAIM-2010), Iasi, Romania, October 14-17, 2010.
36. About L-infinity space
for fuzzy measures
(jointly with A.Croitoru), The 12-th WSEAS International Conference on Fuzzy
Systems (FS'11), Brasov, Romania, April 11-13, 2011.
37. Fundamental theorems
regarding convergences and pseudo convergences with respect to non-additive
set multifunctions
(jointly with A. Precupanu), Celebration
of Al.I. Cuza University from Iaşi, Romania, October, 2011.
38. Considering Gould
integrable functions
(jointly with A. Croitoru), The 4-th International Scientific Conference Mathematics
& IT: Research and Education (MITRE-2013) Chişinău, Republic of Moldova,
August 19-21, 2013.
39. Considerations on Gould
integrable multifunctions (jointly
with A. Croitoru), The 16-th General Meeting of EWM (European Women in
Mathematics), Bonn, Germany, September 2-6, 2013.
40. Remarks on Birkhoff
integrability
(jointly with A. Croitoru), CAIM Conference, Bucharest, 2013.
41. Continuity
properties in hypertopologies, CAIM Conference, Bucharest, 2013.
42. Lusin theorem in
Vietoris topology,
International Conference on Applied and Pure Mathematics, November 1-3, 2013,
Iaşi.
43. Properties of a Gould
type
set-valued integral
(jointly
with A. Croitoru and D. Borş), International Conference on Applied and Pure
Mathematics, November 1-3, 2013, Iaşi.
44. Continuity properties
for set multifunctions in Wijsman topology (jointly with G. Apreutesei),
International Conference on Applied and Pure Mathematics, November 1-3, 2013,
Iaşi.
45. Set-valued integration
in spaces with set-norm
(jointly with A. Croitoru and D. Bors), Celebration of Al.I. Cuza University
from Iaşi, Romania, October, 2013.
46. Continuity
properties in different hypertopologies for non-additive set multifunctions, International Conference
"Mathematics Days in Sofia" July 7-10, 2014, Sofia, Bulgaria.
47. Comparison results on
Gould integral
(jointly with A. Croitoru), The 22nd Conference on Applied and Industrial
Mathematics CAIM 2014 September 18-21, 2014, Bacău.
48. Remarks on the Gould
integral in Banach lattices
(jointly with A. Croitoru and A.E. Iosif), The 22nd Conference on Applied and
Industrial Mathematics CAIM 2014 September 18-21, 2014, Bacău.
49. De la fizica cuantică la
neuroştiinţe
(jointly with G. Crumpei, L. Negură, M. Agop, P. Filimon, E. Roşcan, B.
Şurubaru, E. Şurubaru, I. Crumpei, I. Grecu), Conferinţa de psihiatrie
comunitară şi reabilitare psihosocială, Cāmpulung Moldovenesc, 11-14 iulie,
2013.
50. Spaţii imaginare din
perspectiva creierului fractal (jointly with G. Crumpei, M. Agop, I. Crumpei, L.
Negură, I. Grecu), The International Conference Image, Imaginary,
Representation, May 8-9, 2014 Bacău, Romānia.
51. The imaginary space from
the complex systems perspective (jointly with G. Crumpei, M. Agop, I. Crumpei, L.
Negură, I. Grecu), 1st International Conference Perspectives in the
Humanities and Social Sciences: Hinting at interdisciplinarity, Iaşi, Romānia,
23-24 Mai, 2014.
52. Anomalies in the
Schumann spectrum induced by seismic waves (jointly with M. Agop, G.
Crumpei), ICNAR 2014 Conference, Bacău, 4‐7 June, 2014.
53. Teoria sistemelor
complexe (jointly with G.
Crumpei, L. Negură, M. Agop, P. Filimon, E. Roşcan, B. Şurubaru, E. Şurubaru,
I. Crumpei, I. Grecu),
Şcoala de Vară Joshua Bierer, Cāmpulung Moldovenesc, 29 Iunie - 3 Iulie, 2014.
54. Teoria sistemelor complexe - noua paradigmă
pentru neuroştiinţe (jointly with G. Crumpei, L. Negură, M. Agop, P. Filimon, E. Roşcan,
B. Şurubaru, E. Şurubaru, I. Crumpei, I. Grecu), Conferința Aniversară Joshua Bierer - 50 de ani de la
fondarea Organizației Mondiale de
Psihiatrie Socială,
Cāmpulung Moldovenesc, 4-6 Iulie, 2014.
55. Sisteme complexe din
perspectiva funcţiilor complexe (jointly with G. Crumpei, M. Agop, I. Crumpei, L.
Negură), The 22nd Conference on Applied and Industrial Mathematics CAIM 2014,
September 18-21, Bacău, 2014.
56. An approach on information
from topological view
(jointly with G. Crumpei, M. Agop, I. Crumpei), the 8th Chaos 2015
International Conference, Paris, France, 26-29 May, 2015.
57. Brain functionality via
complex systems theory
(jointly with G. Crumpei, M. Agop, I. Crumpei), the 8th Chaos 2015
International Conference, Paris, France, 26-29 May, 2015.
58.
On
a new possible clas of cellular neural network (jointly with M. Agop, G. Crumpei,
G. Gavriluţ), The
11th International Conference CONSTRUCTIVE AND TECHNOLOGICAL DESIGN OPTIMIZATION IN THE MACHINES
BUILDING FIELD OPROTEH - 2015 Bacău, June 4th - 6th, 2015.
59.
Approximation
properties from a mathematical-physical perspective and possible correlations
with the neuronal network fractality (jointly with M. Agop, G. Crumpei, G. Gavriluţ), The 11th International Conference CONSTRUCTIVE AND TECHNOLOGICAL DESIGN OPTIMIZATION IN THE MACHINES
BUILDING FIELD OPROTEH - 2015 Bacău, June 4th - 6th, 2015.
60.
Birkhoff
weak integrability of multifunctions (jointly with A. Croitoru, A. Iosif),
The 2015 International Conference on Pure Mathematics, Applied Mathematics and
Computational Mathematics (PMAMCM 2015), Zakynthos Island, Greece, July 16-20.
61. The role of the
informational energy in wave-particle duality (jointly with M. Agop, G. Crumpei),
CAIM 2015, 17th -20th September, 2015, Suceava.
62. Considerations on the
problem of atomicity in non-additive set-valued integrability (jointly with A.
Croitoru), CAIM 2015, 17th -20th September, 2015, Suceava.
63. An Approach on
Information from Topological View via Complex Systems Theory (poster) (jointly with M.
Agop, G. Crumpei, I. Crumpei Tanasă), The Information Universe Conference,
October 7-9, 2015, Groningen, Netherlands.
64. O abordare a psihopatologiei
dintr-o perspectivă transdisciplinară (workshop) (jointly with G.
Crumpei, M. Agop, I. Crumpei Tanasă), Conferința Națională Aniversară de Psihiatrie
,,Socola - 110 ani de excelență în psihiatrie" Iași 8-11 Octombrie, 2015.
65. De la creierul holografic
la creierul fractal. Modele fizico-matematice pentru o nouă epistemologie în
neuroştiinţe
(jointly with G. Crumpei, M. Agop, I. Crumpei Tanasă), International Conference
on Applied Psychology, Iaşi, 22-24 Octombrie, 2015.
66. Rezultate din teoria integrabilităţii
multivoce
(jointly with A. Croitoru), Zilele Universității "Alexandru Ioan Cuza" din Iași, 23 octombrie.
67. A new paradigm in
neuroscience: from holography to fractality in human brain research (jointly with G.
Crumpei, M. Agop), Lights of the World 30th October - 1st November 2015
Bucharest - Palace of the Parliament, 2015.
68. Considerations on
Birkhoff set-valued integrability (jointly with A. Croitoru, A. Iosif), International
Conference on APPLIED AND PURE MATHEMATICS (ICAPM 2015) 4th Edition,
November 6 - 8, 2015.
69. The Mathematics of
axiomatic systems in the cognitive perception of reality (jointly with G. Crumpei, G. Gavriluţ), SGEM Vienna,
6-9 April, 2016, Austria.
70. Mathematics and reality,
complex space and real space
(jointly with G.
Crumpei), SGEM
Vienna, 6-9 April, 2016, Austria.
71. Information as
ontological category, together with substance and energy (jointly with G. Crumpei, I. Crumpei Tanasă), SGEM Vienna, 6-9 April,
2016, Austria.
72. Informational topology, to
integrate reality
(jointly with G.
Crumpei, I. Crumpei Tanasă), SGEM Vienna, 6-9 April,
2016, Austria.
73. The mathematic models of
axiomatic systems in the cognitive perception of reality and intercultural
relations (jointly
with G.
Crumpei, G. Gavriluţ, I. Crumpei Tanasă), Perspectives in the Humanities
and Social Sciences: Hinting at Interdisciplinarity, Iași, Romania 19-20 May 2016.
74. Fizica cuantica si noile
ei paradigme
(jointly with M. Agop and G. Crumpei), Piatra Neamt, mai, 2016.
75. Un exercitiu de abordare
transdisciplinara a artei
(jointly
with G. Crumpei),
iunie,
Iasi, 2016.
76. The Birkhoff weak
integral of real functions with respect to a multimeasure (jointly with A.
Croitoru and A.E. Iosif), The 2016 International Conference on Pure Mathematics, Applied
Mathematics
and Computational Methods (PMAMCM - 2016), Corfu Island, Greece,
July 14-17, 2016.