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Books

Papers

  • Croitoru, A.-A set-valued integral, Analele Stiintifice ale Univ. Al.I.Cuza Iasi, 44, 1998, 101-112.
  • Croitoru, A.-A Radon-Nikodym theorem for multimeasures, Analele Stiintifice ale Univ. Al.I.Cuza Iasi, 44, 1998, 395-402.
  • Precupanu, A.M., Croitoru,A.-A Gould type integral with respect to a multimeasure. I, Analele Stiintifice ale Univ. Al.I. Cuza Iasi, 48, 2002, 165-200.
  • Croitoru, A. - An integral for multifunctions with respect to a multimeasure, Analele Stiintifice ale Univ. Al.I. Cuza Iasi, 49, 2003, 95-106.
  • Precupanu, A.M., Croitoru, A.-A Gould type integral with respect to a multimeasure. II, Analele Stiintifice ale Univ. Al.I. Cuza Iasi, 49, 2003, 183-207.
  • Croitoru, A.-On a set-valued integral, Carpathian J. Math. 19, 2003, 41-50.
  • Croitoru, A., Godet-Thobie, C.Set-valued integration in seminorm. II, Analele Stiintifice ale Univ.Ovidius Constanta, 13, 2005, 55-66.
  • Croitoru, A.-Multivalued version of Radon-Nikodym theorem, Carpathian J. Math. 21, 2005, 27-38.
  • Croitoru, A., Godet-Thobie, C.Set-valued integration in seminorm. I, Annals of University of Craiova, Math. Comp. Sci Ser. 33, 2006, 16-25.
  • Croitoru, A.Lebesgue type convergence theorems, Studia Univ. Babes-Bolyai, Mathematica 52, 2007, 39-50.
  • Croitoru, A., Vaideanu, C.About pointwise measurable multifunctions, Analele Univ. de Vest Timisoara, 45(2007), 189-194.
  • Gavrilut, 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.
  • Gavrilut, A, Croitoru, A.Fuzzy multisubmeasures and applications, Proceedings of The 9th WSEAS International Conference on Fuzzy Systems (FS 08), 113-119.
  • Gavrilut, A, Croitoru, A.Non-atomicity for fuzzy and non-fuzzy multivalued set Functions, Fuzzy Sets and Systems, doi: 160(2009), 2106-2116.
  • Croitoru, A., Gavrilut, A. A Gould type set valued integral , Proceedings of 6-th Congres of Romanian Mathematicians, June 28-july 4, 2007, Bucharest, Romanian Academy Publishing House, 2008.
  • Gavrilut, 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.
  • Mastorakis, N.E., Gavrilut, A., Croitoru, A., Apreutesei, G.-On Darboux property of fuzzy multimeasures, Proceedings of the 10th WSEAS International Conference on Fuzzy Systems [FS09], Prague, Czech Republic, March 23-25, 2009, 54-58.
  • Croitoru A., Gavrilut A., Mastorakis N.E..-On different types of non-additive set multifunctions, WSEAS Transactions on Mathematics, 8 (2009), 246-257.
  • Croitoru A., Vaideanu C.-On pointwise measurability of multifunctions, An. St. Univ. Ovidius Constanta, 17 (2009), fasc.1, 69-76.
  • Croitoru A., Gavrilut A.-On order-continuous set multifunctions in Hausdorff topology, Matematychni Studii., 31(2009), 149-156.
  • Apreutesei G., Mastorakis N.E., Croitoru A., Gavrilut A.-Topological properties for the translation of a non-linear topology, Proceedings of the 8-th WSEAS International Conference on Non-Linear Analysis, Non-Linear Systems and Chaos (NOLASC 09), Tenerife, Canary Islands, Spain, July 1-3, 2009, 305-309.
  • Croitoru A., Gavrilut A., Mastorakis N.E.-On different types of convergences for sequences of totally-measurable function, Proceedings of the 9th WSEAS International Conference on Simulation, Modelling and Optimization (SMO 09), Budapest, Hungary, Sept. 3-5, 2009, 196-200.
  • Gavrilut A., Croitoru A., Mastorakis N.E.-Continuity properties of fuzzy set multifunctions, Proceedings of the 9th WSEAS International Conference on Simulation, Modelling and Optimization (SMO 09), Budapest, Hungary, Sep. 3-5, 2009, 201-206.
  • Apreutesei G., Mastorakis N.E., Croitoru A., Gavrilut A.-On the translation of an almost linear topology, WSEAS Trans. on Math. 8(2009), 479-488.
  • Precupanu A., Gavrilut A., Croitoru A.-A fuzzy Gould type integral, Fuzzy Sets and Systems, 161(2010), 661-680.
  • Gavrilut A., Croitoru A., Mastorakis N.E.-Measurability and Gould integrability in finitely purely atomic multisubmeasure spaces, WSEAS Trans. on Math. 8(2009), 435-444.
  • Croitoru A., Gavrilut A.-Properties of non-additive set multifunctions Analele Universitatii din Timisoara, Seria Matematica-Informatica, 47(2009), 9-20.
  • Gavrilut A., Croitoru A., Mastorakis N.E.-Finitely purely (pseudo)atomic set multifunctions, Proceedings of the European Computing Conference (ECC 09)/3rd International Conference on Computational Intelligence (CI 09), Tbilisi, Georgia, June 26-28, 2009, 103-108.
  • Croitoru A., Gavrilut A., Mastorakis N.E.-Convergence theorems for totally-measurable functions, WSEAS Transactions on Mathematics, Issue 10, Volume 8, October 2009, 614-623, ISSN 1109-2769.
  • Croitoru A., Gavrilut A.-Pseudo-atoms of fuzzy multisubmeasures, Proceedings of ICMI-2(2009), V. Alecsandri Univ. of Bacau, Faculty of Sciences, Scientific Studies and Research, Series Mathematics and Informatics, 19(2009), 185-196.
  • Gavrilut A., Croitoru A.-On totally-measurable functions, Proceedings of ICMI-2(2009), V. Alecsandri Univ. of Bacau, Faculty of Sciences, Scientific Studies and Research, Series Mathematics and Informatics, 19(2009), 275-288.
  • Croitoru A.-Fuzzy integrability of multifunctions, Proceedings of the 4th WSEAS International Conference on Computational Intelligence(CI'10),
    Bucharest, Romania, April 20-22, 2010, 80-84.
  • Gavrilut A., Croitoru A., Mastorakis N.-Fuzzy diffused set multifunctions, Proceedings of the 4th WSEAS International Conference on
    Computational Intelligence(CI'10), Bucharest, Romania, April 20-22, 2010, 148-153.
  • Gavrilut A., Croitoru A., Mastorakis N.E. – Null-additive fuzzy set multifunctions, Recent Advances in Neural Networks, Fuzzy Systems and Evolutionary Computing, Proceedings of the 11-th WSEAS International Conference on Fuzzy Systems (FS’10), “G. Enescu” University, Iasi, Romania, June 13-15, 2010, 225-229.
  • Gavrilut A., Croitoru A. – Pseudo-atoms and Darboux property for set multifunctions, Fuzzy Sets and Systems 161 (2010), 2897-2908.
  • Gavrilut A., Croitoru A., Mastorakis N.E. – Diffusion and semi-convexity of fuzzy set multifunctions, WSEAS Transactions on Mathematics, 9 (2010), 561-570.
  • Gavrilut A., Croitoru A.– Convergence theorems for a (set-valued) fuzzy integral, Aplimat Journal of Applied Mathematics, vol. 3 (2010), Number 1, 221-231.
  • Gavrilut A., Croitoru A.– Lp-spaces generated by a fuzzy Gould integral, Aplimat Journal of Applied Mathematics, vol. 3 (2010), Number 1, 233-243.
  • Croitoru A.- Set-norm continuity of set multifunctions, Romai Journal 6, 1(2010), 47-56.
  • A.Gavrilut, A.Croitoru – About L-infinity space for fuzzy measures, Recent Researches in Neural Networks, Fuzzy Systems, Evolutionary Computing & Automation, Proceedings of the 12-th WSEAS International Conference on Fuzzy Systems (FS’11), Brasov, Romania, April 11-13, 2011, 88-91.
  • Godet-Thobie C., Croitoru A.- A Radon-Nikodym type theorem, An. St. Univ. Ovidius Constanta, vol. 19(1), 2011, 145-160.
  • Croitoru A.- On a non-linear integral of multifunctions with respect to a fuzzy measure, Recent Researchers in Computational Techniques, Non-Linear Systems & Control (Proceedings of the 10-th WSEAS International Conference on Non-Linear Analysis, Non-Linear Systems and Chaos, NOLASC’11), Iasi, Romania, July 1-3, 2011, 79-84.

Conferences

  • On an integral with respect to a multimeasure, Celebration of Univ. Al.I. Cuza Iasi, Romania, October, 1995.
  • A set-valued integral, Celebration of Univ. Al.I. Cuza Iasi, Romania, October, 1996.
  • A Radon-Nikodym theorem for multimeasures, The First National Conference of Mathematical Analysis and Applications, Univ. Al.I. Cuza Iasi, Romania, October 22-26, 1997.
  • Gould type integral with respect to a multimeasure. I, Celebration of Univ. Al.I. Cuza Iasi, Romania, October 24, 1998.
  • On a set-valued integral, Celebration of Univ. Al.I. Cuza Iasi, Romania, October 27, 2001.
  • Set-valued integral with respect to a multimeasure valued in the family of subsets of an algebra, National Conference of Mathematical Analysis and Applications, Univ. Babes-Bolyai Cluj, Romania, November 8-9, 2002.
  • About a set-valued integral, Colloque Mesures de Young et Controle Stochastique, Brest, France, December 9-11, 2002.
  • A multivalued version of Radon-Nikodym theorem, International Scientifical Conference of North Univ. of Baia-Mare, Department of Mathematics, Baia-Mare, Romania, May 8-9, 2003.
  • Set-valued integral in locally convex algebra, Celebration of Univ. Al.I. Cuza Iasi, Romania, October 24, 2003.
  • A multivalued version of Radon-Nikodym theorem. II , Celebration of Univ. Al.I. Cuza Iasi, Romania, October 23, 2004.
  • Set-valued integral in Hausdorff locally convex vector spaces, National Conference of Mathematical Analysis and Applications, Craiova, Romania, September 23-24, 2005.
  • On a set-valued integral: theorem of Radon-Nikodym type, Celebration of Univ. Al.I. Cuza Iasi, Romania, October 28-29, 2005.
  • On measurable multifunctions (jointly with C. Vaideanu), Celebration of Univ. Al.I. Cuza Iasi, Romania, October 27-28, 2006.
  • Pointwise measurable multifunctions (jointly with C. Vaideanu), 8th National Conference of Mathematical Analysis and Applications, Timisoara, Romania, December 1-2, 2006.
  • A Gould type set-valued integral (jointly with A. Gavrilut), 6th Congress of Romanian Mathematicians, Bucuresti, Romania, June 28-July 4, 2007.
  • On the Darboux property in the multivalued case (jointly with A. Gavrilut), 9th National Conference of Mathematical Analysis and Applications, Iasi, Romania, October 26-27, 2007.
  • On pointwise measurability and approximate fixed points for multifunctions (jointly with C. Vaideanu), 9th National Conference of Mathematical Analysis and Applications, Iasi, Romania, October 26-27, 2007.
  • An extension by preserving non-atomicity of set multifunctions (jointly with A. Gavrilut), First National Conference of Pure and Applied Mathematics, Department of Mathematics, Technical University Gh. Asachi Iasi, Romania, November 9-10, 2007.
  • Fuzzy multisubmeasures and applications (jointly with A. Gavrilut), 9th WSEAS International Conference on Fuzzy Systems (FS-08), Sofia, Bulgaria, May 2-4, 2008.
  • On order-continuous set multifunctions in Hausdorff topology (jointly with A. Gavrilut), International Conference of Analysis and Topology, Lviv, Ukraine, June 2-7, 2008.
  • Decompositions by pseudo-atoms of fuzzy multifunctions in Hausdorff topology (jointly with A. Gavrilut), VII Iberoamerican Conference on Topology and Its Applications, Valencia, Spain, June 25-28, 2008.
  • On a generalized Gould type set-valued integral (jointly with A. Precupanu and A. Gavrilut), 3rd International Conference on Vector Measures, Integration and Applications (VMIA), Eichstatt, Germany, September 24-26, 2008.
  • Relationships among fuzzy multimeasures and other types of set multifunctions (jointly with A. M. Precupanu and A. Gavrilut), Celebration of Univ. Al.I. Cuza Iasi, Romania, October 17, 2008.
  • Atoms and pseudo-atoms of set multifunctions (jointly with A. Gavrilut), Celebration of Univ. Al.I. Cuza Iasi, Romania, October 17, 2008.
  • On Darboux property of fuzzy multimeasures (jointly with Mastorakis, N., Gavrilut, A., Apreutesei, G.), 10th WSEAS International Conference on Fuzzy Systems [FS-09], Prague, Czech Republic, March 23-25, 2009.
  • Semi-convex set multifunctions (jointly with A. Gavrilut), International Conference Infinite Dimensional Analysis and Topology, Yaremche (Ivano-Frankivsk), Ukraine, May 27June 1, 2009.
  • Finitely purely (pseudo)atomic set multifunctions (jointly with A. Gavrilut, 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.
  • Topological properties for the translation of a non-linear topology (jointly with G. Apreutesei, A. Gavrilut, 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.
  • On atoms and pseudo-atoms of set multifunctions (jointly with C. Stamate, A. Gavrilut, B. Satco), Positivity VI, El Escorial, Madrid, Spain, July 20-24, 2009.
  • Continuity properties of fuzzy set multifunctions (jointly with A. Gavrilut, N.E. Mastorakis), The 9th WSEAS International Conference on Simulation, Modelling and Optimization (SMO 09), Budapest, Hungary, Sept. 3-5, 2009.
  • On different types of convergences for sequences of totally-measurable functions (jointly with A. Gavrilut, N.E. Mastorakis), The 9th WSEAS International Conference on Simulation, Modelling and Optimization (SMO 09), Budapest, Hungary, Sept. 3-5, 2009.
  • Pseudo-atoms of fuzzy multisubmeasures (jointly with A. Gavrilut), The 2-nd International Conference on Mathematics and Informatics (ICMI), Bacau, Romania, Sept. 8-10, 2009.
  • On totally-measurable functions (jointly with A. Gavrilut), The 2-nd International Conference on Mathematics and Informatics (ICMI), Bacau, Romania, Sept. 8-10, 2009.
  • Set-norm continuity of set multifunctions, The 17-th Conference on Applied and Industrial Mathematics (CAIM 2009), Constanta, Romania, Sept. 17-20, 2009.
  • About a set-valued fuzzy integral, Celebration of Univ. Al.I. Cuza Iasi, Romania, October 23-24, 2009.
  • Properties of totally-measurable functions (jointly with A. Gavrilut), Celebration of Univ. Al.I. Cuza Iasi, Romania, October 23-24, 2009.
  • Mathematics=Science+Philosophy+Means of modelling and knowledge of the world, of life quality improvement (in Romanian), Celebration of Univ. Al.I. Cuza Iasi, Romania, October 23-24, 2009.
  • The 4th WSEAS International Conference on Computational Intelligence(CI'10), Bucharest, Romania, April 20-22, 2010, with lectures: Fuzzy type set-valued integrals(Plenary Speaker), Fuzzy integrability of multifunctions and Fuzzy diffused set multifunctions(jointly with A.Gavrilut and N.Mastorakis).
  • Null-additive fuzzy set multifunctions (jointly with A. Gavrilut and N.E. Mastorakis), The 11-th WSEAS International Conference on Fuzzy Systems (FS’10), Iasi, Romania, June 13-15, 2010.
  • Properties of a fuzzy type integral, “Alexandru Myller” Mathematical Seminar Centennial Conference, Iasi, Romania, June 21-26, 2010.
  • About L-infinity in non-additive case (jointly with A. Gavrilut), The 18-th Conference on Applied and Industrial Mathematics (CAIM-2010), Iasi, Romania, October 14-17, 2010.
  • About L-infinity space for fuzzy measures (jointly with A.Gavrilut), The 12-th WSEAS International Conference on Fuzzy Systems (FS’11), Brasov, Romania, April 11-13, 2011.
  • Convergence properties of a non-linear integral for measurable multifunctions, “Gheorghe Vranceanu” National Conference on Mathematics and Informatics with international participation, Bacau, Romania, May 26-28, 2011.
  • Integral of measurable multifunctions with respect to a monotone measure, The 7-th Congress of Romanian Mathematicians, June 29-July 5, 2011, Brasov, Romania.
  • On a non-linear integral of multifunctions with respect to a fuzzy measure, The 10-th WSEAS International Conference on Non-Linear Analysis, Non-Linear Systems and Chaos (NOLASC’11), Iasi, Romania, July 1-3, 2011.
  • Convergence properties for sequences of measurable multifunctions, The 26-th British Topology Meeting, Edinburgh, United Kingdom, September 1-3, 2011.
  • Convergence in fuzzy measure for measurable multifunctions, The 19-th Conference on Applied and Industrial Mathematics (CAIM – 2011), Iasi, Romania, September 22-25, 2011.
  • Remarks on the space of measurable multifunctions, Celebration of Univ. Al.I. Cuza Iasi, Romania, October 28, 2011.

Seminar On Measure Theory And Optimization,

coordinated by Prof. Dr. Anca Precupanu and Prof. Dr. Teodor Precupanu :

2009

  • March 10, 2009-A. Croitoru-Non-additive set multifunctions.
  • March 17, 2009-A. Gavrilut-Non-atomic multifunctions. I.
  • March 24, 2009-A. Gavrilut- Non-atomic multifunctions. II.
  • April 7, 2009-G. Apreutesei-Topologies on set spaces. I.
  • April 28, 2009- G. Apreutesei- Topologies on set spaces. II.
  • May 12, 2009-A. Precupanu-On Egorov type conditions in non-additive measures case.I
  • May 26, 2009-A. Precupanu-On Egorov type conditions in non-additive measure case.II
  • November 13, 2009-A. Croitoru-Continuous set multifunctions.
  • November 27, 2009-G. Apreutesei-Bound conditions in study of hypertopologies.
  • December 11, 2009-M. Apetrii-Scott topology and its applications.