Research interests

Map of my research interests
Map of my research interests.

Submitted preprints

  1. Fuzzy OWL 2 Reasoning: A Re-Engineered Python Framework (with F. Bobillo, G. Filippone, U. Straccia, and M. E. Tabacchi), submitted, arXiv:2606.19392
  2. Biderivations of Lie algebras under finite field extensions (with A. Di Bartolo and F. P. Di Fatta)
  3. A geometric point of view on biderivations (with A. Dioguardi Burgio and M. Galici)
  4. On Lie-holomorphs of Leibniz algebras (with M. Mancini), arXiv:2512.19276
  5. An Application of Fuzzy Set Theory and Interval-Based Distances for Expert Judgment Aggregation (with G. Failla and M. E. Tabacchi), preprint
  6. Biderivations of complete Leibniz algebras (with A. Di Bartolo and F. P. Di Fatta), arXiv:2510.16426
  7. A Lie Bracket on the Space of (Right) Biderivations of a Lie Algebra (with A. Di Bartolo), arXiv:2507.12089
  8. Molnar’s theorem for split C*-by-nilpotent algebras (with M. Galici, M. Mancini, and G. P. Nagy)

Journal articles

  1. Logic Operations For Assessment of Experts’ Weight In Fuzzy Rule-Based Systems (with L. Castronovo, G. Filippone, G. Giacopelli, and M. E. Tabacchi ), accepted in Electronics, to appear
  2. Fuzzy Nilpotent Lie Algebras: Bases, Isomorphisms, and a Measure of Nilpotency (with G. Filippone, M. Galici, F. Piazza, and M. E. Tabacchi), in Axioms 15.6 (2026), p. 413, doi: 10.3390/axioms15060413
  3. A new definition of superbiderivations for Lie superalgebras (with A. Di Bartolo and F. P. Di Fatta), in Journal of Algebra and Its Applications, doi: 10.1142/S0219498827501957
  4. Logic and Probabilistic Operations on a Decision Matrix in a Fuzzy Multi-Criteria Decision-Making Problem (with L. Castronovo, G. Filippone, G. Sanfilippo, and M. E. Tabacchi), in Mathematics 14.5 (2026), doi: 10.3390/math14050778
  5. Computing with Speculations (with G. Filippone and M. e: Tabacchi), accepted for publication in Soft Computing
  6. Flag Manifolds without One Codimensional Strata (with A. Di Bartolo), accepted for publication in Differential Geometry of Manifolds of Figures, ISSN: 0321-4796
  7. Fuzzy MCGDM Approach for Ontology Fuzzification (with L. Castronovo, G. Filippone, M. Galici, and M. E. Tabacchi), in Electronics 14.18 (2025), doi: 10.3390/electronics14183596
  8. On a class of two-step solvable Leibniz algebras (with A. Di Bartolo), in International Journal of Algebra and Computation 35.05 (2025), pp. 733–758, doi: 10.1142/S0218196725500249
  9. Biderivations of complete Lie algebras (with A. Di Bartolo), in Journal of Algebra and Its Applications 24.01 (2025), p. 2550016, doi: 10.1142/S0219498825500161
  10. Non-Nilpotent Leibniz Algebras with One-Dimensional Derived Subalgebra (with A. Di Bartolo and M. Mancini), in Mediterranean Journal of Mathematics 21 (2024), p. 138, doi: 10.1007/s00009-024-02679-0
  11. Isotopisms of nilpotent Leibniz algebras and Lie racks (with M. Mancini and G. P. Nagy), in Communications in Algebra 52.9 (2024), pp. 3812–3825, doi: 10.1080/00927872.2024.2330686
  12. Derivations of two-step nilpotent algebras (with M. Mancini), in Communications in Algebra 51.12 (2023), pp. 4928–4948, doi: 10.1080/00927872.2023.2222415
  13. Two-step nilpotent Leibniz algebras (with M. Mancini), in Linear Algebra and its Applications 637 (2022), pp. 119–137, doi: 10.1016/j.laa.2021.12.013

Conference papers

  1. Stabilizing Grover Search via Density-Aware Phase Control (with S. Faro and A. M. Pavone), accepted for proceedings of 3rd Workshop on Quantum Algorithms, Software and Applied Research (QUASAR26), 2026
  2. Fuzzy Rule-Based Approach for Weighting Artificial Experts Involved in a Multi-Criteria Group Decision-Making Problem (with L. Castronovo, G. Filippone, and M. E. Tabacchi), in Information Processing and Management of Uncertainty in Knowledge-Based Systems, Communications in Computer and Information Science, vol. 3020, Springer, Cham, 2026, doi: 10.1007/978-3-032-28997-1_20
  3. Functors Between Fuzzy Varieties (with F. Piazza), in Information Processing and Management of Uncertainty in Knowledge-Based Systems, Communications in Computer and Information Science, vol. 3020, Springer, Cham, 2026, doi: 10.1007/978-3-032-28997-1_21
  4. SDF FuzzIA: A Fuzzy-Based, AI Support System for Decision-Making Frameworks (with L. Castronovo, G. Filippone, M. Galici, A. M. Pavone, and M. E. Tabacchi), in Decision Sciences. DSA ISC 2025, Lecture Notes in Computer Science, vol. 16405, Springer, Cham, 2026, doi: 10.1007/978-3-032-21811-7_28
  5. A new definition of fuzzy nilpotent Lie algebras (with G. Filippone, M. Galici, F. Piazza, and M. E. Tabacchi), in 2025 IEEE International Conference on Fuzzy Systems (FUZZ), pp. 1–5, doi: 10.1109/FUZZ62266.2025.11152208
  6. Some Results on Fuzzy Basis of Fuzzy Lie Algebras (with G. Filippone, M. Galici, and M. E. Tabacchi), in Advances in Fuzzy Logic and Technology, pp. 98–109, doi: 10.1007/978-3-031-97228-7_9
  7. Ontology Aggregation with Maximum Consensus Based on a Fuzzy Multi-criteria Group Decision-Making Method (with L. Castronovo, G. Filippone, M. Galici, and M. E. Tabacchi), in Advances in Fuzzy Logic and Technology, pp. 76–87, doi: 10.1007/978-3-031-97228-7_7
  8. Fuzziness and Lie Algebras (with G. Filippone, M. Mancini, and M. E. Tabacchi), in Information Processing and Management of Uncertainty in Knowledge-Based Systems, pp. 113–123, doi: 10.1007/978-3-031-74000-8_10
  9. Max Black and a Logic of Vagueness (with G. Filippone and M. E. Tabacchi), in Information Processing and Management of Uncertainty in Knowledge-Based Systems, pp. 105–112, doi: 10.1007/978-3-031-74000-8_9
  10. SDF-FuzzIA: A Fuzzy-Ontology Based Plug-in for the Intelligent Analysis of Geo-Thematic Data (with G. Filippone and M. E. Tabacchi), in Scalable Uncertainty Management, pp. 163–169, doi: 10.1007/978-3-031-76235-2_13

Ph.D. thesis

  • On nilpotent Leibniz algebras, Lie biderivations and related topics, 2024, link