- reasoning with graded notions

- non-classical modal and predicate logics
- (abstract) algebraic logic
- mathematical fuzzy logic

- substructural logics
- non-classical mathematics

- 42 papers in peer-reviewed journals; 18 papers in conference proceedings; and 4 book chapters
- Citations: 650+ indexed by Web of Science, 2100+ by Google Scholar, and 250+ by MathSciNet
- H-index: 16 by Web of Science, 24 by Google Scholar, and 9 by MathSciNet

- Lattice-valued predicate logics,
XIV
Congreso Dr. Antonio Monteiro, Argentina, 2017

- Substructural logics: A logical glimpse at residuated lattices, The 91st Workshop on General Algebra, Czech Republic, 2016
- Logics of graded predicates, ManyVal 2015, Switzerland, 2015
- First-order non-classical logics: an order-based approach, Compositional Meaning in Logic, Austria, 2014
- From (deductive) fuzzy logic to (logic-based) fuzzy mathematics, 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, Italy, 2009
- Fuzzy Class Theory: A State of the Art, 30th Linz Seminar on Fuzzy Set Theory, Austria, 2009
- First-order fuzzy logics: Recent development (with P. Hájek), Universal Logic 2007, China, 2007

- P. Cintula, C. Fermüller, C. Noguera. Handbook of Mathematical Fuzzy Logic - Volume 3. Volume 58 of Studies in Logic, Mathematical Logic and Foundations. College Publications, London, 2015. 384 pages.
- P. Cintula, P. Hájek, C. Noguera. Handbook of Mathematical Fuzzy Logic - Volume 2. Volume 38 of Studies in Logic, Mathematical Logic and Foundations. College Publications, London, 2011. 480 pages.
- P. Cintula, P. Hájek, C. Noguera. Handbook of Mathematical Fuzzy Logic - Volume 1. Volume 37 of Studies in Logic, Mathematical Logic and Foundations. College Publications, London, 2011. 492 pages.
- P. Cintula, C. Fermüller, L. Godo, P. Hájek. Understanding Vagueness. Logical, Philosophical and Linguistic Perspectives. Volume 36 of Studies in Logic. College Publications, London, 2011. 421 pages.
- P. Cintula, Z. Haniková, V. Švejdar. Witnessed Years: Essays in Honour of Petr Hájek. Volume 37 of Tributes. College Publications, London, 2009. 416 pages.

- Head of the Department
of Theoretical Computer Science
(2017-present)

- Editor of Archive
for Mathematical Logic, Fuzzy
Sets and Systems, and Journal
of Applied Logic

- Chairman of the board of the Institute of
Computer Science (2012–2017)

- Chair of Programme Committee at Linz Seminar 2010 (Linz), NCMPL 2011 (Canton), and NCMPL 2017 (Canton)
- Chair of Organizing Committee for
NCM
2009, LoMoReVI
2009, LATD
2010, ManyVal
2013, and TACL 2017

- Coordinator of the workgroup of Mathematical Fuzzy Logic (2007-2016)