Publications

Published Papers in Journal

1.  P. Jana, Anisotropic p-Laplace equations on long cylindrical domain, Opuscula Mathematica, 44(2), 2024.

2. P. Jana and M. K. Chakraborty, Categorical Accommodation of Graded Fuzzy Topological System, Graded Frame and Fuzzy Topological Space with Graded inclusion, Journal of Applied Non-Classical Logic, 32(1), 2022, pp. 11--27. 

3. A. Di Nola, R. Grigolia and P. Jana, Heyting Algebra and Gödel Algebra vs. various Topological Systems and Esakia Space: a Category Theoretic Study, Azerbijan Journal of Mathematics, 11(1), 2021, pp.120--137.

4. P. Jana and M. K. Chakraborty, Fuzzy α-cut and related mathematical structures, Soft Computing, 25(1), 2021, pp. 207--213.

5. M. K. Chakraborty and P. Jana, Fuzzy topology via fuzzy geometric logic with graded consequence, International Journal of Approximate Reasoning, 80, 2017, pp. 334--347. 

6. P. Jana and M. K. Chakraborty, Categorical relationships of fuzzy topological systems with fuzzy topological spaces and underlying algebras-II,  Ann. of Fuzzy Math. and Inform., 10(1), 2015, pp. 123--137. 

7. P. Jana and M. K. Chakraborty, Categorical relationships of fuzzy topological systems with fuzzy topological spaces and underlying algebras,  Ann. of Fuzzy Math. and Inform., 8(5), 2014, pp. 705--727. 

8. P. Jana, A Study of the Interrelation between Fuzzy Topological Systems and Logics, Logic Thesis Abstracts, Bulletin of Symbolic Logic, 25(4), 2019, pp. 453-454.

Published Papers in Book

1. P. Jana, Fuzzy α-Cut in Rough Sets and Its Application, In: Peters, J.F., Skowron, A., Bhaumik, R.N., Ramanna, S. (eds) Transactions on Rough Sets XXIII, Lecture Notes in Computer Science, Springer, Berlin, Heidelberg, 13610, 2022, pp. 12--22.  

Published Papers in Peer Reviewed Conference Proceedings

1. P. Jana, O. Koshelevab and V. Kreinovichcand, Fuzzy Mathematics under Non-Minimal “And”-Operations (t-Norms): Equivalence leads to Metric, Order Leads to Kinematic Metric, Topology Leads to Area or Volume, The 20th World Congress of the International Fuzzy Systems Association (IFSA 2023), pp. 472--477.

2. P. Jana and M.K. Chakraborty, On Categorical Relationship among various Fuzzy Topological Systems, Fuzzy Topological Spaces and related Algebraic Structures, Proceedings of the 13th Asian Logic Conference, World Scientific, 2015, pp. 124--135.

3. P. Jana, Fuzzy α-cut in Probabilistic Rough Set Theory, In: Prof. Rabi Nanda Bhaumik (Ed.), Proceedings of 96th Birthday of Prof. Z. I. Pawlak & 41st year of Rough Set, 2022, pp. 85--90.

Abstracts in Peer Reviewed Conference

1. P. Jana, Fuzzy α-cut in rough sets, An International Conference on Rough Sets - Generalizations & Applications, November 11-13, 2021.

2. P. Jana, L-Topology via Generalised Geometric Logic, In: Sujata Ghosh and R. Ramanujam (Eds.), ICLA 2021 Proceedings 9th Indian Conference on Logic and its Applications March 4-7, 2021, pp. 67--72.

3. P. Jana and M. K. Chakraborty, Fuzzy topology via fuzzy geometric logic with graded consequence, In: B. De Baets, R. Mesiar, S. Saminger-Platz and E. P. Klement (Eds.), Abstracts of the 36th Linz seminar on fuzzy set theory, Johannes Kepler Universitat, Linz, 2016, pp.46--50.

Accepted work

1. P. Jana, Generalised Geometric Logic, Categories and General Algebraic Structures with Applications.

2. N. Hwang, P. Jana and R. Parikh, Ethical agents, 34th Stony Brook International Conference on Game Theory, 2023.

Submitted work

1. R. Das and P. Jana, Generalised Geometric Logic: A Logic for expressing a Neural Network Architecture.

2. A. Adimurthi, P. Jana and P. Roy, Boundary fractional Hardy’s inequality in dimension one: the critical case.

 Ongoing work

1. with A. Di Nola and R. Grigolia, Notion of MV system: a step towards topological characterisation of MV algebra. 

2. with A. Di Nola, S. Lapenta and M.A. Moshier, Action on MV-algebra and flow.

3. with A. Ghosh, S. Ghosh and C. Kayal, Concurrent Game algebra.