[1] I. Düntsch and W. Dzik. The fork and its role in unification of closure algebras. Fundamenta Informaticae, 2025. To appear. [ bib | http ]
[2] I. Düntsch and W. Dzik. Closure algebras of depth two with extremal relations: Their frames, logics, and structural completeness. Journal of Multiple-Valued Logic and Soft Computing, 44(5-6):451--481, 2025. Special Issue dedicated to Ivo G. Rosenberg. [ bib ]
[3] I. Düntsch and W. Dzik. On the preservation of unification type of heyting algebras and interior algebras. Preprint, 2025. [ bib ]
[4] I. Düntsch, R. Gruszczyński, and P. Menchón. Modelling concepts with affordance relations. Presented at LATD2025: Logic, Algebra and Truth Degrees, 2025. [ bib ]
[5] I. Düntsch, R. Gruszczyński, and P. Menchón. Betweenness algebras. Journal of Symbolic Logic, pages 1--25, 2023. Published online by Cambridge University Press, 15 November 2023. [ bib | DOI | http ]
[6] H. Wang, I. Düntsch, G. Guo, and S. A. Khan. Special issue on small data analytics. Int. J. Mach. Learn. & Cyber., 2022. [ bib | DOI ]
[7] I. Düntsch and E. Mares, editors. Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs, volume 22 of Outst. Contrib. Log. Springer Nature, 2021. MR4400965. [ bib ]
[8] I. Düntsch, G. Gediga, and H. Wang. Measures and approximations using empirical structures. Granular Computing, 6:47--58, 2021. [ bib | DOI ]
[9] I. Düntsch and W. Dzik. Ideal related algebras and their logics. J. Logic Comput., 31(8):2159--2188, 2021. MR4353474 . [ bib ]
[10] I. Düntsch and W. Dzik. Ideal algebras: A generalization of monadic algebras. In Wedrówki poświecie symboli. Jezyk, matematyka, logika, chapter 1, pages 3--12. Wydawnictwo Rys, Poznań, 2021. A volume dedicated to Jerzy Pogonowski on the occasion of his seventieth birthday. [ bib ]
[11] I. Düntsch and E. Orlowska. Application of Urquhart's representation of lattices to some non-classical logics. In I. Düntsch and E. Mares, editors, Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs, volume 22 of Outst. Contrib. Log., chapter 13, pages 347-- 366. Springer Nature, 2021. MR4400978. [ bib ]
[12] I. Düntsch and E. Orl owska. Discrete dualities for groupoids. Rend. Istit. Mat. Univ. Trieste, 53:Art. No. 20, 19, 2021. MR4442776. [ bib | DOI | http ]
[13] I. Düntsch, W. Dzik, and E. Orl owska. On the semilattice of modal operators and decompositions of the discriminator. In H. Andréka and I. Németi on unity of science---from computing to relativity theory through algebraic logic, volume 19 of Outst. Contrib. Log., pages 207--231. Springer Nature, Cham, 2021. MR4352975. [ bib | DOI | http ]
[14] I. Düntsch and W. Dzik. Ideal related algebras and their logics (Extended abstract). In M. Dastani, H. Dong, and L. van der Torre, editors, Proceedings of the 3rd International Conference on Logic and Argumentation (CLAR 2020), Lecture Notes in ComputerScience, 2020. To appear. [ bib ]
[15] I. Düntsch and G. Gediga. Indices for rough set approximation and the application to confusion matrices. Internat. J. Approx. Reason., 118:155--172, 2020. MR4050815. [ bib | DOI | http ]
[16] T. Mihálydeák, F. Min, G. Wang, M. Banerjee, I. Düntsch, Z. Suraj, and D. Ciucci, editors. Rough Sets - International Joint Conference, IJCRS 2019, Debrecen, Hungary, June 17-21, 2019, Proceedings, volume 11499 of Lecture Notes in ComputerScience. Springer, 2019. [ bib ]
[17] I. Düntsch and G. Gediga. Confusion matrices and rough set data analysis. CoRR, abs/1902.01487, 2019. [ bib | arXiv ]
[18] I. Düntsch and E. Orlowska. A discrete representation of lattice frames. In Logic, rationality, and interaction, volume 11813 of Lecture Notes in Comput. Sci., pages 86--97. Springer, Berlin, 2019. MR4019594. [ bib | DOI | http ]
[19] I. Düntsch, G. Gediga, and H. Wang. Approximation by filter functions. In Hung Son Nguyen, Quang-Thuy Ha, Tianrui Li, and Małgorzata Przybyła-Kasperek, editors, Rough Sets: International Joint Conference, IJCRS 2018, volume 11103 of LNAI, pages 243--256. Springer Verlag, 2018. [ bib | http ]
[20] G. Dimov, E. Ivanova-Dimova, and I. Düntsch. On dimension and weight of a local contact algebra. Filomat, 32(15):5481--5500, 2018. MR3898590. [ bib | DOI | http ]
[21] I. Düntsch and G. Gediga. Guttman algebras and a model checking procedure for Guttman scales. In Ewa Orlowska on relational methods in logic and computer science, volume 17 of Outst. Contrib. Log., pages 355--370. Springer, Cham, 2018. MR3929609. [ bib ]
[22] A. Mani, G. Cattaneo, and I. Düntsch, editors. Algebraic Methods in General Rough Sets. Trends in Mathematics. Birkhäuser, Cham, 2018. MR3973494 . [ bib ]
[23] I. Düntsch, L. Kwuida, and E. Orl owska. A discrete representation for dicomplemented lattices. Fund. Inform., 156(3-4):281--295, 2017. MR3746012. [ bib | DOI | http ]
[24] I. Düntsch, E. Orl owska, and T. Tinchev. Mixed algebras and their logics. J. Appl. Non-Class. Log., 27(3-4):304--320, 2017. MR3779213. [ bib | DOI | http ]
[25] I. Düntsch, E. Orl owska, and H. Wang. A relational logic for spatial contact based on rough set approximation. Fund. Inform., 148(1-2):191--206, 2016. MR3594999. [ bib | DOI | http ]
[26] I. Düntsch and G. Gediga. Rough set clustering. In C. M. Henning, M. Meila, F. Murtagh, and R. Rocci, editors, Handbook of cluster analysis, Chapman & Hall/CRC Handb. Mod. Stat. Methods, pages 575--591. CRC Press, Boca Raton, FL, 2016. MR3644728. [ bib ]
[27] I. Düntsch, E. Orl owska, and C. van Alten. Discrete dualities for n-potent MTL-algebras and 2-potent BL-algebras. Fuzzy Sets and Systems, 292:203--214, 2016. MR3471217. [ bib | DOI | http ]
[28] I. Düntsch and G. Gediga. PRE and variable precision models in rough set data analysis. Transactions in Rough Sets, 19:17--37, 2015. MR3618228. [ bib ]
[29] I. Düntsch and G. Gediga. Simplifying contextual structures. In Proceedings of the 6th International Conference on Pattern Recognition and Machine Intelligence, volume 9124 of Lecture Notes in ComputerScience, pages 23--32, Heidelberg, 2015. Springer Verlag. [ bib | .pdf ]
[30] I. Düntsch and E. Orlowska. Discrete dualities for some algebras with relations. J. Log. Algebr. Methods Program., 83(2):169--179, 2014. MR3292915. [ bib | DOI | http ]
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[32] I. Düntsch and S. Li. On the homogeneous countable Boolean contact algebra. Log. Log. Philos., 22(2):213--251, 2013. MR3432639. [ bib | DOI | http ]
[33] I. Düntsch and E. Orlowska. Discrete duality for rough relation algebras. Fund. Inform., 127(1-4):35--47, 2013. [ bib ]
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[39] I. Düntsch. Cylindric algebras and relational databases. In H. Andréka, M. Ferenczi, and I. Németi, editors, Cylindric-like algebras and algebraic logic, volume 22 of Bolyai Soc. Math. Stud., pages 321--331. János Bolyai Math. Soc., Budapest, 2012. MR3156406 . [ bib ]
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[41] X. Yin, I. Düntsch, and G. Gediga. Quadtree Representation and Compression of Spatial Data. Transactions on Rough Sets, 13:207--238, 2011. [ bib ]
[42] I. Düntsch and E. Orlowska. An algebraic approach to preference relations. In Relational and algebraic methods in computer science, volume 6663 of Lecture Notes in Comput. Sci., pages 141--147. Springer, Heidelberg, 2011. MR2913845. [ bib | DOI | http ]
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[44] I. Düntsch and G. Gediga. A Fast Randomisation Test for Rule Significance. In Marcin Szczuka, Marzena Kryszkiewicz, Sheela Ramanna, Richard Jensen, and Qinghua Hu, editors, Rough Sets and Current Trends in Computing, 7th International Conference, RSCTC 2010, volume 6086 of Lecture Notes in ComputerScience, pages 386--391. Springer Verlag, 2010. [ bib ]
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[46] I. Düntsch, G. Gediga, and A. Lenarcic. Affordance relations. In Hiroshi Sakai, Mihir K. Chakraborty, Aboul Ella Hassanien, Dominik Slezak, and William Zhu, editors, Proceedings of the Twelfth International Conference on Rough Sets, Fuzzy Sets, Data Mining & Granular Computing, volume 5908 of Lecture Notes in ComputerScience, pages 1--11. Springer Verlag, 2009. [ bib ]
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[49] I. Düntsch and I. Pratt-Hartmann. Complex algebras of arithmetic. Fund. Inform., 97(4):347--367, 2009. [ bib ]
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[51] I. Düntsch and G. Gediga. Probabilistic granule analysis. In Chien-Chung Chan, Jerzy W. Grzymala-Busse, and Wojciech P. Ziarko, editors, Proceedings of the Sixth International Conference on Rough Sets and Current Trends in Computing (RSCTC 2008), volume 5306 of Lecture Notes in ComputerScience, pages 223--231. Springer Verlag, 2008. [ bib ]
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[54] I. Düntsch and M. Winter. Moving spaces. In Stéphane Demri and Christian S. Jensen, editors, Proceedings of the 15th International Symposium on Temporal representation and Reasoning (TIME 2008), pages 59--63. IEEE Computer Society, 2008. [ bib ]
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[56] J.F. Peters, A. Skworon, I. Düntsch, J. Grzymala-Busse, E. Orlowska, and L. Polkowski, editors. Transactions on Rough Sets VI - Commemorating the Life and Work of Zdislaw Pawlak, Part I, volume 4374 of Lecture Notes in Computer Science, Heidelberg, 2007. Springer Verlag. [ bib ]
[57] I. Düntsch, G. Gediga, and E. Orlowska. Relational attribute systems II. Transactions on Rough Sets, 7:16--35, 2007. MR2397127. [ bib ]
[58] I. Düntsch and B. Konikowska. A multi-modal logic for disagreement and exhaustiveness. Fund. Inform., 75(1-4):215--238, 2007. MR2293697. [ bib ]
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[61] W. MacCaull, M. Winter, and I. Düntsch, editors. Relational methods in computer science, volume 3929 of Lecture Notes in ComputerScience. Springer-Verlag, Berlin, 2006. Selected revised papers from the 8th International Seminar on Relational Methods in ComputerScience, the 3rd International Workshop on Applications of Kleene Algebra and the Workshop of COST Action 274: TARSKI, held in St. Catharines, ON, February 22--26, 2005. [ bib ]
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[65] I. Düntsch and A. Urquhart. Betweenness and comparability obtained from binary relations. In Relations and Kleene algebra in computer science, volume 4136 of Lecture Notes in Comput. Sci., pages 148--161. Springer, Berlin, 2006. MR2281598. [ bib | DOI | http ]
[66] D. Ślezak, M. Wang, G.and Szczuka, I. Düntsch, and Y. Yao, editors. Proceedings of the 10th International Conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing (RSFDGrC 2005), volume 3641 of Lecture Notes in Artificial Intelligence, Heidelberg, 2005. Springer Verlag. [ bib ]
[67] I. Düntsch. Relation algebras and their application in temporal and spatial reasoning. Artificial Intelligence Review, 23:315--357, 2005. [ bib ]
[68] I. Düntsch and M. Winter. Weak Contact Structures. In Wendy MacCaull, Michael Winter, and Ivo Düntsch, editors, Proceedings of the 8th International Conference on Relational Methods in Computer Science and the 3rd International Workshop on Applications of Kleene Algebra and Workshop of COST Action 274, volume 3929 of Lecture Notes in ComputerScience, pages 73--82, Heidelberg, 2005. Springer-Verlag. MR2251975. [ bib | .pdf ]
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[73] I. Düntsch and M. Winter. Algebraization and representation of mereotopological structures. Journal of Relational Methods in ComputerScience, 1:161--180, 2004. https://www.cosc.brocku.ca/Faculty/Winter/JoRMiCS/Vol1/PDF. [ bib ]
[74] G. Gediga, I. Düntsch, and J. Adams-Webber. On the direct scaling approach of eliciting aggregated fuzzy information: The psychophysical view. In Scott Dick, Lukasz Kurgan, Petr Musilek, Witold Pedrycz, and Marek Reformat, editors, Proceedings the 2004 Annual Meeting of the North American Fuzzy Information Processing Society, pages 948--953, 2004. [ bib | .pdf ]
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[78] I. Düntsch and G. Gediga. Approximation operators in qualitative data analysis. In Harri de Swart, Ewa Orlowska, Gunther Schmidt, and Marc Roubens, editors, Theory and Application of Relational Structures as Knowledge Instruments, volume 2929 of Lecture Notes in ComputerScience, pages 214--230. Springer-Verlag, Heidelberg, 2003. [ bib ]
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[81] G. Gediga and I. Düntsch. On model evaluation, indices of importance, and interaction values in rough set analysis. In S.K.Pal, L.Polkowski, and A.Skowron, editors, Rough-Neural Computing: Techniques for computing with words, pages 251--276. Physica Verlag, Heidelberg, 2003. [ bib | .pdf ]
[82] H. Wang, D. Bell, and I. Düntsch. A density based aapproach to classification. In SAC '03: Proceedings of the 2003 ACM symposium on Applied computing, pages 470--474, New York, 2003. ACM Press. [ bib | DOI ]
[83] I. Düntsch and G. Gediga. Modal-style Operators in Qualitative Data Analysis. In Proceedings of the 2002 IEEE International Conference on Data Mining (ICDM'02), pages 155--162, 2002. [ bib | .html | .pdf ]
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[85] I. Düntsch and M. Roubens. Tangent circle algebras. In Relational methods in computer science, volume 2561 of Lecture Notes in Comput.Sci., pages 300--313. Springer, Berlin, 2002. [ bib ]
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[89] G. Gediga, K.-Ch. Hamborg, and I. Düntsch. Evaluation of software systems. In Encyclopedia of Computer Science and Technology, volume 45, pages 127--153. Marcel Dekker, 2002. Also appeared in volume 72 of the Encyclopedia of Library and InformationScience (2002), 166-192. [ bib | .html | .pdf ]
[90] I. Düntsch and G. Gediga. A note on the correspondence among entail relations, rough set dependencies, and logical consequence. J. Math. Psych., 45(2):393--401, 2001. [ bib ]
[91] I. Düntsch and G. Gediga. Roughian - Rough Information Analysis. International Journal of Intelligent Systems, 46:121--147, 2001. [ bib | .html ]
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[93] I. Düntsch and S. Mikulás. Cylindric structures and dependencies in relational databases. Theoret. Comput.Sci., 269(1-2):451--468, 2001. [ bib ]
[94] I. Düntsch, E. Orlowska, and H. Wang. Algebras of approximating regions. Fund. Inform., 46(1-2):71--82, 2001. Special issue on qualitative spatial reasoning. [ bib ]
[95] I. Düntsch, H. Wang, and S. McCloskey. A relation-algebraic approach to the region connection calculus. Theoret. Comput.Sci., 255(1-2):63--83, 2001. [ bib ]
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[98] H. Wang, I. Düntsch, D. Bell, and D. Liu. Classification through Maximizing Density. In First IEEE International Conference on Data Mining (ICDM'01), pages 655--656, Los Alamitos, CA, USA, 2001. IEEE Computer Society. [ bib | DOI ]
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[100] I. Düntsch and E. Orl owska. Beyond modalities: Sufficiency and mixed algebras. In Relational methods for computer science applications, volume 65 of Stud. Fuzziness Soft Comput., pages 263--285. Physica, Heidelberg, 2001. MR1858531. [ bib | DOI | http ]
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[102] I. Düntsch and G. Gediga. Rough set data analysis: A road to non-invasive knowledge discovery. Methoδos (UK), Bangor, 2000. [ bib ]
[103] I. Düntsch and G. Gediga. Rough set data analysis. In Encyclopedia of Computer Science and Technology, volume 43, pages 281--301. Marcel Dekker, 2000. [ bib | .html | .pdf ]
[104] I. Düntsch and G. Gediga. Sets, relations, functions. Methodos Publishers (UK), Bangor, 2000. [ bib | .pdf ]
[105] I. Düntsch, G. Gediga, and S. Nguyen. Rough sets in the KDD process. In Proc. of IPMU 2000, pages 220--226, 2000. [ bib | .html | .pdf ]
[106] I. Düntsch and E. Orlowska. A proof system for contact relation algebras. J. Philos. Logic, 29(3):241--262, 2000. [ bib ]
[107] I. Düntsch, E. Orlowska, and H. Wang. An algebraic and logical approach to the approximation of regions. In Participants Copies of the Fifth International Seminar on Relational Methods in ComputerScience, January 9-14, 2000, Valcartier (Quebec), Canada, pages 65--74, 2000. [ bib ]
[108] G. Gediga, K.-Ch. Hamborg, and I. Düntsch. The IsoMetrics usability inventory: An operationalisation of ISO 9241/10. Behaviour and Information Technology, 18:151--164, 2000. [ bib | .html ]
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