• Mani, A. *Mereological Methods for Education Research, and School and College-Level Mathematics.*
ICME 15, 2023-24

• Mani, A. *Algebraic Models for Qualified Aggregation in General Rough Sets, and Reasoning Bias Discovery.*
IJCRS, 2023, 15pp, Springer Nature In Press Preprint Link.

• Mani, A. *Algebraic, Topological, and Mereological Foundations of Existential Granules.*
IJCRS, 2023, 15pp, Springer Nature In Press Preprint Link.

• Mani, A. and Mitra, S. *Large Minded Reasoners for Soft and Hard Cluster Validation *
Annals of Computer and Information Sciences, Vol 36, PTI, 16pp, 2023. DOI Link

• Mani, A. *Rough Randomness and its Application*
J. Cal. Math. Soc. 2023, 14pp,

• Mani, A. *Approximate Reasoning and the Ethnomathematics of Cooking*
Prometeica - Revista de Filosofía y Ciencias, 27, 295-305, 2023

• Mani, A. *Granular Knowledge and Rational Approximation in General Rough Sets-1*
Journal of Applied Non-Classical Logics, 2023, 36pp (Accepted). Preprint Link

• Mani, A. *Granular Knowledge and Rational Approximation in General Rough Sets-2*
Transactions on Rough Sets 2022-3, 78pp,

• Mani, A. *Granular Knowledge and Rational Approximation in General Rough Sets-3*
Transactions on Rough Sets 2022-3, 78pp,

• Mani, A. *Granular Directed Rough Sets, Concept Organization and Soft Clustering*
AMAI 2022, 32pp, Preprint Link

• Mani, A. *Mereology for STEAM and Education Research*
In D. Chari and A. Gupta (Eds) epiSTEME 2022, 122--129, HBCSE, TIFR, Preprint Link Paper Link

• Mani, A. *Granularity and Rational Approximation: Rethinking Graded Rough Sets*
Transactions on Rough Sets, XXIII, 2022, XXIII, 13610, Pages 33--59, Springer Preprint Link Paper Link

• Mani, A and Mitra, S. *Granular Generalized Variable Precision Rough Sets and Rational Approximations*
Forthcoming, 2021-22, 45pp

• Mani, A. *A Note on Graded Rough Sets*
FRSA Proceedings, 2021, 9pp Link

• Mani, A. *Algebraic Semantics of Generalized RIFs*
Forthcoming, 2021, 51pp Preprint Link

• Mani, A. *General Rough Modeling of Cluster Analysis*
IFSA-EUSFLAT Proceedings, 2021, 15pp Springer Link

• Mani, A. *Mereological Emptiness for the Signed Number Problem*
5th Women in Logic Workshop LICS'2021, Rome Link

• Mani, A. *What Maybe a Table in Education Research?*
MES 11, 2021, 10pp Full Proceedings

• Mani, A. *Mani, A: Granular Computing: Some Remarks,*
Proceedings of FRSA Conference on Lotfi Zadeh Centenary. 1–9, Feb.'2021. Tripura University Link

• Mani, A. *Mani, A: Algebraic Language for General Rough Cluster Analysis and Proofs,*
Forthcoming, 1–42, 2020-21.

• Mani, A. *Using General Rough Sets to Model Concepts in the School Mathematics Teaching Context*
Forthcoming, 2020 24pp

• Mani, A. *Comparative Approaches to Granularity in General Rough Sets*
In IJCRS'2020, E. Bello Et Al (Editors) LNAI 12179, pages 500-518, 2020 Springer
Link . Preprint Link

• Mani, A. *Towards Student Centric Rough Concept Inventories*
In IJCRS'2020, E. Bello Et Al (Editors) LNAI, Springer, 2020,
LNAI 12179, pages 251-266, 2020 Springer
Link . Preprint Link

• Mani, A. *Functional Extensions of Knowledge Representation in
General Rough Sets*
In IJCRS'2020, E. Bello Et Al (Editors) LNAI 12179, pages 19–34, 2020 Springer
Link . Preprint Link

• Mani, A. *High Granular Operator Spaces and Less-Contaminated Rough Mereologies*
Forthcoming, 2018-19, 69pp ArXiv Link

• Mani, A. and Radelecki, S. *Algebraic Approach to Directed Rough Sets*
Forthcoming, 2020-21, 36pp, Preprint Link

• Mani, A. *From Approximation*
Forthcoming, 2019, 15pp

• Mani, A. *Dialectical Rough Sets, Parthood and Figures of Opposition-I, II* Transactions on Rough Sets XXI, 2018-19: 69pp Springer Link Arxiv Preprint

• Mani, A. *Towards Spatial Mereology of Dependence in General Rough Sets and Probability Theory*
Forthcoming (under revision), 2018-19, 72+

• Mani, A. *Comparing Dependencies in Probability Theories and Rough Sets*
Forthcoming, 2018, 1--69+ Arxiv:1804.02322

• Mani, A. *Algebraic Methods in Granular Rough Sets*
In A. Mani, I. Düntsch, and G. Cattaneo, editors, **Algebraic Methods in General
Rough Sets**, Trends in Mathematics, pages 157-335 Birkhauser, 2018

• Mani, A. *Algebraic Representation, Dualities and Beyond*
In A. Mani, I. Düntsch, and G. Cattaneo, editors, **Algebraic Methods in General
Rough Sets**, Trends in Mathematics, pages 459-552 Birkhauser, 2018

• Mani, A. *Comparing Dependencies in Probability Theories and Rough Sets*
Forthcoming, 2018, 1--69+ Arxiv:1804.02322

• Mani, A. *Rationality in Hybrid Granular Rough Contexts*
Forthcoming, 2017, 1--24

• Mani, A. *Generalized Ideals and Co-Granular Rough Sets, *
In IJCRS'2017, Ed L. Polkowski et. al, Part II, LNAI 10314, pp. 3–22, 2017,
DOI: 10.1007/978-3-319-60840-2\_1, Springer International Preprint:
Arxiv:1704.05477

• Mani, A. *Approximations from Anywhere and General Rough Sets,
* In IJCRS'2017, Ed L. Polkowski et. al Part II, LNAI 10314,
pp. 23–42, 2017. DOI: 10.1007/978-3-319-60840-2\_2, Springer International
Preprint: Arxiv:1704.05443

• Mani, A. *Knowledge and Consequence in AC Semantics for General Rough Set, * In Thriving Rough Sets--10th Anniversary--Honoring Professor Zdzislaw Pawlak's Life and Legacy and 35 years of Rough
Sets, edited by G. Wang and A. Skowron and Y. Yao and D. Slezak and Lech Polkowski
"Studies in Computational Intelligence" Series, Vol.708, Springer'2017. 237--268, doi = "10.1007/978-3-319-54966-8.

• Mani, A. *Pure Rough Mereology and Counting, * WIECON-ECE'2016:IEEE International WIE Conference on Electrical and Computer Engineering
Year: 2016, Pages: 5 - 8, DOI: 10.1109/WIECON-ECE.2016.8009074
Arxiv:1701.08301 2016:Preprint Download Link

• Mani, A. and Rebeka Mukherjee *A Study of FOSS'2013 Survey Data Using Clustering Techniques, * IEEE International WIE Conference on Electrical and Computer Engineering (WIECON-ECE)
Year: 2016, Pages: 118 - 121, DOI: 10.1109/WIECON-ECE.2016.8009099
Arxiv:1701.08302: Preprint Download Link

• Mani, A. *On Deductive Systems of
AC Semantics for Rough Sets, * Arxiv:1610.02634 2016: 12pp
Download Link

• Mani, A. *Combinatorial Aspects of
Distribution of Rough Objects, * Forthcoming 2017: 23pp

• Mani, A. *Algebraic Semantics of
Proto-Transitive Rough Sets, * Transactions on
Rough Sets XX, LNCS 10020, Springer'2016 51--108

• Mani, A. *Generative Rough Dreamy-Fuzzy
Dialectics, * Forthcoming 2015-16: 36pp

• Mani, A. *Probabilities, Dependence and Rough
Membership Functions, * Special Issue on
Computational Intelligence and Communications,International Journal of Computers and Applications,
Vol. 39, No.1, 2016, 17--39: Link .

• Mani, A. *Dreamy Fuzzy Sets-1,
*\indent Preprint June'2015: 8pp.\\ Researchgate
Link

• Mani, A. *Types of Probabilities Associated
with Rough Membership Functions, * IEEEXplore,
ICRICN'2015, 175--180. Doi. 10.1109/ICRCICN.2015.7434231

• Mani, A. *Antichain Based Semantics for Rough
Sets * in RSKT 2015, D. Ciucci, G. Wang, S.
Mitra, and W. Wu, Eds. Springer-Verlag, 2015, 319--330.

• Mani, A. *Probabilistic vs Rough Dependence
*Asian Logic Conference'2015: 5--8 Jan'2015,
IIT,Bombay (ASL Conference)

• Mani, A. *Research Monograph:"Algebraic
Semantics of Proto-Transitive Rough Sets" *First Edition July'2014 90pp Download: arXiv:1410.0572

• Mani, A. *" Approximation of General Rough
Semantics" * Submitted'2014 14pp

• Mani, A. *" Ontology, Rough Y-Systems and
Dependence"(Long Version) * Special Issue on
Computational Intelligence: International Journal of Computer Science &
Applications. 10/2014; 11(2):114--136.
href="http://www.tmrfindia.org/ijcsa/v112.html">Web Link

• Mani, A. *" Ontology, Rough Y-Systems and
Dependence" * ICCI' 2014, Accepted 20pp
(Keynote Talk)

• Mani, A. *" Approximation Dialectics of
Proto-Transitive Rough Sets" *In *Facets of
Uncertainties and Applications'2013*}, M. K. Chakraborty et. al. (Eds)
Springer Proceedings in Mathematics and Statistics 125, Springer Verlag, 1--11.

• Mani, A. *" L-Computing over Rough Y-Systems"
* Submitted' 2013 20pp

• Mani, A. *" Contamination-Free Measures and
Algebraic Operations" * Proceedings of
FUZZIEEE'2013,Hyderabad Edited by N.Pal et. al. 16pp

• Mani, A. *"Granular Approach to Generalized
Transitive Rough Sets" * Forthcoming, 78pp.

• Mani, A. *"Modified Rough Measures in the
Light of Contamination" * Forthcoming, 24pp.

• Mani, A. *"Dialectics of Knowledge
Representation in a Granular Rough Set Theory" * ICLA'2013,IMsc Chennai 15pp. Download

• Mani, A. *"Axiomatic Approach to Granular
Correspondences" * In Proceedings of RSKT'2012,
edited by Li, T et. al, LNAI 7414, 2012, 482--487, Springer-Verlag.

• Mani, A. *"An Axiomatic Theory of Granules
for all Types of Rough Set Theory and Meta-Applications"* Forthcoming '2010-11,
59pp

• Mani, A. *"Dialectics of Counting and
Mathematics of Vagueness"* Transactions on
Rough Sets Vol XV, LNCS 7255,'2012, 122--180 Download Link.

• Mani, A. *"Towards Logics of Some Rough
Perspectives of Knowledge"* In Series:
Intelligent Systems Reference Library dedicated to the memory of Prof. Pawlak,
(ed. Suraj, Z and Skowron, A.) IRL 43, 2013,
419--444

• Mani, A. *"More Semantics of Some Rough
Perspectives Of Knowledge"* In Proc of
FRUAA'2011, NIT Durgapur'2011, 6pp

• Mani, A. *"Choice Inclusive General Rough
Semantics"* Information Sciences181(6), Vol 181, 1097--1115, '2011

• Mani, A. *"Dialectics of Counting and
Measures of Rough Set Theory"* In IEEE
Proc. of NCESCT'2011, Pune, Feb-1-3, Arxiv:1102.2558, 17pp, 2011

• Mani, A. *"Towards an Algebraic Approach for
Cover Based Rough Semantics and Combinations of Approximation
Spaces"* In Proc. RSFDGrC' 2009, LNAI
5908,(ed. Sakai, H. et. al) pp.~77--84, Springer,2009

• Mani, A. *"Integrated Dialectical Semantics
for Relativised Rough Set Theory"*

Internat. Conf. on Rough Sets, Fuzzy Sets and Soft Computing, Tripura
University, Agartala, India Arxiv, '2009

• Mani, A. *"Algebraic Semantics of Similarity
Based Bitten Rough Set Theory"*

Fundamenta Informaticae 97 (1-2)
2009,177--197.

• Mani, A. *"A program in dialectical rough
set theory"*

Preprint Arxiv,
'2009

• Mani, A. *"Semiset, Alternative Set and Rough
Set Theories"*

Preprint '2010, 36pp

• Mani, A. *"Meaning, Choice and Algebraic
Semantics of Similarity Based Rough Set Theory"*

Internat. Conf. Logic and Applications, Chennai, 2009; http://arxiv.org/abs/0905.1352,
12pp

• Mani, A. *"Esoteric Rough Set Theory:
Algebraic Semantics of a Generalized VPRS and VPRFS"*

Transactions in Rough Sets
Vol-VIII,LNCS 5084, 2008, 175--223

• Mani, A. "Di-Algebraic Semantics of
Logics"

*Fundamenta Informaticae* **70**, (4) 2006, 333--350

• Mani, A. "Super Rough Semantics"

*Fundamenta Informaticae*
**65**, 2005, 1--13

• Mani, A. "Rough Equalities on Posets and Rough
Difference Orders"

*Fund.
Informat.* **53** (3,4) 2002,
321--333

• Mani, A. "Representation of TQBA and
Variants"

*Preprint*, 2004

• Mani, A. "V-Perspectives, Pseudo-Natural
Number Systems and Partial Orders"

*Glasnik Math* Vol.**37** (57) 2002, 245-257

• Mani, A. "Constrained Abstract Representation
Problems in Semigroups and Partial Groupoids" *Glasnik Math.* **39** (59) 2004, 245--255

• Mani, A. "Dialectically Presentable
Logics" *Preprint, '2006, '2007 *

• Mani, A. "Concrete Representation Theorems for
Generalized Closure Operators"

*Under
Revision*

• Mani, A. "A Partial-Algebraic Logic of
TQBAs"

*To be Submitted, 2007*

• Mani, A. "Algebraic Semantics of Rough
Difference Orders"

Internat. Symposium on
Mathematics at the Cal.Math.Soc. Dec`20-22, 2002

• Mani, A. "Abstract Representation for Partial
Difference Lattices"

Internat. Seminar on
Mathematics and its appl at the Cal. Math. Soc.`2001

• Mani, A. "Partial Stems, Retracts, Structure
Theorems and Refinement Classes of CL-algebras"* Accepted*, Int. Sem. on
Math and its Applic. at the Cal. Math. Soc.`Dec.2003

• Mani, A. "A Dialectical Partial Algebraic
Approach to Non-Monotone Logics"

Seminar on
Trends in Mathematics, organized by the Univ of Calcutta `Feb 20-21`2002

• Mani, A. "On the Notions, the Philosophies and
the Truths of Dialectical Logics"

Summer
School and Seminar on Logic and Cognition organized by the CLC, CU and the Univ.
of Jadavpur, Calcutta `Jun'1999

• Mani, A. "Dialectically Presentable
Logics"

Preprint'2006-07, 50pp

• Mani, A. "Common Misinterpretations of
Godel's Theorems"

Preprint'2008

• Mani, A. "On Artin L-Functions"

Preprint'2006

• Mani, A. "Dialectics of Algebraic
Logic"

Preprint. Seminar on Logic and
Semantics organized by the Calcutta Logic Circle at J.U. Oct' 2005

• Mani, A. "Model-theoretic Approach to
Generalized Inverses in Semigroups"

Preprint'1999

• Mani, A. "Problems Arising at the
Underlying Language of a Given Formal Logic"

Preprint. Seminar on Logic and Computing organized by the
Calcutta Logic Circle at C.U. 2001

• Mani, A. "Dialectical Connectionist
Models"

Under Revision, Preprint'2001

• Mani, A. "Subset F-Distinct Partial
Algebras"

Preprint'2000

• Mani, A. "Possible Course Designs for
Universal Algebra for Logic"

Preprint,
revised 2005

• Mani, A. "Special Courses for
Interdisciplinary Interaction at the Research Level" *N Bull.Cal.Math.Soc* **23**
(3,4) 2000, 17--20