My current research areas include Rough sets, Algebra, Logic, Vagueness, Soft
Computing, Mereology, Algebraic Logic, Ontology, Dialectical Logics, Ordered
Structures, Partial Algebras, Foundations of Mathematics, Philosophical Logic, Fuzzy Sets and
Theory of Knowledge I have interests in applications to social social sciences,
feminism, gender studies and applied philosophy too. You can request a
*not-so-short research statement* to know more.

Most of my recent publications have been in the area of foundations of rough sets and algebraic logic. My research in rough sets range over axiomatic approach to granularity, various algebraic semantics of rough sets, Contamination problem, Knowledge, rough number systems, and connections with probability and fuzzy sets in particular. Specifically I have also invented/worked on adaptation of rough semantics to Posets with difference, higher order semantics for classical rough set theory, AntiChain based Semantics, Tolerance Approximation Spaces, Granular Rough Semantics, Variable Precision Rough Sets, Irreflexive Rough Sets, Bitten RST (in TAS), Logic of TQBA and Variants, Problem of Combining Generalized Rough Semantics, Dialectical Rough Logics, Rough Theory of Knowledge, Integrated (of multiple meta levels) Rough Semantics, Mereology, ideal based rough sets and applications in algebra and logic.

Click on the link below for a list of my recent publications. A few of them can be found at Arxiv.

Before 1996, I used to work on fixed point theory, summability, topology, posets and semigroups mainly.

I am, of course, very good in philosophy. Some of the meta principles due to myself (in a interpretation) that I try to stick to:

- There is no one handle to hold on to the Mathematics of Vagueness.
- Among branches of mathematics and materialism, no branch forms an island isolated from other branches and the relation of relatedness among different branches tends to change across problem perspectives. There are ways of working relative to the idea of problem perspectives themselves so that the relatedness may be stable or unstable. This should be the way.
- Given a collection of relatively rough and crisp objects (real and virtual) in a semantic domain, a useful goal can be to derive a rough evolution of the state of affairs that is as unambiguous as is possible.

I have been working on three different monographs on algebra, order and logics for quite some time. These are delayed due to my pre-occupation with research papers and other matters.

I collaborate a lot, but pretend to work all alone. Some of my collaborators are:

- Mihir Chakraborty (Calcutta University, JU, ISI)
- Mohua Banerjee (IIT, Kanpur) and others working in foundations of rough set theory/logic
- Groups like Calcutta Logic Circle, RG, CMS, ALI, ISRS and Others