Research


Research Areas

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, rationality, 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.


Recent Publications

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Some Abstracts

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Other Research Areas

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

Philosophical Aspects

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:

Monographs

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 am co-editing a research volume on "Algebraic Methods in General Rough Sets" to appear in the Springer Trends in Mathematics Series . The CFP may be found here and at the rough set society website. The submission link is here. The abstract submission and and the full research exposition/chapter submission deadlines are 30th of September'2017 and 30th December'2017 respectively.

Collaborators

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


Research Gate Page

Link to my research gate page.