Rough concepts

W Conradie, S Frittella, K Manoorkar, S Nazari… - Information …, 2021 - Elsevier
The present paper proposes a novel way to unify Rough Set Theory and Formal Concept
Analysis. Our method stems from results and insights developed in the algebraic theory of …

Toward a Dempster-Shafer theory of concepts

S Frittella, K Manoorkar, A Palmigiano… - International Journal of …, 2020 - Elsevier
In this paper, we generalize the basic notions and results of Dempster-Shafer theory from
predicates to formal concepts. Results include the representation of conceptual belief …

[HTML][HTML] Modal reduction principles across relational semantics

W Conradie, A De Domenico, K Manoorkar… - Fuzzy Sets and …, 2024 - Elsevier
The present paper establishes systematic connections among the first-order correspondents
of Sahlqvist modal reduction principles in various relational semantic settings, including …

Syntactic completeness of proper display calculi

J Chen, G Greco, A Palmigiano… - ACM Transactions on …, 2022 - dl.acm.org
A recent strand of research in structural proof theory aims at exploring the notion of analytic
calculi (ie, those calculi that support general and modular proof-strategies for cut …

Intuitionistic fuzzy three-way formal concept analysis based attribute correlation degree

XW Xin, JH Song, ZA Xue… - Journal of Intelligent & …, 2021 - content.iospress.com
As an important expanded of the classical formal concept, the three-way formal concept
analysis integrates more information with the three-way decision theory. However, to the …

Algebraic proof theory for LE-logics

G Greco, P Jipsen, F Liang, A Palmigiano… - ACM Transactions on …, 2024 - dl.acm.org
In this article, we extend the research programme in algebraic proof theory from axiomatic
extensions of the full Lambek calculus to logics algebraically captured by certain varieties of …

Proper multi-type display calculi for rough algebras

G Greco, F Liang, K Manoorkar, A Palmigiano - Electronic Notes in …, 2019 - Elsevier
In the present paper, we endow the logics of topological quasi Boolean algebras,
topological quasi Boolean algebras 5, intermediate algebras of types 1-3, and pre-rough …

Labelled calculi for the logics of rough concepts

I van der Berg, A De Domenico, G Greco… - Indian Conference on …, 2023 - Springer
We introduce sound and complete labelled sequent calculi for the basic normal non-
distributive modal logic and some of its axiomatic extensions, where the labels are atomic …

Modelling informational entropy

W Conradie, A Craig, A Palmigiano… - … , and Computation: 26th …, 2019 - Springer
By 'informational entropy', we understand an inherent boundary to knowability, due eg to
perceptual, theoretical, evidential or linguistic limits. In this paper, we discuss a logical …

The logic of vague categories

W Conradie, A Palmigiano, C Robinson… - arXiv preprint arXiv …, 2019 - arxiv.org
We introduce a complete many-valued semantics for basic normal lattice-based modal logic.
This relational semantics is grounded on many-valued formal contexts from Formal Concept …