5 papers
-Topology via Generalised Geometric Logic
P. Jana
This paper introduces a notion of generalised geometric logic. Connections of generalised geometric logic with L-topological system and L-topological space are established.
Heyting Algebra and Gödel Algebra vs. various Topological Systems and Esakia Space: a Category Theoretic Study
Antonio Di Nola, Revaz Grigolia, Purbita Jana
In this paper intuitionistic topological system and its properties have been introduced. Categorical interrelationships among Heyting algebra, Gödel algebra, Esakia space and propo…
Fuzzy -cut and related structures
Purbita Jana, Mihir K. Chakraborty
This paper deals with a new notion called fuzzy -cut and its properties. A notion called localic frame is also introduced. Algebraic structures arising out of the family of fuzz…
Categorical Accommodation of Graded Fuzzy Topological System, Graded Frame and Fuzzy Topological Space with Graded inclusion
Purbita Jana, Mihir K. Chakraborty
A detailed study of graded frame, graded fuzzy topological system and fuzzy topological space with graded inclusion is already done in our earlier paper. The notions of graded fuzz…
A study of the interrelation between fuzzy topological systems and logic
Purbita Jana
The major part of this thesis deals with fuzzy geometric logic and fuzzy geometric logic with graded consequence. The first chapter mainly contains the concept of topological syste…