Theory and Applications of Pretopology
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Fuzzy Sets, Systems and Decision Making".
Deadline for manuscript submissions: closed (30 November 2019) | Viewed by 360
Special Issue Editor
Special Issue Information
Dear Colleagues,
This Special Issue will report recent advances on the “Theory and Applications of Pretopology”. Research, survey or applied papers are welcome.
Pretopology is the sub-branch of general topology dealing with sets equipped with more general structures than classical topologies and defined via pre-closure operators, including topological closure operators as a special case. Neighbourhood operators and convergence operators are alternative primitive notions that are also used in pretopology to structure a set. Pretopology first appeared at the time of the foundations of general topology in the early twentieth century, but remained in its shadow and is still largely unknown. It enables compensation for an excessively large restriction of the axiomatic of topological spaces, and its application fields are many and varied, in both the formal, natural and human sciences and engineering (artificial intelligence, astronomy, biology, chemistry, cosmology, economics, computer sciences, logic, mechanics, pattern recognition, physics, physique mathematics, psychology, robotics, semantics, etc.).
The topics for this Special Issue range from concepts and basic notions up to more advanced topics such as hyperspaces related to pretopological spaces or spaces of functions between pretopological spaces. It also aims reporting new developments and problems in pretopology arising from applications.
Prof. Dr. Jean-Charles Pinoli
Guest Editor
Manuscript Submission Information
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Keywords
- Connectedness, continuity, countability, separation, etc.
- Convergence operators
- Neighborhood spaces
- Neighborhood operators
- Preclosure operators
- Pretopological function spaces
- Pretopological hyperspaces
- Pretopological spaces
- Pretopology and rough sets, fuzzy sets …
- Pseutopological spaces
- Set collections: filters, stacks, rasters …
