6533b7ddfe1ef96bd12751b7

RESEARCH PRODUCT

On a Category of Extensional Fuzzy Rough Approximation L-valued Spaces

Aleksandrs EļkinsIngrīda UļjaneAlexander P. Sostak

subject

Discrete mathematicsFuzzy classificationMathematics::General Mathematics05 social sciences050301 education02 engineering and technologyTopological spaceSpace (mathematics)Fuzzy logicMorphismMathematics::Category TheoryFuzzy mathematics0202 electrical engineering electronic engineering information engineeringFuzzy numberCategory of topological spaces020201 artificial intelligence & image processing0503 educationMathematics

description

We establish extensionality of some upper and lower fuzzy rough approximation operators on an L-valued set. Taking as the ground basic properties of these operators, we introduce the concept of an (extensional) fuzzy rough approximation L-valued space. We apply fuzzy functions satisfying certain continuity-type conditions, as morphisms between such spaces, and in the result obtain a category \(\mathcal{FRA}{} \mathbf{SPA}(L)\) of fuzzy rough approximation L-valued spaces. An interpretation of fuzzy rough approximation L-valued spaces as L-fuzzy (di)topological spaces is presented and applied for constructing examples in category \(\mathcal{FRA}{} \mathbf{SPA}(L)\).

yearjournalcountryeditionlanguage
2016-01-01
https://doi.org/10.1007/978-3-319-40581-0_5