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A categorical approach to graded fuzzy topological system and fuzzy geometric logic with graded consequence

A categorical approach to graded fuzzy topological system and fuzzy geometric logic with graded... 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 fuzzy topological system and fuzzy topological space with graded inclusion were obtained via fuzzy geometric logic with graded consequence. As an offshoot, the notion of graded frame has been developed. This paper deals with a categorical study of graded frame, graded fuzzy topological system and fuzzy topological space with graded inclusion and their interrelation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Non-Classical Logics Taylor & Francis

A categorical approach to graded fuzzy topological system and fuzzy geometric logic with graded consequence

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A categorical approach to graded fuzzy topological system and fuzzy geometric logic with graded consequence

Abstract

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 fuzzy topological system and fuzzy topological space with graded inclusion were obtained via fuzzy geometric logic with graded consequence. As an offshoot, the notion of graded frame has been developed. This paper deals with a categorical study of graded frame, graded fuzzy topological system and fuzzy topological...
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Publisher
Taylor & Francis
Copyright
© 2022 Informa UK Limited, trading as Taylor & Francis Group
ISSN
1958-5780
eISSN
1166-3081
DOI
10.1080/11663081.2022.2050134
Publisher site
See Article on Publisher Site

Abstract

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 fuzzy topological system and fuzzy topological space with graded inclusion were obtained via fuzzy geometric logic with graded consequence. As an offshoot, the notion of graded frame has been developed. This paper deals with a categorical study of graded frame, graded fuzzy topological system and fuzzy topological space with graded inclusion and their interrelation.

Journal

Journal of Applied Non-Classical Logics – Taylor & Francis

Published: Jan 2, 2022

Keywords: Fuzzy relations; non-classical logic; category theory; topology; algebra; graded frame; graded fuzzy topological system; fuzzy topological space with graded inclusion; fuzzy geometric logic with graded consequence; 54A40; 94D05; 03B52

References

  • Graded consequence: Further studies
  • Fuzzy topology on fuzzy sets and tolerance topology
  • Graded consequence revisited
  • Fuzzy topology via fuzzy geometric logic with graded consequence
  • Interweaving algebra and topology: Lattice-valued topological systems
  • Lattice-valued preordered sets as lattice-valued topological systems
  • Graded consequence with fuzzy set of premises
  • Categorical relationships of fuzzy topological systems with fuzzy topological spaces and underlying algebras
  • A categorical accommodation of various notions of fuzzy topology
  • Variable-basis topological systems versus variable-basis topological spaces