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Type-2 lattice-valued preorders: A common framework of lattice-valued preorders and various kinds of metrics.
- Source :
-
Iranian Journal of Fuzzy Systems . 2023, Vol. 20 Issue 3, p191-203. 13p. - Publication Year :
- 2023
-
Abstract
- The aim of this paper is to introduce a concept of type-2 L-preorders for L being a complete residuated lattice. It can be considered as a common framework of L-preorders and hemimetrics, and also contains various kinds of fuzzy metrics, including Morsi fuzzy metrics, KM-fuzzy metrics and modular metrics, as natural examples. It is shown that the category of L-preordered sets can be reflectively and coreflectively embedded in that of type-2 L-preordered sets. A type-2 L-preorder can be supplied as different models for further study. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RESIDUATED lattices
*COMPLETE dentures
Subjects
Details
- Language :
- English
- ISSN :
- 17350654
- Volume :
- 20
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Iranian Journal of Fuzzy Systems
- Publication Type :
- Academic Journal
- Accession number :
- 163731638