Back to Search
Start Over
Multi-adjoint lattice logic and truth-stressing hedges.
- Source :
-
Fuzzy Sets & Systems . Sep2022, Vol. 445, p43-65. 23p. - Publication Year :
- 2022
-
Abstract
- This paper presents the multi-adjoint lattice logic (MLL) and its completeness and soundness. Specifically, the proposed many-valued propositional logic framework is defined on a multi-adjoint algebra whose underlying algebraic structure is a bounded lattice, which embeds the well-known basic logic (BL) given by Hájek on residuated lattices. The consideration of truth-stressing hedges in the multi-adjoint algebra is also studied and, as a consequence, two new logics extensions of MLL arise: the multi-adjoint lattice logic very true intensified (MLL v t) and the multi-adjoint lattice logic ∨-very true intensified (MLL ∨ − v t). Finally, the soundness and completeness of the aforementioned logics are also proven. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PROPOSITION (Logic)
*MANY-valued logic
*LOGIC
Subjects
Details
- Language :
- English
- ISSN :
- 01650114
- Volume :
- 445
- Database :
- Academic Search Index
- Journal :
- Fuzzy Sets & Systems
- Publication Type :
- Academic Journal
- Accession number :
- 158208253
- Full Text :
- https://doi.org/10.1016/j.fss.2022.03.006