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On solving relational equations in Brouwerian lattices

✍ Scribed by Antonio Di Nola

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
448 KB
Volume
34
Category
Article
ISSN
0165-0114

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πŸ“œ SIMILAR VOLUMES

Infinite fuzzy relational equations on a
Infinite fuzzy relational equations on a complete Brouwerian lattice
✍ Wang Xue-ping πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 212 KB

Let I be a ΓΏnite and J an inΓΏnite index sets, A = (a ij ) I Γ—J and B = (b i ) i∈I a given matrix and a column vector with elements from a complete Brouwerian lattice. In this paper, the problem of a minimal solution of a fuzzy relational equation A X = B, where is the sup-inf composite operation, is

T-type regular L-relations on a complete
T-type regular L-relations on a complete Brouwerian lattice
✍ Zhudeng Wang πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 213 KB

In this paper, using a general inÿnitely ∨-distributive t-norm T on a complete Brouwerian lattice L, we introduce the concept of T -type regular L-relations, study some basic properties of them, and give out some methods of calculating the maximal T -type generalized inverse L-relations of T -type r

Residuated lattices arising from equival
Residuated lattices arising from equivalence relations on Boolean and Brouwerian algebras
✍ Thomas Vetterlein πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 185 KB

## Abstract Logics designed to deal with vague statements typically allow algebraic semantics such that propositions are interpreted by elements of residuated lattices. The structure of these algebras is in general still unknown, and in the cases that a detailed description is available, to underst

Specificity shift in solving fuzzy relat
Specificity shift in solving fuzzy relational equations
✍ Kaoru Hirota; Witold Pedrycz πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 637 KB

Studied is a system of "N" fuzzy relational equations with a max-t composition where the input-output fuzzy sets (x(k) and y(k)) are available while the fuzzy relation (R) needs to be determined. The solution to these equations is derived through a new paradigm of specificity shift. The main object