Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9651072 | Information Sciences | 2005 | 23 Pages |
Abstract
In this paper we start with a lattice (X, â¨, â§) and define, in terms of â¨, a family of crisp hyperoperations âp (one hyperoperation for each p â X). We show that, for every p, the hyperalgebra (X, âp) is a join space and the hyperalgebra (X, âp, â§) is very similar to a hyperlattice. Then we use the hyperoperations âp as p-cuts to introduce an L-fuzzy hyperoperation â and show that (X, â) is an L-fuzzy join space and the hyperalgebra (X, âp, â§) is very similar to an L-fuzzy hyperlattice.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Ath. Kehagias, K. Serafimidis,