In this paper, we define the notions of fuzzy congruence relations and fuzzy convex subalgebras on a commutative residuated lattice and we obtain some related results. In particular, we will show that there exists a one to one correspondence between the set of all fuzzy congruence relations and the set of all fuzzy convex subalgebras on a commutative residuated lattice. Then we study fuzzy...

We consider extension of important characteristics finite solvable PT-groups to the class periodic locally FC-groups.

1 LIP6, Boîte 169, 4 Place Jussieu, 75 252 Paris Cedex 05, France. e-mail: [email protected] 2 SONY CSL-Paris, 6 rue Amyot, 75 005 Paris, France. e-mail: [email protected] Abstract. Symmetry in constraint satisfaction problems (CSP) can be used to either compute only a subset of the total solution set, or to prune branches of the search tree. However, detecting symmetry in general is a diffic...

It is shown that the well-known LANDAu-damping entropy paradox can be resolved by considering a macroscopic entropy as defined by CLAUSIUS instead of the microscopic entropy defined by BOLTZMANN. Although both entropy definitions are identical for equilibrium configurations, the same in general is not true for non-equilibrium configurations. To extend the entropy definition of CLAUSIUS to non-e...