Ordering based 2-uninorm on bounded lattice

Uninorm-based Residuated Lattice

Lattice-ordered monoids are important backgrounds and algebraic foundations of residuum in general. The t-norm based lattices are investigated widely in fuzzy models, but in recent time while researching new approximate reasoning methods in soft computing based models and fuzzy models, the investigations are focused on new types of operators, like uninorms. It is necessary to find and define co...

Lattice Ordering on Banach Spaces1

the American Mathematical Society vol. 3 (1952) pp. 821-828. 2. Nils Sjöberg, Sur les minorantes sousharmoniques d'une fonction donnée, Proceedings of the Ninth Scandanavian Mathematical Congress, Helsingfors, 1938, pp. 309-319. 3. Marcel Brelot, Minorantes sous-harmoniques, extrémales et capacités, J. Math. Pures Appl. (9) vol. 24 (1945) pp. 1-32. 4. E. Szpilrajn, Remarques sur les fonctions s...

Approximating Bounded Occurrence Ordering CSPs

A theorem of Håstad shows that for every constraint satisfaction problem (CSP) over a fixed size domain, instances where each variable appears in at most O(1) constraints admit a non-trivial approximation algorithm, in the sense that one can beat (by an additive constant) the approximation ratio achieved by the naive algorithm that simply picks a random assignment. We consider the analogous que...

A contour view on uninorm properties

On the orientational ordering of long rods on a lattice

– We argue that a system of straight rigid rods of length k on square lattice with only hard-core interactions shows two phase transitions as a function of density ρ for k ≥ 7. The system undergoes a phase transition from the low-density disordered phase to a nematic phase as ρ is increased from 0 at ρ = ρc1, and then again undergoes a reentrant phase transition from the nematic phase to a diso...