Displaying similar documents to “A stochastic model of choice.”

Measures of fuzziness and operations with fuzzy sets.

Siegfried Gottwald, Ernest Czogala, Witold Pedrycz (1982)

Stochastica

Similarity:

We discuss the effects that the usual set theoretic and arithmetic operations with fuzzy sets and fuzzy numbers have with respect to the energies and entropies of the fuzzy sets connected and of the resulting fuzzy sets, and we also compare the entropies and energies of the results of several of those operations.

Fuzzy relation equation under a class of triangular norms: A survey and new results.

Antonio Di Nola, Witold Pedrycz, Salvatore Sessa, Wang Pei Zhuang (1984)

Stochastica

Similarity:

By substituting the classical lattice operator min of the unit real interval with a triangular norm of Schweizer and Sklar, the usual fuzzy relational equations theory of Sanchez can be generalized to wider theory of fuzzy equations. Considering a remarkable class of triangular norms, for such type of equations defined on finite sets, we characterize the upper an lower solutions. We also characterize the solutions posessing a minimal fuzziness measure of Yager valued with...

On some isomorphisms of De Morgan algebras of fuzzy sets.

Francesc Esteva (1983)

Stochastica

Similarity:

In this paper the classes of De Morgan algebras (P(X),∩,U,n) are studied. With respect to isomorphisms of such algebras, being P(X) the fuzzy sets on a universe X taking values in [0,1], U and ∩ the usual union and intersection given by max and min operations and n a proper complement.

On a representation theorem of De Morgan algebras by fuzzy sets.

Francesc Esteva (1981)

Stochastica

Similarity:

Once the concept of De Morgan algebra of fuzzy sets on a universe X can be defined, we give a necessary and sufficient condition for a De Morgan algebra to be isomorphic to (represented by) a De Morgan algebra of fuzzy sets.

Fuzzy sets as set classes.

Ton Sales (1982)

Stochastica

Similarity:

Fuzzy sets have been studied in various forms. We now offer a presentation of fuzzy sets whereby they are conceived as representatives of a whole class of sets (that are themselves subsets of the universe of objects on which the fuzzy set is defined).

On fuzzy binary relations.

Sergei V. Ovchinnikov, Teresa Riera Madurell (1983)

Stochastica

Similarity:

A binary relation language is an important tool of the theory of measurements (see, for example, book [5]). Specifically, the theory of nominal and ordinal scales is based on theories of equivalent relations and weak orderings. These binary relations have a simple structure which can be described as follows (bearing in mind a context of the measurement theory).

The minimun inaccuracy fuzzy estimation: An extension of the maximum likelihood principle.

Norberto Corral, M.ª Angeles Gil (1984)

Stochastica

Similarity:

The present paper deals with the extension of the likelihood estimation to the situation where the experimentation does not provide exact information but rather vague information. The extension process tries to achieve three fundamental objectives: the new method must be an extension of the maximum likelihood method, it has to be very simple to apply and it must allow for an interesting interpretation. These objectives are achieved herein by using the following...