Displaying similar documents to “Measures of fuzziness based on t-norms.”

Measures of fuzziness and operations with fuzzy sets.

Siegfried Gottwald, Ernest Czogala, Witold Pedrycz (1982)

Stochastica

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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.

A stochastic model of choice.

Sergei V. Ovchinnikov (1985)

Stochastica

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An approach to choice function theory is suggested which is probabilistic and non-deterministic. In the framework of this approach fuzzy choice functions are introduced and a number of necessary and sufficient conditions for a fuzzy choice function to be a fuzzy rational choice function of a certain type are established.

Fuzzy sets as set classes.

Ton Sales (1982)

Stochastica

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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 some isomorphisms of De Morgan algebras of fuzzy sets.

Francesc Esteva (1983)

Stochastica

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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 the fundamentals of fuzzy sets.

Robert Lowen (1984)

Stochastica

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A considerable amount of research has been done on the notions of pseudo complement, intersection and union of fuzzy sets [1], [4], [11]. Most of this work consists of generalizations or alternatives of the basic concepts introduced by L. A. Zadeh in his famous paper [13]: generalization of the unit interval to arbitrary complete and completely distributive lattices or to Boolean algebras [2]; alternatives to union and intersection using the concept of t-norms [3], [10]; alternative...

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

Norberto Corral, M.ª Angeles Gil (1984)

Stochastica

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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...

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

Francesc Esteva (1981)

Stochastica

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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.