Displaying similar documents to “Equivalents Of The Variational Principle In Fuzzy And Probabilistic Metric Spaces”

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.

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.

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 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.

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

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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...

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 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...