Sergei V. Ovchinnikov, Teresa Riera Madurell (1983)
Stochastica
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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).
Antonio Di Nola (1984)
Stochastica
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This paper deals with the problem of the determination of lower solutions of fuzzy relational equations. An algorithm of calculation of such a solution is presented.
Sergei V. Ovchinnikov (1980)
Stochastica
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All possible involutions in fuzzy set theory are completely described. Any involution is a composition of a symmetry on a universe of fuzzy sets and an involution on a truth set.
Ronald R. Yager (1983)
Stochastica
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In this short note we show that for fuzzy sets of type II the additive rule for cardinalities holds true. The proof of this result requires an application of approximate reasoning as means of inference by use of the entailment principle.
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...
Pedro J. Burillo López, Ramón Fuentes González (1984)
Stochastica
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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.
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.
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...