Displaying similar documents to “An algorithm of calculation of lower solutions of fuzzy relational equations.”

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...

On the additivity of the cardinalities of fuzzy sets of type II.

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.

Involutions in fuzzy set theory.

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.

On fuzzy binary relations.

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).

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...

Pairwise fuzzy connectedness between fuzzy sets

Samajh, Singh Thakur, Annamma Philip (1997)

Mathematica Bohemica

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In this paper the concept of fuzzy connectedness between fuzzy sets is generalized to fuzzy bitopological spaces and some of its properties are studied.