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On almost equitable uninorms

Gang Li, Hua-Wen Liu, János Fodor (2015)

Kybernetika

Uninorms, as binary operations on the unit interval, have been widely applied in information aggregation. The class of almost equitable uninorms appears when the contradictory information is aggregated. It is proved that among various uninorms of which either underlying t-norm or t-conorm is continuous, only the representable uninorms belong to the class of almost equitable uninorms. As a byproduct, a characterization for the class of representable uninorms is obtained.

On asymptotic behaviour of universal fuzzy measures

Ladislav Mišík, János T. Tóth (2006)

Kybernetika

The asymptotic behaviour of universal fuzzy measures is investigated in the present paper. For each universal fuzzy measure a class of fuzzy measures preserving some natural properties is defined by means of convergence with respect to ultrafilters.

On completeness and direction in fuzzy relational systems.

Pedro J. Burillo López, Ramón Fuentes-González, León A. González Sotos (1998)

Mathware and Soft Computing

The concepts of bounded subset, complete subset and directed subset, wich are well known in the context of partially ordered sets (X,≤), are extended in order to become appliable, with coherence, in fuzzy relational systems (X,R). The properties of these generalized structures are analyzed and operative exemples of them are presented.

On four intuitionistic fuzzy topological operators.

Krassimir T. Atanassov (2001)

Mathware and Soft Computing

Four new operators, which are analogous of the topological operators interior and closure, are defined. Some of their basic properties are studied. Their geometrical interpretations are given.

On fuzzification of the notion of quantaloid

Sergey A. Solovyov (2010)

Kybernetika

The paper considers a fuzzification of the notion of quantaloid of K. I. Rosenthal, which replaces enrichment in the category of ⋁ -semilattices with that in the category of modules over a given unital commutative quantale. The resulting structures are called quantale algebroids. We show that their constitute a monadic category and prove a representation theorem for them using the notion of nucleus adjusted for our needs. We also characterize the lattice of nuclei on a free quantale algebroid. At...

On fuzzy B -algebras

Young Bae Jun, Eun Hwan Roh, Hee Sik Kim (2002)

Czechoslovak Mathematical Journal

The fuzzification of (normal) B -subalgebras is considered, and some related properties are investigated. A characterization of a fuzzy B -algebra is given.

On fuzzy input data and the worst scenario method

Jan Chleboun (2003)

Applications of Mathematics

In practice, input data entering a state problem are almost always uncertain to some extent. Thus it is natural to consider a set 𝒰 a d of admissible input data instead of a fixed and unique input. The worst scenario method takes into account all states generated by 𝒰 a d and maximizes a functional criterion reflecting a particular feature of the state solution, as local stress, displacement, or temperature, for instance. An increase in the criterion value indicates a deterioration in the featured quantity....

On fuzzy sets.

Tofan, Doina, Tofan, Ioan, Volf, Claudiu Aurelian (2001)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

On granular derivatives and the solution of a granular initial value problem

Ildar Batyrshin (2002)

International Journal of Applied Mathematics and Computer Science

Perceptions about function changes are represented by rules like “If X is SMALL then Y is QUICKLY INCREASING.” The consequent part of a rule describes a granule of directions of the function change when X is increasing on the fuzzy interval given in the antecedent part of the rule. Each rule defines a granular differential and a rule base defines a granular derivative. A reconstruction of a fuzzy function given by the granular derivative and the initial value given by the rule is similar to Euler’s...

On L -fuzzy ideals in semirings. I

Young Bae Jun, Joseph Neggers, Hee Sik Kim (1998)

Czechoslovak Mathematical Journal

In this paper we extend the concept of an L -fuzzy (characteristic) left (resp. right) ideal of a ring to a semiring R , and we show that each level left (resp. right) ideal of an L -fuzzy left (resp. right) ideal μ of R is characteristic iff μ is L -fuzzy characteristic.

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