Dimension theory and fuzzy topological spaces.
Dualidad en la programación lineal en subconjuntos difusos.
La programación lineal sobre subconjuntos difusos, definida por Zimmermann, se desarrolla en estrecha relación con la definición de las funciones pertinentes funciones de pertenencia. Se estudia la dualidad difusa, ligada a la dualidad en los problemas de programación lineal con multicriterios.
-sequential envelopes
Equivalence among some neighborhood structures in fuzzy topology.
Equivalents Of The Variational Principle In Fuzzy And Probabilistic Metric Spaces
Examples of classical and fuzzy Riesz proximities
Examples of fuzzy basic proximities.
Existence of extremal solutions for quadratic fuzzy equations.
Extended contraction principle.
Extremal Disconnectedness in Fuzzy Topological Spaces
-irresolute mappings.
Finite-to-one fuzzy maps and fuzzy perfect maps
In this paper we define, for fuzzy topology, notions corresponding to finite-to-one and -to-one maps. We study the relationship between these new fuzzy maps and various kinds of fuzzy perfect maps. Also, we show the invariance and the inverse inveriance under the various kinds of fuzzy perfect maps (and the finite-to-one fuzzy maps), of different properties of fuzzy topological spaces.
Fixed point theorems in generating spaces of quasi-norm family and applications.
Fixed point theorems of -fuzzy contractions in fuzzy metric spaces endowed with a graph
Let be a fuzzy metric space endowed with a graph such that the set of vertices of coincides with . Then we define a -fuzzy contraction on and prove some results concerning the existence and uniqueness of fixed point for such mappings. As a consequence of the main results we derive some extensions of known results from metric into fuzzy metric spaces. Some examples are given which illustrate the results.
Fuzziness and fuzzy equality
Fuzzy Alpha-connectedness and Fuzzy Alpha-disconnectedness in Fuzzy Topological Spaces
Fuzzy -open sets and fuzzy -continuity in fuzzifying topology.
Fuzzy concepts defined via residuated maps
Fuzzy distances
In the paper, three different ways of constructing distances between vaguely described objects are shown: a generalization of the classic distance between subsets of a metric space, distance between membership functions of fuzzy sets and a fuzzy metric introduced by generalizing a metric space to fuzzy-metric one. Fuzzy metric spaces defined by Zadeh’s extension principle, particularly to are dealt with in detail.
Fuzzy entire sequence spaces.