Probabilistic uniformization of fuzzy topologies

DOI10.1016/0165-0114(78)90021-0zbMath0413.54002OpenAlexW2020391927MaRDI QIDQ598649

Publication date: 1978

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-0114(78)90021-0

zbMATH Keywords

fuzzy uniform structures probabilistic uniformities

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Fuzzy topology (54A40) Uniform structures and generalizations (54E15)

Related Items

Triangular norms and TNF-sigma-algebras, Fuzzy preuniform structures and the structures they induce. I: Main results. II: Applications, On fuzzy uniform spaces, Generalized possibility measures, A fuzzy $R_ 1$ separation axiom, Fundamental duality of abstract categories and its applications, ${\mathfrak G}$-fuzzy topologies on algebraic structures, $T$-syntopogenous structures compatible with fuzzy $T$-uniformities and fuzzy $T$-neighbourhoods structures, Uniform environments as a general framework for metrics and uniformities, COMPLETENESS IN LINEAR FUZZY NEIGHBORHOOD SPACES, On the category of fixed basis frame valued topological groups, Completeness of Hutton [0,1-quasi-uniform spaces], A theory of fuzzy uniformities with applications to the fuzzy real lines, An $n$-ary $\lambda$-averaging based similarity classifier, On initial and final fuzzy uniform structures. II, Concerning the constants in fuzzy topology, Fuzzy information retrieval based on geometric-mean averaging operators, Hyperspace of a fuzzy quasi-uniform space, $(L,\odot)$-approximation spaces and $(L,\odot)$-fuzzy quasi-uniform spaces, Hyperspace fuzzy binary relations, Fuzzy $T$-locality spaces, Fuzzy proximities induced by functional fuzzy separation, Probabilistisch kompakte L-unscharfe Mengen, Basic structures of fuzzy topology, Bounded linear transformations between probabilistic normed vector spaces, Representation theorems for L-fuzzy quantities, $T$-proximity compatible with $T$-neighbourhood structure, On fuzzy uniformities induced by a fuzzy metric space, Construction of fuzzy sigma-algebras using triangular norms, Category-theoretic fuzzy topological spaces and their dualities, A geometric averaging procedure for constructing supertransitive approximation to binary comparison matrices, Probabilistic metrization of fuzzy uniformities, A comparison of various uniformities in fuzzy topology., A metric-like topology yon BL-algebras, Fuzzy TL-uniform spaces, FUZZY SYNTOPOGENEOUS STRUCTURES, Fuzzy uniform structures and continuous t-norms, Compact probabilistic metrics on bounded closed intervals of distribution functions, Forty years of Hutton fuzzy unit interval, Theory of T-norms and fuzzy inference methods, Linear fuzzy neighborhood spaces. II, On fuzzy syntopogeneous structures, A common framework for lattice-valued uniform spaces and probabilistic uniform limit spaces, Fuzzy algebra in triangular norm system, Connectives for fuzzy partitions, On global requirements for implication operators in fuzzy modus ponens, Hyperspaces of fuzzy sets, Fusion of multi-agent preference orderings, Compact ${\mathcal G}$-fuzzy topological spaces, Complete fuzzy topological hyperfields and fuzzy multiplication in the fuzzy real lines, Fuzzy $T$-neighbourhood spaces. III: $T$-separation axioms, Fuzzy uniform structures, Probabilistic topologies induced by $L$-fuzzy uniformities, Fuzzy $T$-neighbourhood spaces. I: $T$-proximities, Fuzzy $T$-neighbourhood spaces. II: $T$-neighbourhood systems, Linear fuzzy neighborhood spaces, Mathematics and fuzziness, some personal reflections, Completeness of Hutton $[0,1$-quasi-uniformities induced by a crisp uniformity]

Cites Work