Fuzzy neighborhood spaces
From MaRDI portal
Publication:1165483
DOI10.1016/0165-0114(82)90048-3zbMath0487.54008OpenAlexW1990351279MaRDI QIDQ1165483
Publication date: 1982
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0165-0114(82)90048-3
Related Items
On saturated prefilter monads, A CATEGORY OF L-FUZZY CONVERGENCE SPACES, COMPLETENESS IN FUZZY UNIFORM SPACES, PRECOMPACTNESS IN FUZZY UNIFORM SPACES, COMPLETENESS IN LINEAR FUZZY NEIGHBORHOOD SPACES, Relationships between L-fuzzy quasi-uniform structures and L-fuzzy topologies, RELATIVE COMPACTNESS AND COMPACTNESS OF GENERAL SUBSETS IN ANI- TOPOLOGICAL SPACE, On the \(R_ 0\)-property in fuzzy topology, Pseudo-closure operators in fuzzy topological spaces, The Urysohn lemma for fuzzy neighbourhood spaces, Applications of localic separation axioms, compactness axioms, representations, and compactifications to poslat topological spaces, On co-optimal lifts in the category of fuzzy neighbourhood spaces, Bounded linear transformations between probabilistic normed vector spaces, Stable subconstructs of FTS. II, On the Metrizability of Fuzzy Neighborhood Spaces, A category of complete residuated lattice-value neighborhood groups, On consistent functions for neighborhood systems, Uniform spaces based on a way below relation, On L-fuzzy interior operators and L-fuzzy quasi-uniform spaces, Upper M-approximate operators and M-closed sets1, Stability under Homeomorphisms in FTS, Lowen spaces, SIERPINSKI OBJECTS IN SUBCATEGORIES OF FTS, Fuzzy inner product spaces, THE FUZZY UNIFORMISATION OF FUNCTION SPACES, EMBEDDINGS INTO THE CATEGORY OF SUPER UNIFORM SPACES, Further results on \(L\)-valued filters, Fuzzy convergence: open and proper maps, On two types of stable subconstructs of FTS, Fuzzy neighborhood operators based on fuzzy coverings, On two types of stable subconstructs of FTS, Even continuity and equicontinuity in fuzzy topology, Characterizations of fuzzifying topologies by some limit structures, ENRICHED LATTICE-VALUED TOPOLOGICAL GROUPS, On fuzzification of topological categories, A note on compactness in a fuzzy metric space, ON THE RELATIONSHIPS BETWEEN VARIOUS LATTICE-VALUED TOPOLOGICAL GROUPS AND THEIR UNIFORMITIES, Fuzzy preuniform structures and the structures they induce. I: Main results. II: Applications, \(\mathbf{FNS}\) is not isomorphic to \(\mathbf{FTS}\), The saturated prefilter monad, Generalized possibility measures, A fuzzy \(R_ 1\) separation axiom, Fuzzy fields and fuzzy linear spaces, \(T\)-syntopogenous structures compatible with fuzzy \(T\)-uniformities and fuzzy \(T\)-neighbourhoods structures, Fuzzy topologies with specified level properties, Global \(L\)-neighborhood groups, Filters in fuzzy class theory, On the category of fixed basis frame valued topological groups, \(I\)-\textbf{FTOP} is isomorphic to \(I\)-\textbf{FQN} and \(I\)-\textbf{AITOP}, \(L\)-fuzzifying topologies as \(L\)-topologies, A theory of fuzzy uniformities with applications to the fuzzy real lines, A level-topologies criterion for Lowen fuzzy uniformizability, On fuzzy neighborhood groups, On level-topologies and maximality of fuzzy topological spaces, A note on fuzzy neighbourhood base spaces, Concerning the constants in fuzzy topology, Fuzzy neighborhood structures and fuzzy quasi-uniformities, Connectedness and local connectedness in Lowen spaces, An enriched category approach to many valued topology, Hyperspace fuzzy binary relations, Fuzzy \(T\)-locality spaces, Fuzzy syntopogeneous structures and order, Fuzzy proximities induced by functional fuzzy separation, On sequentially closed graph mappings in fuzzy neighbourhood spaces, Reflectors and coreflectors in the category of fuzzy topological spaces, Semi-induced fuzzy topologies, Basic structures of fuzzy topology, A short note on fuzzy neighborhood convergence spaces, Generalised filters. II, Lowen LM-fuzzy topological spaces, On fuzzy uniformities induced by a fuzzy metric space, Fuzzy topological spaces with conical neighborhood systems, On fuzzy neighborhood modules and algebra, On fuzzy neighborhood rings, Fuzzy syntopogenous structures compatible with Lowen fuzzy uniformities and Artico-Moresco fuzzy proximities, A comparison of various uniformities in fuzzy topology., Compactness notions in fuzzy neighborhood spaces, On fuzzy neighbourhood spaces, Frame-fuzzy points and membership, Operations on fuzzy syntopogenous structures, Fuzzy neighbourhood syntopogenous structures, Dual fuzzy neighbourhood spaces. I, On regularity axioms in fuzzy neighbourhood spaces, Continuity of fuzzy multiplication in the \(N\)-Euclidean space, Sequential convergence in fuzzy neighborhood spaces, Fuzzy metric neighbourhood spaces, Strictly minimal fuzzy neighborhood division rings, Invariant probabilistic metrizability of fuzzy neighbourhood groups, Pseudo-closure operators in fuzzy neighbourhood-base spaces, Functions with closed graphs and strongly closed graphs in fuzzy neighbourhood spaces, K. Fan's theorem in fuzzifying topology, A short note on fuzzy neighbourhood spaces, Nearness concepts in fuzzy neighbourhood spaces and in their fuzzy proximity spaces, Sobriety of quantale-valued cotopological spaces, Linear fuzzy neighborhood spaces. II, Saturated fuzzy syntopogeneous spaces, Minimal locally bounded fuzzy neighborhood rings and commutative division rings, On fuzzy pseudo-normed vector spaces, Pointwise convergence, continuous convergence and even continuity in FNS, The fuzzy Hausdorff-Bourbaki structures and their relations with the fuzzy Vietoris structures, The relationship between various filter notions on a \(GL\)-monoid, Completeness, compactness, and precompactness in fuzzy uniform spaces. I, The theory of global fuzzy neighborhood structures. I: The general case, Stable subconstructs of FTS. III: Exotic cases, The theory of global fuzzy neighborhood structures. II: Fuzzy topogenous orders, The theory of global fuzzy neighborhood structures. III: Fuzzy uniform structures, On separation axioms in fuzzy topological spaces, fuzzy neighborhood spaces, and fuzzy uniform spaces, Net-convergence in fuzzy neighborhood spaces, Categories isomorphic to FNS, Alternative characterizations of \(\mathbf{FNCS}\), A short note on fuzzy neighbourhood convergence spaces, Generalised filters. I, Hyperspaces of fuzzy sets, Completeness, compactness, and precompactness in fuzzy uniform spaces. II, Some categorical aspects of fuzzy topology, Characterizations of some fuzzy topological notions in probabilistic metric spaces, The productivity classes of fuzzy topologies, The relationship between a fuzzy uniformity and its family of \(\alpha\)-level uniformities, Cauchy filters and prefilters, Some properties of fuzzy neighborhood normed linear spaces, Conditions on a semigroup to be a fuzzy neighborhood group, Fuzzy \(T\)-neighbourhood spaces. III: \(T\)-separation axioms, Generalized Lowen functors, On two theories of fuzzy syntopogeny for the framework FNS, On the determination of fuzzy topological spaces and fuzzy neighbourhood spaces by their level-topologies, On \(R_ 0\) and \(R_ 1\) fuzzy topological spaces: A counterexample, The categorical topology approach to fuzzy topology and fuzzy convergence, On the reflectivity and coreflectivity of \(L\)-fuzzyfying topological spaces in \(L\)-topological spaces., One-point quasi-compactifications for fuzzy neighborhood spaces, Point-set lattice-theoretic topology, Fuzzy \(T\)-neighbourhood spaces. I: \(T\)-proximities, Fuzzy \(T\)-neighbourhood spaces. II: \(T\)-neighbourhood systems, Boundedness in uniform spaces and fuzzy uniform spaces, Sequential compactness in fuzzy neighbourhood spaces, Characteristic values of T-filters, Linear fuzzy neighborhood spaces, Mathematics and fuzziness, some personal reflections
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Probabilistische Topologien
- Fuzzy topologies characterized by neighborhood systems
- Compact Hausdorff fuzzy topological spaces are topological
- Fuzzy uniform spaces
- Fuzzy topological spaces and fuzzy compactness
- A comparison of different compactness notions in fuzzy topological spaces
- Neighborhoods, bases and continuity in fuzzy topological spaces
- Convergence in fuzzy topological spaces
- Fuzzy sets
