A degree approach to relationship among fuzzy convex structures, fuzzy closure systems and fuzzy Alexandrov topologies

DOI10.1515/math-2019-0072zbMath1430.54016OpenAlexW2969096353MaRDI QIDQ2278419

Zhen-Yu Xiu, Lan Wang, Xiu-Yun Wu

Publication date: 5 December 2019

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2019-0072

zbMATH Keywords

fuzzy topologyfuzzy closure systemfuzzy convex structure

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Fuzzy topology (54A40)

Related Items

Fuzzy convergence structures in the framework of L-convex spaces, Some new results on six types mappings between L-convex spaces, Bases and subbases in \((L, M)\)-fuzzy convex spaces, Hull operators and interval operators in \((L,M)\)-fuzzy convex spaces, (L,M)-fuzzy topological-convex spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Degrees of compactness in \((L, M)\)-fuzzy convergence spaces and its applications
• On stratified \(L\)-convergence spaces: pretopological axioms and diagonal axioms
• Stratified \(L\)-prefilter convergence structures in stratified \(L\)-topological spaces
• A new definition of order relation for the introduction of algebraic fuzzy closure operators
• On fuzzy topology fuzzy convexity spaces and fuzzy local convexity
• \(L\)-fuzzifying approximation operators in fuzzy rough sets
• Fuzzy counterparts of hull operators and interval operators in the framework of \(L\)-convex spaces
• An axiomatic approach to bases and subbases in \(L\)-convex spaces and their applications
• A new approach to the fuzzification of convex structures
• \(p\)-topologicalness and \(p\)-regularity for lattice-valued convergence spaces
• On \((L; M)\)-fuzzy convergence spaces
• One-to-one correspondence between fuzzifying topologies and fuzzy preorders
• Subcategories of the category of \(L\)-convex spaces
• A new approach for fuzzy topology. I
• The restricted hull operator of M-fuzzifying convex structures1
• M-fuzzifying cotopological spaces and M-fuzzifying convex spaces as M-fuzzifying closure spaces
• (L,M) -fuzzy convex structures
• Strong inclusion orders between L-subsets and its applications in L-convex spaces
• BASE AXIOMS AND SUBBASE AXIOMS IN M-FUZZIFYING CONVEX SPACES
• Degrees of separation properties in stratified L-generalized convergence spaces using residual implication
• Categorical properties of L-fuzzifying convergence spaces
• Convergence structures in M-fuzzifying convex spaces
• Stratified L-ordered filter spaces
• Fuzzy topological spaces