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Extension of topological structures using lattices and rough sets

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1 of the 66 references listed on this page is in the Retraction Watch database as retracted (export 2026-11-11): 10.3233/jifs-201706 (notice 2025-04-17).

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-45554-x_21openalex-snapshot
Approximations and Rough Sets Based on Tolerances
inferredcites →https://doi.org/10.1007/978-3-0348-0018-1openalex-snapshot
Lattice Theory: Foundation
inferredcites →https://doi.org/10.1007/978-3-0348-7633-9openalex-snapshot
General Lattice Theory
inferredcites →https://doi.org/10.1007/978-3-540-25929-9_5openalex-snapshot
The Ordered Set of Rough Sets
inferredcites →https://doi.org/10.1007/978-94-017-2529-3_22openalex-snapshot
Finite Intervals in the Lattice of Topologies
inferredcites →https://doi.org/10.1007/bf01001956openalex-snapshot
Rough sets
inferredcites →https://doi.org/10.1007/s00500-021-06456-zopenalex-snapshot
Topological approach to generalized soft rough sets via near concepts
inferredcites →https://doi.org/10.1007/s10462-023-10479-3openalex-snapshot
Multi-level granularity entropies for fuzzy coverings and feature subset selection
inferredcites →https://doi.org/10.1007/s13042-015-0327-8openalex-snapshot
A comparison of three types of rough fuzzy sets based on two universal sets
inferredcites →https://doi.org/10.1016/j.camwa.2006.03.040openalex-snapshot
Reduction method for concept lattices based on rough set theory and its application
inferredcites →https://doi.org/10.1016/j.eswa.2023.121908openalex-snapshot
Covering based multi-granulation rough fuzzy sets with applications to feature selection
inferredcites →https://doi.org/10.1016/j.fiae.2015.09.008openalex-snapshot
Approximation of Rough Soft Set and Its Application to Lattice
inferredcites →https://doi.org/10.1016/j.fss.2019.03.014openalex-snapshot
Some weaker versions of topological residuated lattices
inferredcites →https://doi.org/10.1016/j.ijar.2010.07.010openalex-snapshot
Topology vs generalized rough sets
inferredcites →https://doi.org/10.1016/j.ijar.2014.09.001openalex-snapshot
Connections between covering-based rough sets and concept lattices
inferredcites →https://doi.org/10.1016/j.inffus.2020.11.004openalex-snapshot
Multi-source information fusion based on rough set theory: A review
inferredcites →https://doi.org/10.1016/j.ins.2004.06.006openalex-snapshot
Rough operations on Boolean algebras
inferredcites →https://doi.org/10.1016/j.ins.2005.05.009openalex-snapshot
Rough approximations on a complete completely distributive lattice with applications to generalized rough sets
inferredcites →https://doi.org/10.1016/j.ins.2008.06.021openalex-snapshot
The algebraic structures of generalized rough set theory
inferredcites →https://doi.org/10.1016/j.ins.2012.02.060openalex-snapshot
Rough set theory applied to lattice theory
inferredcites →https://doi.org/10.1016/j.ins.2012.06.029openalex-snapshot
Topological and lattice structures of -fuzzy rough sets determined by lower and upper sets
inferredcites →https://doi.org/10.1016/j.ins.2013.06.031openalex-snapshot
A study of rough sets based on 1-neighborhood systems
inferredcites →https://doi.org/10.1016/j.ins.2013.12.035openalex-snapshot
Rough sets based on complete completely distributive lattice
inferredcites →https://doi.org/10.1016/j.ins.2014.02.082openalex-snapshot
Rough sets induced by ideals in lattices
inferredcites →https://doi.org/10.1016/j.ins.2014.11.053openalex-snapshot
Relations of reduction between covering generalized rough sets and concept lattices
inferredcites →https://doi.org/10.1016/j.ins.2016.01.029openalex-snapshot
Rough sets and matroids from a lattice-theoretic viewpoint
inferredcites →https://doi.org/10.1016/j.ins.2019.02.034openalex-snapshot
The lattice and matroid representations of definable sets in generalized rough sets based on relations
inferredcites →https://doi.org/10.1016/j.ins.2023.01.141openalex-snapshot
Novel variable precision fuzzy rough sets and three-way decision model with three strategies
inferredcites →https://doi.org/10.1016/j.jalgebra.2013.01.005openalex-snapshot
Finite atomic lattices and resolutions of monomial ideals
inferredcites →https://doi.org/10.1016/j.joems.2014.12.007openalex-snapshot
On generalizing covering approximation space
inferredcites →https://doi.org/10.1016/j.jpaa.2019.106202openalex-snapshot
Cevian operations on distributive lattices
inferredcites →https://doi.org/10.1016/j.knosys.2010.07.001openalex-snapshot
Relation between concept lattice reduction and rough set reduction
inferredcites →https://doi.org/10.1016/j.topol.2007.08.014openalex-snapshot
On extensions of topological spaces in terms of ideals
inferredcites →https://doi.org/10.1016/j.topol.2010.10.003openalex-snapshot
Insertion and extension theorems for lattice-valued functions on preordered topological spaces
inferredcites →https://doi.org/10.1016/j.topol.2019.06.006openalex-snapshot
Gaps in lattices of (para)topological group topologies and cardinal functions
inferredcites →https://doi.org/10.1016/s0888-613x(96)00071-0openalex-snapshot
Two views of the theory of rough sets in finite universes
inferredcites →https://doi.org/10.1017/cbo9780511809088openalex-snapshot
Introduction to Lattices and Order
inferredcites →https://doi.org/10.1063/5.0117062openalex-snapshot
On nano topological spaces with grill-generalized open and closed sets
inferredcites →https://doi.org/10.1063/5.0117064openalex-snapshot
On grill-semi-P-separation axioms
inferredcites →https://doi.org/10.1080/00029890.1964.11992195openalex-snapshot
Simple Extensions of Topologies
inferredcites →https://doi.org/10.1090/s0002-9904-1946-08602-4openalex-snapshot
Lattices, equivalence relations, and subgroups
inferredcites →https://doi.org/10.1109/tcyb.2021.3054742openalex-snapshot
Discernibility Measures for Fuzzy β Covering and Their Application
inferredcites →https://doi.org/10.1109/tfuzz.2021.3093202openalex-snapshot
Noise-Tolerant Fuzzy-$\beta$-Covering-Based Multigranulation Rough Sets and Feature Subset Selection
inferredcites →https://doi.org/10.1109/tnnls.2022.3193929openalex-snapshot
Heterogeneous Feature Selection Based on Neighborhood Combination Entropy
inferredcites →https://doi.org/10.1109/tsmc.2023.3321315openalex-snapshot
Robust Feature Selection Using Multigranulation Variable-Precision Distinguishing Indicators for Fuzzy Covering Decision Systems
inferredcites →https://doi.org/10.1155/2022/2989236openalex-snapshot
Topological Models of Rough Sets and Decision Making of COVID‐19
inferredcites →https://doi.org/10.1155/2023/4723233openalex-snapshot
Economic Decision-Making Using Rough Topological Structures
inferredcites →https://doi.org/10.1216/rmj-1975-5-2-177openalex-snapshot
The lattice of topologies: A survey equations
inferredcites →https://doi.org/10.1504/ijgcrsis.2014.068022openalex-snapshot
On relationships between revised rough fuzzy approximation operators and fuzzy topological spaces
inferredcites →https://doi.org/10.1504/ijgcrsis.2014.068032openalex-snapshot
Comparison between rough set approximations based on different topologies
inferredcites →https://doi.org/10.22436/jmcs.033.02.08openalex-snapshot
A topological tool to develop novel rough set
inferredcites →https://doi.org/10.2298/fil2001153aopenalex-snapshot
Some topological structures of fractals and their related graphs
inferredcites →https://doi.org/10.2307/1968976openalex-snapshot
Extensions of Topological Spaces
inferredcites →https://doi.org/10.3233/fi-1996-272301openalex-snapshot
ROUGH SETS, ROUGH RELATIONS AND ROUGH FUNCTIONS
inferredcites →https://doi.org/10.3233/fi-2011-422openalex-snapshot
Two Semantic Issues in a Probabilistic Rough Set Model
inferredcites →https://doi.org/10.3233/jifs-200126openalex-snapshot
Topological approaches of graphs and their applications by neighborhood systems and rough sets
inferredcites →https://doi.org/10.3233/jifs-201706openalex-snapshot
A new type of generalized picture fuzzy soft set and its application in decision making
inferredcites →https://doi.org/10.3390/math9182275openalex-snapshot
Two Different Views for Generalized Rough Sets with Applications
inferredcites →https://doi.org/10.3390/sym14010095openalex-snapshot
Some Topological Approaches for Generalized Rough Sets and Their Decision-Making Applications
inferredcites →https://doi.org/10.3906/mat-2008-93openalex-snapshot
Softβ-rough sets and their application to determine COVID-19
inferredcites →https://doi.org/10.3934/math.2022139openalex-snapshot
θβ-ideal approximation spaces and their applications
inferredcites →https://doi.org/10.3934/math.20231379openalex-snapshot
Topological visualization and graph analysis of rough sets via neighborhoods: A medical application using human heart data
inferredcites →https://doi.org/10.3934/math.2023455openalex-snapshot
Medical diagnosis for the problem of Chikungunya disease using soft rough sets
inferredcites →https://doi.org/10.4153/cjm-1967-040-9openalex-snapshot
On Extensions of Topologies
inferredcites →https://doi.org/10.4153/cmb-1964-001-5openalex-snapshot
Extensions of Topological Spaces
inferredcites →https://doi.org/10.5391/ijfis.2023.23.2.162openalex-snapshot
On Fuzzy Point Applications of Fuzzy Topological Spaces

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/s40747-025-01879-9openalex-snapshot
Graph-based multi-attribute decision-making method with new fuzzy information measures
inferred← citeshttps://doi.org/10.1016/j.heliyon.2024.e31288openalex-snapshot
The accurate diagnosis for COVID-19 variants using nearly initial-rough sets
inferred← citeshttps://doi.org/10.1142/s1793005727500694openalex-snapshot
Rough Approximations of Soft Ideals in Lattices Under Soft Relation: A Multi-Criteria Group Decision-Making Perspective
inferred← citeshttps://doi.org/10.1155/jom/3660027openalex-snapshot
Fuzzy Soft Topological Approaches Based on p ‐Fuzzy Soft Ω‐Open Sets
inferred← citeshttps://doi.org/10.1155/jom/6890684openalex-snapshot
New Continuity Structures for Fuzzy Multifunctions via υ ‐Fuzzy γ ‐Open Sets and Fuzzy Ideals
inferred← citeshttps://doi.org/10.3934/math.20241061openalex-snapshot
Decision-making in diagnosing heart failure problems using basic rough sets
inferred← citeshttps://doi.org/10.3934/math.20241553openalex-snapshot
Unavoidable corrections for $ \theta\beta $-ideal approximation spaces
inferred← citeshttps://doi.org/10.3934/math.2026290openalex-snapshot
Ideal topological approaches to hyperconnected and irresolvable spaces
inferred← citeshttps://doi.org/10.3934/math.2026773openalex-snapshot
On the flexibility of monophonic paths and connectedness property: application to the human circulatory system
inferred← citeshttps://doi.org/10.47836/mjms.19.4.11openalex-snapshot
Novel Classes of Sets in Ideal C˘ ech Closure Spaces
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