Roughness of a fuzzy set
Information SciencesPublished 1 September 1996
Mohua Banerjee, Sankar K. Pal
Citations201
SJR quartileQ1
SJR score1.80
SNIP1.98
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
An integration between the theories of fuzzy sets and rough sets has been attempted by providing a measure of roughness of a fuzzy set, and several properties of this new measure are established.
Abstract
An integration between the theories of fuzzy sets and rough sets has been attempted by providing a measure of roughness of a fuzzy set. Several properties of this new measure are established. Some of the possible applications for handling uncertainties in the field of pattern recognition are mentioned.
Keywords
Computer ScienceDecision Sciences
International Journal of Parallel ProgrammingRough sets
12,138 Citations1982Zdzis aw Pawlak
The presented approach may be considered as an alternative to fuzzy sets theory and tolerance theory and some applications are outlined.
IEEE Transactions on Systems Man and CyberneticsOutline of a New Approach to the Analysis of Complex Systems and Decision Processes
8,667 Citations1973Lotfi A. Zadeh
By relying on the use of linguistic variables and fuzzy algorithms, the approach provides an approximate and yet effective means of describing the behavior of systems which are too complex or too ill-defined to admit of precise mathematical analysis.
Rough Sets: Theoretical Aspects of Reasoning about Data
8,416 Citations1991Zdzisław Pawlak
International Journal of General SystemsROUGH FUZZY SETS AND FUZZY ROUGH SETS*
2,948 Citations1990Didier Dubois, Henri Prade
It is argued that both notions of a rough set and a fuzzy set aim to different purposes, and it is more natural to try to combine the two models of uncertainty (vagueness and coarseness) rather than to have them compete on the same problems.
Fuzzy Sets and SystemsIntelligent decision support. Handbook of applications and advances of the rough sets theory
805 Citations1993
Medical Entomology and ZoologyFuzzy Mathematical Approach to Pattern Recognition
512 Citations1986Sankar K. Pal, Dwijesh K. Dutta-Majumder
Results of investigations, both experimental and theoretical, are presented into the effectiveness of fuzzy algorithms as classification tools in some problems concerned with the field of pattern recognition and image processing.
Workshops in computingRough Sets, Fuzzy Sets and Knowledge Discovery
491 Citations1994Wojciech Ziarko
An Overview of Knowledge Discovery in Databases: Recent Progress and Challenges.
Workshops in computingRough Consequence and Rough Algebra
32 Citations1994Mohua Banerjee, M.K. Chakraborty
A notion of rough consequence is investigated in detail and a link between rough consequence and one of the rough algebras is established.
