On characterization of rough type-2 fuzzy sets
type: Item
instance of: scholarly article
title: On characterization of rough type-2 fuzzy sets
zbMATH Open document ID: 1400.03069
DOI: 10.1155/2016/4819353
author: Tao Zhao
author: Zhenbo Wei
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: Rough sets theory and fuzzy sets theory are important mathematical tools to deal with uncertainties. Rough fuzzy sets and fuzzy rough sets as generalizations of rough sets have been introduced. Type-2 fuzzy set provides additional degree of freedom, which makes it possible to directly handle high uncertainties. In this paper, the rough type-2 fuzzy set model is proposed by combining the rough set theory with the type-2 fuzzy set theory. The rough type-2 fuzzy approximation operators induced from the Pawlak approximation space are defined. The rough approximations of a type-2 fuzzy set in the generalized Pawlak approximation space are also introduced. Some basic properties of the rough type-2 fuzzy approximation operators and the generalized rough type-2 fuzzy approximation operators are discussed. The connections between special crisp binary relations and generalized rough type-2 fuzzy approximation operators are further examined. The axiomatic characterization of generalized rough type-2 fuzzy approximation operators is also presented. Finally, the attribute reduction of type-2 fuzzy information systems is investigated.
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 6953231
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/4819353
OpenAlex ID: W2272681677
Wikidata QID: Q59131391
cites work: Rough sets
cites work: Fuzzy sets
cites work: An efficient approach for reducing the conservatism of LMI-based stability conditions for continuous-time T-S fuzzy systems
cites work: Twofold fuzzy sets and rough sets - some issues in knowledge representation
cites work: An axiomatic characterization of a fuzzy generalization of rough sets.
cites work: Axiomatic systems for rough sets and fuzzy rough sets
cites work: Generalized fuzzy rough sets
cites work: Constructive and axiomatic approaches of fuzzy approximation operators.
cites work: Fuzzy-rough attribute reduction with application to web categorization.
cites work: Intuitionistic fuzzy sets
cites work: Intuitionistic fuzzy sets. Theory and applications
cites work: On generalized intuitionistic fuzzy rough approximation operators
cites work: On characterization of intuitionistic fuzzy rough sets based on intuitionistic fuzzy implicators
cites work: On intuitionistic fuzzy rough sets and their topological structures
cites work: Generalized intuitionistic fuzzy rough sets based on intuitionistic fuzzy coverings
cites work: Interval valued intuitionistic fuzzy sets
cites work: An Interval-Valued Intuitionistic Fuzzy Rough Set Model
cites work: An interval-valued rough intuitionistic fuzzy set model
cites work: The concept of a linguistic variable and its application to approximate reasoning. I
cites work: A variable precision interval type-2 fuzzy rough set model for attribute reduction
cites work: On characterization of generalized interval type-2 fuzzy rough sets
cites work: A new approach to similarity and inclusion measures between general type-2 fuzzy sets
cites work: General type-2 fuzzy rough sets based on \(\alpha\)-plane representation theory
cites work: A model for type-2 fuzzy rough sets
cites work: Type-2 fuzzy rough sets based on extended t-norms
cites work: Uncertain rule-based fuzzy logic systems: introduction and new directions
description: scientific article; zbMATH DE number 6953231