Results 41 to 50 of about 3,651 (294)

Overlap Functions Based (Multi-Granulation) Fuzzy Rough Sets and Their Applications in MCDM [PDF]

, 2021
Through a combination of overlap functions (which have symmetry and continuity) and a fuzzy β-covering fuzzy rough set (FCFRS), a new class of FCFRS models is established, and the basic properties of the new fuzzy β-neighborhood lower and upper ...
Xiaohong Zhang, Xiaofeng Wen
core   +1 more source

Editing Training Sets from Imbalanced Data Using Fuzzy-Rough Sets [PDF]

, 2015
Part 3: Data Representation and AnalysisInternational audienceIn this research, we study several instance selection methods based on rough set theory and propose an approach able to deal with inconsistency caused by noise and imbalanced data.
Do Van Nguyen, Hashimoto, Masayuki, Nguyen, Do, Van, Matsumoto, Kazunori, Ogawa, Keisuke, Keisuke Ogawa, Kazunori Matsumoto, Masayuki Hashimoto   +7 more
core   +1 more source

On Some Types of Covering-Based ℐ,T-Fuzzy Rough Sets and Their Applications [PDF]

, 2021
The notions of the fuzzy β-minimal and maximal descriptions were established by Yang et al. (Yang and Hu, 2016 and 2019). Recently, Zhang et al. (Zhang et al.
Hussain AlSalman, Mohammed Atef, Abdu Gumaei, José Carlos R. Alcantud   +3 more
core   +1 more source

A novel algorithm for finding reducts with fuzzy rough sets [PDF]

, 2012
Attribute reduction is one of the most meaningful research topics in the existing fuzzy rough sets, and the approach of discernibility matrix is the mathematical foundation of computing reducts.
Zhao, S, Zhu, P, Chen, D, Zhang, L, Lei Zhang, Hu, Q, Suyun Zhao, Qinghua Hu, Degang Chen, Pengfei Zhu   +9 more
core   +1 more source

On Covering-Based Rough Intuitionistic Fuzzy Sets

Mathematics, 2022
Intuitionistic Fuzzy Sets (IFSs) and rough sets depending on covering are important theories for dealing with uncertainty and inexact problems. We think the neighborhood of an element is more realistic than any cluster in the processes of classification ...
R. Mareay, Ibrahim Noaman, Radwan Abu-Gdairi, M. Badr   +3 more
doaj   +1 more source

A discussion of attribute reduction in fuzzy rough sets using support vector machine [PDF]

, 2006
This paper mainly focuses on the attribute reduction in fuzzy rough sets. An algorithm using discernibility matrix to compute all the attribute reductions is developed.
Zhao, S, Tsang, ECC, He, Q, Eric. C.C. Tsang, Chen, D, Qiang He, Suyun Zhao, Degang Chen   +7 more
core   +1 more source

Multimodal Data‐Driven Microstructure Characterization

Advanced Engineering Materials, EarlyView.
A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang, Santiago Benito, Özge Özgün, Sebastian Weber, Markus Stricker   +4 more
wiley   +1 more source

Extended Generalization of Fuzzy Rough Sets [PDF]

, 2019
This paper extends and generalizes the approximations of fuzzy rough sets dealing with fuzzy coverings of the universe induced by a weak fuzzy similarity relation.
Intan, Rolly, Chan, Shueng-Han Gary
core   +2 more sources

L-Fuzzy rough point-wise proximity spaces

Applied General Topology
In this paper, we study the concept of nearness between L-fuzzy rough sets and L-fuzzy points. The nearness between two L-fuzzy rough sets are viewed in terms of this new concept.
Virendra Kumar, Surabhi Tiwari
doaj   +1 more source

Rough Fuzzy Hyperideals in Ternary Semihypergroups

Advances in Fuzzy Systems, 2012
The relations between rough sets and algebraic systems have been already considered by many mathematicians, and rough sets have been studied in various kinds of algebraic systems.
Naveed Yaqoob, Muhammad Aslam, Kostaq Hila   +2 more
doaj   +1 more source