Results 31 to 40 of about 185,811 (251)
The rough set model for dual universes and multi granulation over dual universes is an interesting generalization of the Pawlak rough set model. In this paper, we present a pessimistic multigranulation roughness of a fuzzy set based on soft binary ...
Jamalud Din, Muhammad Shabir, Ye Wang
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Choquet-based fuzzy rough sets
Fuzzy rough set theory can be used as a tool for dealing with inconsistent data when there is a gradual notion of indiscernibility between objects. It does this by providing lower and upper approximations of concepts. In classical fuzzy rough sets, the lower and upper approximations are determined using the minimum and maximum operators, respectively ...
Adnan Theerens +2 more
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The major concern of this article is to propose the notion of picture fuzzy rough sets (PFRSs) over two different universes which depend on δ,ζ,ϑ-cut of picture fuzzy relation ℛ on two different universes (i.e., by combining picture fuzzy sets (PFSs ...
Dliouah Ahmed, Binxiang Dai
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Bipolarity highlights the positive and negative facets of a certain dilemma. This script aims to propose a novel multi-criteria decision-making (MCDM) approach based on bipolar fuzzy preference δ-covering based bipolar fuzzy rough set (BFPδC-BFRS) model ...
Rizwana Gul
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Distributed Feature Selection for Big Data Using Fuzzy Rough Sets
© 1993-2012 IEEE. Fuzzy rough-set-based feature selection is an important technique for big data analysis. However, the classic fuzzy rough set algorithm takes all the data correlations into account, which leads to the centralized computing mode ...
Xiong, Fei +17 more
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Pessimistic Multigranulation Rough Set of Intuitionistic Fuzzy Sets Based on Soft Relations
Qian presented multigranulation rough set (MGRS) models based on Pawlak’s rough set (RS) model. There are two types of MGRS models, named optimistic MGRS and pessimistic MGRS. Recently, Shabir et al.
Muhammad Zishan Anwar +3 more
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Rough Standard Neutrosophic Sets: An Application on Standard Neutrosophic Information Systems [PDF]
A rough fuzzy set is the result of the approximation of a fuzzy set with respect to a crisp approximation space. It is a mathematical tool for the knowledge discovery in the fuzzy information systems.
Nguyen Xuan Thao +2 more
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An Efficient Approach to Approximate Fuzzy Ideals of Semirings Using Bipolar Techniques
The bipolar fuzzy (BF) set is an extension of the fuzzy set used to solve the uncertainty of having two poles, positive and negative. The rough set is a useful mathematical technique to handle vagueness and impreciseness.
Muhammad Shabir +3 more
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Dynamic Fuzzy Rough Feature Selection Algorithm
Since data update over time and space constantly, many rough set based incremental techniques have been proposed. Whereas there is less work on fuzzy rough set based feature selection (i.e., attribute reduction) from the dynamic data, especially the ...
NI Peng, LIU Yangming, ZHAO Suyun, CHEN Hong, LI Cuiping
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Uncertainty Measure for Multisource Intuitionistic Fuzzy Information System
Multisource information systems and multigranulation intuitionistic fuzzy rough sets are important extended types of Pawlak’s classical rough set model.
Hong Wang, Hong Li
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