Results 11 to 20 of about 4,755 (217)

Fundamental properties of fuzzy rough sets based on triangular norms and fuzzy implications: the properties characterized by fuzzy neighborhood and fuzzy topology

Complex & Intelligent Systems, 2023
Fuzzy rough set models are useful tools for dealing with fuzzy and real-valued data. They have been used in many real-world applications. In this paper, we investigate the fuzzy rough set model based on triangular norms and fuzzy implications.
Zhaohao Wang
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Attribute Reduction Methods Based on Pythagorean Fuzzy Covering Information Systems

IEEE Access, 2020
By introducing covering rough sets to Pythagorean fuzzy environment, we construct a new rough set model called the Pythagorean fuzzy λ-covering rough set.
Chen Yan, Haidong Zhang
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Roughness of fuzzy soft sets and related results [PDF]

International Journal of Computational Intelligence Systems, 2015
This paper investigates roughness of fuzzy soft sets. A pair of fuzzy soft rough approximations is proposed and their properties are given. Based on fuzzy soft rough approximations, the concept of fuzzy soft rough sets is introduced.
Zhaowen Li, Tusheng Xie
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Some New Covering-Based Multigranulation Fuzzy Rough Sets and Corresponding Application in Multicriteria Decision Making

Journal of Mathematics, 2021
Multigranulation rough set theory is an important tool to deal with the problem of multicriteria information system. The notion of fuzzy β-neighborhood has been used to construct some covering-based multigranulation fuzzy rough set (CMFRS) models through
Zaibin Chang, Lingling Mao
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A Hesitant Soft Fuzzy Rough Set and its Applications

IEEE Access, 2019
The difficulty of establishing a common membership degree is not because there is a margin of error or some possibility distribution values, but because there is a set of possible values.
Ting Xie, Zengtai Gong
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The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets

Advances in Fuzzy Systems, 2013
Fuzzy set theory, rough set theory, and soft set theory are three effective mathematical tools for dealing with uncertainties and have many wide applications both in theory and practise. Meng et al.
Zhiming Zhang
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New Uncertainty Measure of Rough Fuzzy Sets and Entropy Weight Method for Fuzzy-Target Decision-Making Tables

Journal of Applied Mathematics, 2014
In the rough fuzzy set theory, the rough degree is used to characterize the uncertainty of a fuzzy set, and the rough entropy of a knowledge is used to depict the roughness of a rough classification.
Huani Qin, Darong Luo
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Further Study of Multigranulation T-Fuzzy Rough Sets

The Scientific World Journal, 2014
The optimistic multigranulation T-fuzzy rough set model was established based on multiple granulations under T-fuzzy approximation space by Xu et al., 2012.
Wentao Li, Xiaoyan Zhang, Wenxin Sun
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Pessimistic Multigranulation Roughness of a Fuzzy Set Based on Soft Binary Relations over Dual Universes and Its Application

Mathematics, 2022
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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Topology in the Alternative Set Theory and Rough Sets via Fuzzy Type Theory

Mathematics, 2020
In this paper, we will visit Rough Set Theory and the Alternative Set Theory (AST) and elaborate a few selected concepts of them using the means of higher-order fuzzy logic (this is usually called Fuzzy Type Theory).
Vilém Novák
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