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New Neighborhood Based Rough Sets [PDF]
, 2015 Neighborhood based rough sets are important generalizations of the classical rough sets of Pawlak, as neighborhood operators generalize equivalence classes. In this article, we introduce nine neighborhood based operators and we study the partial order relations between twenty-two different neighborhood operators obtained from one covering.
Lynn D'eer, Chris Cornelis
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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 +3 more
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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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Covering Fuzzy Rough Sets via Variable Precision
Journal of Mathematics, 2021 Lately, covering fuzzy rough sets via variable precision according to a fuzzy γ-neighborhood were established by Zhan et al. model. Also, Ma et al. gave the definition of complementary fuzzy γ-neighborhood with reflexivity.
Mohammed Atef, A. A. Azzam
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Port throughput influence factors based on neighborhood rough sets: An exploratory study
Journal of Industrial Engineering and Management, 2015 Purpose: The purpose of this paper is to devise a efficient method for the importance analysis on Port Throughput Influence Factors. Design/methodology/approach: Neighborhood rough sets is applied to solve the problem of selection factors.
Weiping Cui, Lei Huang, Ying Wang
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Entropy, 2021 Feature selection is one of the core contents of rough set theory and application. Since the reduction ability and classification performance of many feature selection algorithms based on rough set theory and its extensions are not ideal, this paper ...
Jiucheng Xu +3 more
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Topological Approaches for Rough Continuous Functions with Applications
Complexity, 2021 In this paper, we purposed further study on rough functions and introduced some concepts based on it. We introduced and investigated the concepts of topological lower and upper approximations of near-open sets and studied their basic properties.
A. S. Salama +3 more
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Two Different Views for Generalized Rough Sets with Applications
Mathematics, 2021 Rough set philosophy is a significant methodology in the knowledge discovery of databases. In the present paper, we suggest new sorts of rough set approximations using a multi-knowledge base; that is, a family of the finite number of general binary ...
Radwan Abu-Gdairi +3 more
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Neighborhood Rough Fuzzy Penetration Control Method with Variable Precision Based on GMAW
Applied Sciences, 2023 Considering the nonlinear, time-varying, and multivariate coupling nature of the welding process, achieving excellent control of the welding process can be challenging.
Xiaohong Xiang +7 more
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Covering rough sets based on neighborhoods: An approach without using neighborhoods
International Journal of Approximate Reasoning, 2011 Rough set theory, a mathematical tool to deal with inexact or uncertain knowledge in information systems, has originally described the indiscernibility of elements by equivalence relations. Covering rough sets are a natural extension of classical rough sets by relaxing the partitions arising from equivalence relations to coverings.
Ping Zhu, Zhu, Ping
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