Results 11 to 20 of about 50,721 (156)
Rough quotient in topological rough sets
Open Mathematics, 2019 In this paper, we introduce a rough quotient. Also, we present conditions ensuring that G/H are partitions of G. The rough projection map is also presented. We discuss first, second and third rough isomorphism theorems and other related results.
Alharbi Nof +3 more
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Fuzzy-rough set models and fuzzy-rough data reduction
Croatian Operational Research Review, 2020 Rough set theory is a powerful tool to analysis the information systems. Fuzzy rough set is introduced as a fuzzy generalization of rough sets. This paper reviewed the most important contributions to the rough set theory, fuzzy rough set theory and their
Hassan Mishmast Nehi +1 more
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Incremental Updating Algorithm for Approximation Sets on Semi-Monolayer Cover Rough Sets [PDF]
Jisuanji gongcheng, 2022 A one-to-one mapping relationship exists between the semi-monolayer cover rough sets and the set-valued information system.When an object set in a set-valued information system is dynamically added or removed, the information unit that corresponds to the
WU Zhengjiang, ZHANG Yaning, ZHANG Zhen, MEI Qiuyu, YANG Tian
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(𝓘, 𝓣) −Standard neutrosophic rough set and its topologies properties [PDF]
Neutrosophic Sets and Systems, 2016 In this paper, we defined (𝓘, 𝓣) − standard neutrosophic rough sets based on an implicator 𝓘 and a tnorm 𝓣 on 𝑫∗ ; lower and upper approximations of standard neutrosophic sets in a standard neutrosophic approximation are defined.
Nguyen Xuan Thao, Florentin Smarandache
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Soft Rough Approximation Operators and Related Results
Journal of Applied Mathematics, 2013 Soft set theory is a newly emerging tool to deal with uncertain problems. Based on soft sets, soft rough approximation operators are introduced, and soft rough sets are defined by using soft rough approximation operators.
Zhaowen Li, Bin Qin, Zhangyong Cai
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Neutrosophic Sets and Systems, 2014 Both neutrosophic sets theory and rough sets theory are emerging as powerful tool for managing uncertainty, indeterminate, incomplete and imprecise information.
Said Broumi +2 more
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Multi-fuzzy Rough Sets based on Implicators and Continuous t-norms
Fuzzy Information and Engineering, 2017 This paper extends the study of multi-fuzzy rough sets using an implicator and a continuous t-norm and thus introduces multi-fuzzy rough sets based on fuzzy logical connectives.
Gayathri Varma, Sunil Jacob John
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Rough Neutrosophic Multisets [PDF]
Neutrosophic Sets and Systems, 2017 Many past studies largely described the concept of neutrosophic sets, neutrosophic multisets, rough sets, and rough neutrosophic sets in many areas. However, no paper has discussed about rough neutrosophic multisets.
Suriana Alias +2 more
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Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making
Abstract and Applied Analysis, 2014 The soft set theory, originally proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. In this paper, we present concepts of soft rough intuitionistic fuzzy sets and intuitionistic fuzzy soft rough sets, and ...
Haidong Zhang, Lan Shu, Shilong Liao
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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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