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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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The Structure of Multigranular Rough Sets [PDF]
Fundamenta Informaticae, 2020 We study multigranulation spaces of two equivalences. The lattice-theoretical properties of so-called “optimistic” and “pessimistic” multigranular approximation systems are given. We also consider the ordered sets of rough sets determined by these approximation pairs.
Jouni Järvinen, Sándor Radeleczki
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Autonomous clustering using rough set theory [PDF]
, 2008 This paper proposes a clustering technique that minimises the need for subjective human intervention and is based on elements of rough set theory. The proposed algorithm is unified in its approach to clustering and makes use of both local and global ...
Chandra Kambhampati +3 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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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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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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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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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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A Study of Roughness in Modules of Fractions
IEEE Access, 2019 The theory of rough sets is successfully applied in various algebraic systems (e.g. groups, rings, and modules). In this paper, the concept of roughness is introduced in modules of fractions with respect to its submodules.
Zhihua Chen +4 more
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The Lattice of Rough Subsets of a Rough Set. The Category of Rough Sets
Demonstratio Mathematica, 1997 The paper deals with algebraic structures related to rough sets, introduced by Pawlak in 1982. It is proved that the lattice of all rough subsets of a given rough set is a complete Heyting algebra. Necessary and sufficient conditions for the above lattice to be a Boolean algebra are presented.
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