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Oppositions in Rough Set Theory [PDF]
, 2012 The role of opposition in rough set theory is laid bare. There are two sources which generate oppositions in rough sets: approximations and relations. In the former case, we outline a hexagon and a cube of oppositions. In the second case, we define a classical square of oppositions and also a tetrahedron when considering the standpoint of two agents.
CIUCCI, DAVIDE ELIO +2 more
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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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Rough set theory and its applications
Journal of Telecommunications and Information Technology, 2002 In this paper rudiments of the theory will be outlined, and basic concepts of the theory will be illustrated by a simple tutorial example, concerning churn modeling in telecommunications.
Zdzisław Pawlak
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Information, 2019 Relative reduction of multiple neighborhood-covering with multigranulation rough set has been one of the hot research topics in knowledge reduction theory.
Xiaoying You, Jinjin Li, Hongkun Wang
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New Rough Set Approximation Spaces [PDF]
Abstract and Applied Analysis, 2013 Rough set theory was introduced by Pawlak in 1982 to handle imprecision, vagueness, and uncertainty in data analysis. Our aim is to generalize rough set theory by introducing concepts of -lower and -upper approximations which depends on the concept of ...
H. M. Abu-Donia
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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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Application of multi-valued rough neutrosophic set and matrix in multi-criteria decision-making
Mathematics in Applied Sciences and Engineering, 2023 Rough set concept is a methodology of information processing for relational databases. It is a unique uncertainty mathematics topic closely connected to fuzzy set theory.
Donbosco Jeni Seles Martina +1 more
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On Uncertainty Measure Issues in Rough Set Theory
IEEE Access, 2020 Rough set theory is a tool for dealing with uncertainty problems. How to measure the uncertainty of a knowledge is an important issue in the theory. However, the existing uncertainty measures may not accurately reflect the uncertainty degree.
Jianguo Tang +3 more
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Sub-exact sequence of rough groups
Al-Jabar, 2021 Rough Set Theory (RST) is an essential mathematical tool to deal with imprecise, inconsistent, incomplete information and knowledge Rough Some algebra structures, such as groups, rings, and modules, have been presented on rough set theory.
Nevi Setyaningsih +2 more
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SOME PROPERTIES OF INDUCED COVER FROM FAMILY OF COVERING ROUGH SETS
Tạp chí Khoa học Đại học Đà Lạt, 2017 Rough set theory is an efficient and essential tool for dealing with vagueness and granularity in information systems. Covering based rough set theory is proposed as a significant generalization of classical rough sets.
Nguyễn Đức Thuần
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