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Fuzzy-rough set models and fuzzy-rough data reduction [PDF]

open access: yesCroatian 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
doaj   +2 more sources

New Rough Set Approximation Spaces [PDF]

open access: yesAbstract 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
doaj   +2 more sources

Hepatitis B Disease Diagnosis Using Rough Set

open access: yesCommunications, 2013
This paper describes processing of the medical data by means of the prediction system based on Rough Set Theory (RST). The Rough Sets proved to be very useful for the analysis of the decision problems concerning objects described in a data table by a set
Tomasz Kanik
doaj   +2 more sources

Rough Neutrosophic Ideals in a Ring [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
Aim of this paper is to introduce the notion of rough neutrosophic sets in rings also we discuss the sum and product of rough neutrosophic ideal in a ring.
V.S. Subha   +2 more
doaj   +1 more source

Serial relation and textural rough set [PDF]

open access: yesMathematica Moravica, 2021
The generalized rough set theory is based on the lower and upper approximation operators defined on the binary relation. The rough sets obtained from serial relations take an important place in topological applications.
Dost Şenol
doaj   +1 more source

Rough Neutrosophic Multisets [PDF]

open access: yesNeutrosophic 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
doaj   +1 more source

Three-Way Fuzzy Sets and Their Applications (II)

open access: yesAxioms, 2022
Recently, the notion of a three-way fuzzy set is presented, inspired by the basic ideas of three-way decision and various generalized fuzzy sets, including lattice-valued fuzzy sets, partial fuzzy sets, intuitionistic fuzzy sets, etc.
Jingqian Wang   +2 more
doaj   +1 more source

Rough representations of rough topological groups

open access: yesApplied General Topology, 2023
In this paper, the concept of rough representation of a rough topological group on a Banach space is explored. Mainly, the continuity and the irreducibility of rough representations are studied.
Essoyomewè Kieou   +2 more
doaj   +1 more source

Rough soft sets and rough soft groups [PDF]

open access: yesJournal of Hyperstructures, 2013
In this paper we discuss some basic properties of rough soft sets and hence we introduce the notion of rough soft group. Basic properties of rough soft group are presented and supported by some illustrative examples.
Jayanta Ghosh, T. K. Samanta
doaj   +1 more source

A Novel Approach Toward Roughness of Bipolar Soft Sets and Their Applications in MCGDM

open access: yesIEEE Access, 2021
The uncertainty in the data is an obstacle in decision-making (DM) problems. In order to solve problems with a variety of uncertainties a number of useful mathematical approaches together with fuzzy sets, rough sets, soft sets, bipolar soft sets have ...
Rizwan Gul   +3 more
doaj   +1 more source

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