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Rough Neutrosophic Sets [PDF]

open access: yesNeutrosophic 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
doaj  

Multi-fuzzy Rough Sets based on Implicators and Continuous t-norms

open access: yesFuzzy 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
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

Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making

open access: yesAbstract 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
doaj   +1 more source

Roughness of fuzzy soft sets and related results [PDF]

open access: yesInternational 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
doaj   +1 more source

Empirical analysis of rough set categorical clustering techniques based on rough purity and value set [PDF]

open access: yes, 2017
Clustering a set of objects into homogeneous groups is a fundamental operation in data mining. Recently, attention has been put on categorical data clustering, where data objects are made up of non-numerical attributes.
Abdulhasan, Raed abdulkareem   +5 more
core   +1 more source

Neutrosophic Soft Rough Graphs with Application

open access: yesAxioms, 2018
Neutrosophic sets (NSs) handle uncertain information while fuzzy sets (FSs) and intuitionistic fuzzy sets (IFs) fail to handle indeterminate information. Soft set theory, neutrosophic set theory, and rough set theory are different mathematical models for
Muhammad Akram   +3 more
doaj   +1 more source

Soft Interval-Valued Neutrosophic Rough Sets [PDF]

open access: yesNeutrosophic Sets and Systems, 2015
In this paper, we first defined soft interval-valued neutrosophic rough sets(SIVN- rough sets for short) which combines interval valued neutrosophic soft set and rough sets and studied some of its basic properties.
Said Broumi, Florentin Smarandache
doaj  

A Study of Roughness in Modules of Fractions

open access: yesIEEE 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
doaj   +1 more source

Matroidal structure of generalized rough sets based on symmetric and transitive relations [PDF]

open access: yes, 2012
Rough sets are efficient for data pre-process in data mining. Lower and upper approximations are two core concepts of rough sets. This paper studies generalized rough sets based on symmetric and transitive relations from the operator-oriented view by ...
Yang, Bin, Zhu, William
core  

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