Results 31 to 40 of about 1,508,110 (292)

(𝓘, 𝓣) −Standard neutrosophic rough set and its topologies properties [PDF]

open access: yesNeutrosophic 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
doaj   +1 more source

Fuzzy-rough set models and fuzzy-rough data reduction

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   +1 more source

Soft Rough Approximation Operators and Related Results

open access: yesJournal 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
doaj   +1 more source

The Structure of Multigranular Rough Sets [PDF]

open access: yesFundamenta 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
openaire   +4 more sources

Rough analysis in lattices [PDF]

open access: yes, 1991
An outline of an algebraie generalization of the rough set theory is presented in the paper. It is shown that the majority of the basic concepts of this theory has an immediate algebraic generalization, and that some rough set facts are true in general ...
Iwinski, Tadeusz B.
core   +1 more source

Incremental Updating Algorithm for Approximation Sets on Semi-Monolayer Cover Rough Sets [PDF]

open access: yesJisuanji 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
doaj   +1 more source

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

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

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

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

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