Results 11 to 20 of about 185,811 (251)

Topology in the Alternative Set Theory and Rough Sets via Fuzzy Type Theory

open access: yesMathematics, 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
doaj   +2 more sources

Granular Space Reduction to a β Multigranulation Fuzzy Rough Set [PDF]

open access: yesAbstract and Applied Analysis, 2014
Multigranulation rough set is an extension of classical rough set, and optimistic multigranulation and pessimistic multigranulation are two special cases of it. β multigranulation rough set is a more generalized multigranulation rough set. In this paper,
Junyi Zhou, Shaohui Ma, Jianzhen Li
doaj   +2 more sources

Three-Way Decisions Making Using Covering Based Fractional Orthotriple Fuzzy Rough Set Model

open access: yesMathematics, 2020
On the basis of decision-theoretical rough sets (DTRSs), the three-way decisions give new model of decision approach for deal with the problem of decision. This proposed model of decision method is based on the loss function of DTRSs.
S. Abosuliman   +2 more
semanticscholar   +2 more sources

Fuzzy Rough Sets versus Rough Fuzzy Sets [PDF]

open access: yes, 1998
Reihe Computational Intelligence ...
Thiele, Helmut
openaire   +3 more sources

A Novel Framework of Pythagorean Fuzzy Dominance-Based Rough Sets and Analysis of Knowledge Reductions

open access: yesIEEE Access, 2023
The dominance-based rough set approach is crucial to the advancement of rough set theory. It gives a more thorough and adaptable framework for knowledge acquisition, information analysis, and DM.
Iftikhar Ul Haq   +4 more
doaj   +1 more source

Fuzzy rough sets based on fuzzy quantification

open access: yesFuzzy Sets and Systems, 2023
One of the weaknesses of classical (fuzzy) rough sets is their sensitivity to noise, which is particularly undesirable for machine learning applications. One approach to solve this issue is by making use of fuzzy quantifiers, as done by the vaguely quantified fuzzy rough set (VQFRS) model. While this idea is intuitive, the VQFRS model suffers from both
Adnan Theerens, Chris Cornelis
openaire   +3 more sources

A Novel Approach Toward Q-Rung Orthopair Fuzzy Rough Dombi Aggregation Operators and Their Application to Decision-Making Problems

open access: yesIEEE Access, 2023
Since three way decision making is a better tool in order to deal with uncertain decision making problem. Therefore, in this paper a three way decision making approach is presented under q-rung orthopair fuzzy rough set environment.
Saifullah Khan   +4 more
doaj   +1 more source

Pythagorean fuzzy soft rough sets and their applications in decision-making

open access: yesJournal of Taibah University for Science, 2020
This paper aims to originate two new notions that are soft rough Pythagorean fuzzy set and Pythagorean fuzzy soft rough set, and investigate some important properties of soft rough Pythagorean fuzzy set and Pythagorean fuzzy soft rough set in detail ...
Azmat Hussain   +2 more
doaj   +1 more source

Fundamental properties of fuzzy rough sets based on triangular norms and fuzzy implications: the properties characterized by fuzzy neighborhood and fuzzy topology

open access: yesComplex & Intelligent Systems, 2023
Fuzzy rough set models are useful tools for dealing with fuzzy and real-valued data. They have been used in many real-world applications. In this paper, we investigate the fuzzy rough set model based on triangular norms and fuzzy implications.
Zhaohao Wang
doaj   +1 more source

Attribute Reduction Methods Based on Pythagorean Fuzzy Covering Information Systems

open access: yesIEEE Access, 2020
By introducing covering rough sets to Pythagorean fuzzy environment, we construct a new rough set model called the Pythagorean fuzzy λ-covering rough set.
Chen Yan, Haidong Zhang
doaj   +1 more source

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