Results 11 to 20 of about 3,651 (294)
Choquet-based fuzzy rough sets [PDF]
International Journal of Approximate Reasoning, 2022 Fuzzy rough set theory can be used as a tool for dealing with inconsistent data when there is a gradual notion of indiscernibility between objects. It does this by providing lower and upper approximations of concepts. In classical fuzzy rough sets, the lower and upper approximations are determined using the minimum and maximum operators, respectively ...
Adnan Theerens +2 more
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Covering Fuzzy Rough Sets via Variable Precision [PDF]
Journal of Mathematics, 2021 Lately, covering fuzzy rough sets via variable precision according to a fuzzy γ-neighborhood were established by Zhan et al. model. Also, Ma et al. gave the definition of complementary fuzzy γ-neighborhood with reflexivity.
Mohammed Atef, A. A. Azzam
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Multi-fuzzy Rough Sets based on Implicators and Continuous t-norms [PDF]
Fuzzy 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
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Axiomatic systems for rough sets and fuzzy rough sets [PDF]
International Journal of Approximate Reasoning, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Guilong
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The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets [PDF]
Advances in Fuzzy Systems, 2013 Fuzzy set theory, rough set theory, and soft set theory are three effective mathematical tools for dealing with uncertainties and have many wide applications both in theory and practise. Meng et al.
Zhiming Zhang
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Fuzzy Closure Spaces vs. Fuzzy Rough Sets [PDF]
Fuzzy Information and Engineering, 2014 This paper investigates the relationship among fuzzy rough sets, fuzzy closure spaces and fuzzy topology. It is shown that there exists a bijective correspondence between the set of all fuzzy reflexive approximation spaces and the set of all quasi ...
S.P. Tiwari +2 more
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Structures of Opposition in Fuzzy Rough Sets [PDF]
Fundamenta Informaticae, 2015 The square of opposition is as old as logic. There has been a recent renewal of interest on this topic, due to the emergence of new structures (hexagonal and cubic) extending the square. They apply to a large variety of representation frameworks, all based on the notions of sets and relations. After a reminder about the structures of opposition, and an
CIUCCI, DAVIDE ELIO +2 more
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Multi-Granulation Double Fuzzy Rough Sets [PDF]
, 2023 In this article, we introduce two new rough set models based on the concept of double fuzzy relations. These models are called optimistic and pessimistic multi-granulation double fuzzy rough sets.
Y. H. Ragheb Sayed +5 more
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Multi-Granulation Picture Hesitant Fuzzy Rough Sets [PDF]
, 2020 We lay the theoretical foundations of a novel model, termed picture hesitant fuzzy rough sets, based on picture hesitant fuzzy relations. We also combine this notion with the ideas of multi-granulation rough sets.
José Carlos R. Alcantud +2 more
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Fuzzy-rough set models and fuzzy-rough data reduction
Croatian 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
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