Generalized fuzzy rough approximation operators determined by fuzzy implicators

WZ Wu, Y Leung, MW Shao - International Journal of Approximate …, 2013 - Elsevier
In this paper, a general framework for the study of dual fuzzy rough approximation operators
determined by a fuzzy implication operator I in infinite universes of discourse is investigated …

Axiomatic characterizations of (S, T)-fuzzy rough approximation operators

WZ Wu, YH Xu, MW Shao, G Wang - Information Sciences, 2016 - Elsevier
Axiomatic characterizations of approximation operators are of importance in the study of
rough set theory. In this paper axiomatic characterizations of relation-based (S, T)-fuzzy …

Using single axioms to characterize (ST)-intuitionistic fuzzy rough approximation operators

WZ Wu, MW Shao, X Wang - International Journal of Machine Learning …, 2019 - Springer
In this paper axiomatic characterizations of relation-based intuitionistic fuzzy rough
approximation operators determined by an intuitionistic fuzzy triangular norm T and its dual …

Using one axiom to characterize fuzzy rough approximation operators determined by a fuzzy implication operator

WZ Wu, TJ Li, SM Gu - Fundamenta Informaticae, 2015 - content.iospress.com
Axiomatic characterizations of approximation operators are important in the study of rough
set theory. In this paper, axiomatic characterizations of relation-based fuzzy rough …

The relationship among three types of rough approximation pairs

G Liu, K Zhu - Knowledge-Based Systems, 2014 - Elsevier
The aim of the paper is to clarify mathematical relationship among three types of rough
approximation pairs. We propose subsystem-based definition of generalized rough sets and …

[HTML][HTML] A categorical representation of algebraic domains based on variations of rough approximable concepts

L Guo, Q Li, M Huang - International journal of approximate reasoning, 2014 - Elsevier
In this paper, we propose two variations of rough approximable concepts and investigate the
order-theoretic properties of the associated concept hierarchies. We first show that every …

[HTML][HTML] Representing expansions of bounded distributive lattices with Galois connections in terms of rough sets

W Dzik, J Järvinen, M Kondo - International Journal of Approximate …, 2014 - Elsevier
This paper studies expansions of bounded distributive lattices equipped with a Galois
connection. We introduce GC-frames and canonical frames for these algebras. The complex …

[HTML][HTML] Near-Generalized Approximations in Groups Based on a Set-Valued Mapping

DW Setyawati, B Davvaz - International Journal of Fuzzy Logic and …, 2024 - ijfis.org
A normal subgroup of a group can partition a group into equivalence classes. Therefore,
approximations can be constructed within a group. The near approximations in a group are …

[PDF][PDF] TL-fuzzy set valued homomorphisms and generalized (I, T)-L-fuzzy rough sets on groups

C Ekiz, MI Ali, S Yamak - Filomat, 2017 - doiserbia.nb.rs
TL-Fuzzy Set Valued Homomorphisms and Generalized (I,T)-L-Fuzzy Rough Sets on Groups
Page 1 Filomat 31:13 (2017), 4153–4166 https://doi.org/10.2298/FIL1713153E Published by …

[PDF][PDF] Generalization of Pawlak's approximations in hypermodules by set-valued homomorphisms

S Mirvakili, SM Anvariyeh, B Davvaz - Foundations of computing and …, 2017 - sciendo.com
The initiation and majority on rough sets for algebraic hyperstructures such as
hypermodules over a hyperring have been concentrated on a congruence relation. The …