A Novel Method of the Generalized Interval-Valued Fuzzy Rough Approximation Operators by Tianyu Xue, Zhan’ao Xue, Huiru Cheng, Jie Liu, Tailong Zhu

“…Rough set theory is a suitable tool for dealing with the imprecision, uncertainty, incompleteness, and vagueness of knowledge. …”
Get full text

A study on neutrosophic soft set and neutrosophic hypersoft set by Hema Rengaswamy, Rajeshwari Subramani, Florentin Smarandache

“…This paper mainly intends to verify whether the basic laws of set theory apply in the Neutrosophic Soft Set (NSS). …”
Get full text

Hamming Distance Method with Subjective and Objective Weights for Personnel Selection by R. Md Saad, M. Z. Ahmad, M. S. Abu, M. S. Jusoh

“…In case of vagueness situation, fuzzy set theory is then incorporated onto the HDMSOW’s. To determine the objective weight for each attribute, the fuzzy Shannon’s entropy is considered. …”
Get full text

Some New Covering-Based Multigranulation Fuzzy Rough Sets and Corresponding Application in Multicriteria Decision Making by Zaibin Chang, Lingling Mao

“…Multigranulation rough set theory is an important tool to deal with the problem of multicriteria information system. …”
Get full text

Fuzzy Set-Valued Information Systems and the Algorithm of Filling Missing Values for Incomplete Information Systems by Zhaohao Wang, Xiaoping Zhang

“…Finally, we discuss the importance of these algorithms for investigating IISs from the viewpoint of rough set theory.…”
Get full text

Automatic incident detection in smart city using multiple traffic flow parameters via V2X communication by Zafar Iqbal, Majid Iqbal Khan

“…The complete algorithm is mathematically described using the notions of set theory and then formal analysis assures that the algorithm would be less susceptible to runtime and logical errors during simulations.…”
Get full text

Topologies Generated by Two Ideals and the Corresponding j-Approximations Spaces with Applications by Mona Hosny

“…Topology is a rich source for constructs that is helpful to enrich the original model of approximations spaces. Rough set theory has inbuilt topological concepts. Hence, the main purpose of this paper is to point out that the concept of rough sets has a purely topological aspects nature. …”
Get full text

A Systematic Overview of Fuzzy-Random Option Pricing in Discrete Time and Fuzzy-Random Binomial Extension Sensitive Interest Rate Pricing by Jorge de Andrés-Sánchez

“…First, it conducts a bibliographical analysis of contributions from fuzzy set theory to option pricing, focusing on fuzzy-random option pricing (FROP) and its applications in binomial and trinomial lattice approaches. …”
Get full text

A new product for soft sets with its decision-making: Soft star-product by Aslıhan Sezgin, Eylül Şenyiğit

“…Soft set operations are core concepts within soft set theory. In this paper, we introduce a novel soft product for soft sets, termed the soft star-product, along with its complete algebraic properties concerning various types of soft equalities and subsets. …”
Get full text

Uncertainty Measurement and Attribute Reduction Algorithm Based on Kernel Similarity Rough Set Model by Baoguo Chen, Lei Chen, Ming Deng

“…Attribute reduction is the core research content in rough set theory. At present, the attribute reduction of numerical information system mostly adopts the neighborhood rough set method. …”
Get full text

Rough Approximation Spaces via Maximal Union Neighborhoods and Ideals with a Medical Application by Mona Hosny, Tareq M. Al-shami, Abdelwaheb Mhemdi

“…One of the most popular and important tools to deal with imperfect knowledge is the rough set theory. It starts from dividing the universe to obtain blocks utilizing an equivalence relation. …”
Get full text

A Rough Penalty Genetic Algorithm for Multicast Routing in Mobile Ad Hoc Networks by Chih-Hao Lin, Chia-Chun Chuang

“…In this paper, a novel penalty adjustment method based on the rough set theory is proposed to deal with path-delay constraints for multicast routing problems in MANETs. …”
Get full text

One of the approaches to the organization of the modern educational process by A. G. Savenko, Yu. A. Skudnyakov

“…The mathematical basis of the rotational-hybrid model is set theory using graph models, which compare favorably with other mathematical apparatus in visibility and a matrix form of representation that can be easily processed on a computer. …”
Get full text

Complex Atanassov's Intuitionistic Fuzzy Relation by Abd Ulazeez M. Alkouri, Abdul Razak Salleh

“…This distance measure is used to illustrate an application of CAIFSs in solving one of the most core application areas of fuzzy set theory, which is multiattributes decision-making (MADM) problems, in complex Atanassov's intuitionistic fuzzy realm. …”
Get full text

Improving Predictions of Multiple Binary Models in ILP by Tarek Abudawood

“…Our methods allow learning of a simple, consistent, and reliable multiclass theory by combining the rules of the multiple one-versus-rest theories into one rule list or rule set theory. Empirical evaluation over a number of data sets shows that our proposed methods produce coherent and accurate rule models from the rules learned by the ILP system of Aleph.…”
Get full text

Rough Set Construction and Entropy Weight Evaluation of Urban Higher Education Resource Carrying Capacity Based on Big Data by Lulu Wang, Chao Liu, Muhammad Talha

“…Based on the rough set theory, this paper constructs a rough set of big data of urban higher education resource carrying capacity from the three levels of higher education core resources, urban economic resources and urban basic resources, and evaluates the entropy weight of the city where the university is located. …”
Get full text

Theories of truth and theories of meaning: a discussion of semantic skepticism and its possible solutions based on Quine, Davidson, and Dummett's work by Lucas Vollet

“…Quine highlights the weakness of a truth theory grounded in set theory and observation for generating stable theories of meaning. …”
Get full text

Operational Risk Assessment of Distribution Network Equipment Based on Rough Set and D-S Evidence Theory by Cunbin Li, Gefu Qing, Peng Li, Tingting Yin

“…In this model, the rough set theory was used to simplify and optimize the operation risk assessment indexes of distribution network equipment and the evidence D-S theory was adopted to combine the optimal indexes. …”
Get full text

Rough Sets Data Analysis in Knowledge Discovery: A Case of Kuwaiti Diabetic Children Patients by Aboul ella Hassanien, Mohamed E. Abdelhafez, Hala S. Own

“…The main goal of this study is to investigate the relationship between psychosocial variables and diabetic children patients and to obtain a classifier function with which it was possible to classify the patients on the basis of assessed adherence level. The rough set theory is used to identify the most important attributes and to induce decision rules from 302 samples of Kuwaiti diabetic children patients aged 7–13 years old. …”
Get full text

Geometric Lattice Structure of Covering-Based Rough Sets through Matroids by Aiping Huang, William Zhu

“…Covering-based rough set theory is a useful tool to deal with inexact, uncertain, or vague knowledge in information systems. …”
Get full text