Review Article

Recent Fuzzy Generalisations of Rough Sets Theory: A Systematic Review and Methodological Critique of the Literature

Table 2

Distribution papers based on the information systems area.

Author and referenceApplication fieldType of studyStudy categoryStudy contribution

 Liu and Sai [48]Information systemsDevelopedFuzzy and rough setsDiscussed invertible upper and lower approximation and provided the sufficient and necessary condition for lower and upper approximation fuzzy-rough and rough sets
 Zhang [49]Information systemsProposedFuzzy-rough setsProposed a new dominance intuitionistic fuzzy-rough set for using auditing risk judgment in information system security
 Ouyang et al. [50]Information systemsDevelopedFuzzy-rough setsGeneralised the Radzikowska and Kerre approach based on fuzzy-rough sets which were called the -fuzzy-rough set
 Dai and Tian [51]Information systemsProposedFuzzy-rough setsDeveloped the fuzzy construct and relation of the fuzzy-rough approach for set-valued information systems
 Zeng et al. [52]Information systemsDevelopedFuzzy-rough setsDeveloped a new Hybrid Distance (HD) in Hybrid Information Systems (HIS) based on the value difference metric, and a new fuzzy-rough approach was designed by integrating the Gaussian kernel and HD distance
 Shabir and Shaheen [53]Information systemProposedFuzzy-rough setsSuggested a novel framework for fuzzification of rough sets when the objects are α-indiscernible, that is, indiscernible up to a certain degree
 Feng and Mi [39]Information systemsDevelopedFuzzy-rough setsInvestigated the variable precision multigranulation fuzzy decision-theoretic rough sets in an information system
 Wu and Zhang [54]Random fuzzy information systemsProposedFuzzy-rough setsIntroduced new random fuzzy-rough set approaches based on fuzzy logic operators and random fuzzy sets
 Chen et al. [55]Fuzzy rule-based systemsProposedFuzzy-rough setsIntroduced a new approach to build a polygonal rough-fuzzy set and present a novel fuzzy interpolative reasoning approach for sparse fuzzy rule-based systems based on the ratio of fuzziness of the constructed polygonal rough-fuzzy sets
 Tsang et al. [56]Information systemsDevelopedFuzzy-rough setsExamined some properties of communication between information systems based on fuzzy-rough set models
 Han et al. [57]Decision information systemProposedFuzzy-rough setsIntroduced the new order relation about bipolar-valued fuzzy sets
 Aggarwal [58]Fuzzy probabilistic information systemDevelopedFuzzy-rough setsDeveloped probabilistic variable precision fuzzy-rough sets (P-VP-FRS)