Author and reference Application field Type of study Study category Study contribution Fan et al. [68 ] Approximate reasoning Proposed Fuzzy-rough sets Proposed a new dominance-based fuzzy-rough set model for decision analysis Cheng [69 ] Approximations Proposed Fuzzy-rough sets Suggested two incremental approaches for fast computing of the rough fuzzy approximation including cut sets of fuzzy sets and boundary sets Yang et al. [70 ] Approximate reasoning Proposed Fuzzy probabilistic rough sets Suggested a new fuzzy probabilistic rough set approach Wu et al. [71 ] Approximate reasoning Proposed Fuzzy-rough approximation Examined the problem related to construct rough approximations of a vague set in fuzzy approximation space Fan et al. [72 ] Approximation reasoning Proposed Fuzzy-rough set and decision-theoretic rough sets Proposed the quantitative decision-theoretic rough fuzzy set approaches based on logical disjunction and logical conjunction Sun et al. [73 ] Approximate reasoning Developed Rough set and fuzzy-rough sets Proposed the upper and lower approximations of fuzzy sets based on a hybrid indiscernibility relation Estaji et al. [74 ] Approximate reasoning Proposed Fuzzy-rough sets Introduced the notion of a -lower and -upper approximations of a fuzzy subset of Li and Yin [75 ] Approximate reasoning Proposed Fuzzy-rough sets Introduced a novel fuzzy algebraic structure which was a named TL -fuzzy-rough semigroup based on a -upper fuzzy-rough approximation and -lower and operators Zhang et al. [76 ] Approximation operators Developed Fuzzy-rough sets Discussed an approximation set of a vague set in Pawlak’s approximation space Li and Cui [77 ] Approximation operators Proposed Fuzzy-rough sets Introduced and investigated fuzzy topologies induced by fuzzy-rough approximation operators and the concept of similarity of fuzzy relations Wu et al. [78 ] Approximation operators Developed Fuzzy-rough sets Investigated the axiomatic characterizations of relation-based -fuzzy-rough approximation operators Hao and Li [79 ] L -fuzzy-rough approximation spaceDeveloped Fuzzy-rough sets Discussed the relationship between -topologies and -fuzzy-rough sets in an arbitrary universe Cheng [80 ] Approximation Proposed Fuzzy-rough sets Proposed two algorithms based on forward and backward approximations which were called mine rules based on the backward approximation and mine rules based on the forward approximation Feng et al. [81 ] Fuzzy approximation operators Developed Fuzzy-rough sets Proposed the approximation of a soft set based on a Pawlak approximation space Sun et al. [82 ] Probabilistic rough fuzzy set Proposed Fuzzy-rough sets Introduced a probabilistic rough fuzzy set using the conditional probability of a fuzzy event