Search results for: Bao Qing Hu

Items from 1 to 20 out of 61 results

article

Three-way Decisions with Rough Membership Functions in Covering Approximation Space

Bin Yang, Bao Qing Hu, Junsheng Quiao

Fundamenta Informaticae > 2019 > Vol. 165, nr 2 > 157--191

Rough membership functions in covering approximation space not only give numerical characterizations of covering-based rough set approximations, but also establish the relationship between covering-based rough sets and fuzzy covering-based rough sets. In this paper, we give a new method to discuss three-way decisions with rough membership functions in covering approximation space. Firstly, we introduce...

article

On multiplicative generators of overlap and grouping functions

Junsheng Qiao, Bao Qing Hu

Fuzzy Sets and Systems > 2018 > 332 > C > 1-24

Overlap and grouping functions have been proposed by Bustince et al.. In this paper, we continue investigating the two functions by their multiplicative generator pairs. At first, we introduce the concept of multiplicative generator pair for overlap functions. And then, we investigate the migrativity, homogeneity, idempotency, Archimedean and cancellation properties for the overlap functions obtained...

article

A fast heuristic attribute reduction approach to ordered decision systems

Wen Sheng Du, Bao Qing Hu

European Journal of Operational Research > 2018 > 264 > 2 > 440-452

Rough set theory has shown success in being a filter-based feature selection approach for analyzing information systems. One of its main aims is to search for a feature subset called a reduct, which preserves the classification ability of the original system. In this paper, we consider ordered decision systems, where the preference order, a fundamental concept in dominance-based rough set approach,...

article

Equivalent Structures of Interval Sets and Fuzzy Interval Sets

Bao Qing Hu, Heung Wong, Ka‐fai Cedric Yiu

International Journal of Intelligent Systems > 33 > 1 > 68 - 92

Ideas of interval sets come from the lower and upper approximations of rough sets to study a unified structure of rough sets and their generalizations. Starting from the interval sets and their operations, this paper summarizes and analyzes other sets that have similarities with the interval sets or fuzzy interval sets. Our conclusions are that interval sets are mathematically equivalent to shadowed...

article

On interval additive generators of interval overlap functions and interval grouping functions

Junsheng Qiao, Bao Qing Hu

Fuzzy Sets and Systems > 2017 > 323 > C > 19-55

Overlap and grouping functions have been proposed by Bustince et al. for applications in image processing, classification problems and decision making based on fuzzy preference relations. In this paper, firstly, we generalize the concepts of overlap and grouping functions to the notions of interval overlap functions and interval grouping functions and investigate some vital related properties. In...

article

A novel Z-soft rough fuzzy $$\textit{BCI}$$ BCI -algebras (ideals) of $$\textit{BCI}$$ BCI -algebras

Kuan Yun Zhu, Bao Qing Hu

Soft Computing > 2018 > 22 > 11 > 3649-3662

In this paper, the notion of Z-soft rough fuzzy BCI-algebras (ideals) is introduced, which is an extended notion of soft rough BCI-algebras (ideals) and rough fuzzy BCI-algebras (ideals). In this paper, we first apply Z-soft rough fuzzy sets to BCI-algebras. Moreover, we study roughness in BCI-algebras with respects to a Z-soft approximation space. Some new Z-soft rough fuzzy operations over BCI-algebras...

article

Dominance-based rough fuzzy set approach and its application to rule induction

Wen Sheng Du, Bao Qing Hu

European Journal of Operational Research > 2017 > 261 > 2 > 690-703

Theories of fuzzy sets and rough sets are related and complementary methodologies to handle uncertainty of vagueness and coarseness, respectively. Marrying both leads to the hybrid notion of rough fuzzy sets in order to get a more accurate account of imperfect information. In this paper, our attention is paid to ordered fuzzy decision systems, where condition criteria are preference-ordered and decision...

article

Stepwise optimal scale selection for multi-scale decision tables via attribute significance

Feng Li, Bao Qing Hu, Jun Wang

Knowledge-Based Systems > 2017 > 129 > Complete > 4-16

Hierarchically structured data are very common or even unavoidable for data mining and knowledge discovering from the perspective of granular computing in real-life world. Based on this circumstance, multi-scale information system is introduced by Wu and Leung and extends the theory and application of information system. In such table, objects may take different values under the same attribute measured...

article

On some types of fuzzy covering-based rough sets

Bin Yang, Bao Qing Hu

Fuzzy Sets and Systems > 2017 > 312 > C > 36-65

Fuzzy coverings are a natural extension of the coverings by replacing crisp sets with fuzzy sets. Recently, an excellent introduction to the definition of a fuzzy β-covering is due to Ma and two fuzzy covering-based rough set models are presented. In this paper, by introducing some new definitions of fuzzy β-covering approximation spaces, the properties of fuzzy β-covering approximation spaces and...

article

A short note on L-fuzzy approximation spaces and L-fuzzy pretopological spaces

Junsheng Qiao, Bao Qing Hu

Fuzzy Sets and Systems > 2017 > 312 > C > 126-134

In this note, we investigate the relationship between L-fuzzy pretopological spaces and L-fuzzy approximation spaces based on the reflexive L-fuzzy relations from a categorical viewpoint.

article

A new approach of optimal scale selection to multi-scale decision tables

Feng Li, Bao Qing Hu

Information Sciences > 2017 > 381 > C > 193-208

As a special case of information table, multi-scale decision table can usually be observed in real-life world. In such table, objects may take different values under the same attribute measured at different scales. Based on inclusion relation of subsets of attributes and coarse relation of scales of attributes, multi-layered granulations and stratified rough set approximations in multi-scale decision...

article

On two novel types of three-way decisions in three-way decision spaces

Bao Qing Hu, Heung Wong, Ka-fai Cedric Yiu

International Journal of Approximate Reasoning > 2017 > 82 > C > 285-306

In order to explore a unified theory of three-way decisions proposed by Yao, Hu introduced three-way decision spaces through an axiomatic method, established the corresponding three-way decisions, and proposed two open problems on the changes of decision parameters in definition of three-way decisions. For answering these two questions, this paper firstly discusses the parameter changes in the assumptions...

article

Three-way decisions based on semi-three-way decision spaces

Bao Qing Hu

Information Sciences > 2017 > 382-383 > C > 415-440

Decision evaluation functions in three-way decision spaces must meet three axioms, the minimum element axiom, the monotonicity axiom and the complement axiom. Maintaining the complement axiom of decision evaluation functions is crucial to three-way decisions to simplify the decision rules based only on the conditional probability and the loss functions. However, some handy functions do not satisfy...

article

Note on “A rough set approach to the characterization of transversal matroids” [Int. J. Approx. Reason. 70 (2016) 1–12]

Bin Yang, Bao Qing Hu

International Journal of Approximate Reasoning > 2017 > 80 > C > 214-216

This note points some mistakes of definition, propositions and proofs of the literature “A rough set approach to the characterization of transversal matroid” [Int. J. Approx. Reason. 70 (2016) 1–12] and gives corrections of these mistakes.

article

A fuzzy covering-based rough set model and its generalization over fuzzy lattice

Bin Yang, Bao Qing Hu

Information Sciences > 2016 > 367-368 > C > 463-486

In this paper, we study a new type of fuzzy covering-based rough set model by introducing the notion of fuzzy β-minimal description. We mainly address the following issues in this paper. First, we present the definition of fuzzy β-minimal description and study its properties. Then, we define a novel type of fuzzy covering-based rough set model and investigate the properties of this model. Furthermore,...

chapter

Fuzzy Integral on Credibility Measure

Bao Qing Hu, Wai Cheung Ip, Heung Wong

Advances in Intelligent and Soft Computing > Fuzzy Information and Engineering Volume 2 > Fuzzy Information > 253-261

Fuzzy measure and credibility measure are two dissimilar concepts. Fuzzy integral on fuzzy measure has been researched. So far fuzzy integral on credibility measure has been not studied yet. This paper introduces fuzzy integral on credibility measure and discusses its properties.

article

Attribute reduction in ordered decision tables via evidence theory

Wen Sheng Du, Bao Qing Hu

Information Sciences > 2016 > 364-365 > C > 91-110

Rough set theory and Dempster–Shafer theory of evidence are two distinct but closely related approaches to modeling and manipulating uncertain information. It is quite natural to set up a hybrid model based on these two theories. In this paper, we investigate the problem of attribute reduction for ordered decision tables based on evidence theory. Belief and plausibility functions, which are strongly...

article

Erratum to “Three-way decisions space and three-way decisions” [Information Sciences 281 (2014) 21–52]

Bao Qing Hu, Xue Rong Zhao

Information Sciences > 2016 > 357 > C > 218-220

The function defined in Section 4.7.3 of literature [1] is not a decision evaluation function, that is to say it cannot induce a three-way decision space. In what follows a correct decision evaluation function is given together with its proof.

article

Probabilistic graded rough set and double relative quantitative decision-theoretic rough set

Bo Wen Fang, Bao Qing Hu

International Journal of Approximate Reasoning > 2016 > 74 > C > 1-12

The probabilistic rough set (PRS) model ignores absolute quantitative information i.e., overlap between equivalence class and basic set. And graded rough set (GRS) model cannot reflect the distinctive degrees of information. In order to overcome these defects, this paper proposes the probabilistic graded rough set (PGRS), which is an extension of Pawlak's rough set and GRS. What is more, we propose...

article

Axiomatic approaches to rough approximation operators on complete completely distributive lattices

Ning Lin Zhou, Bao Qing Hu

Information Sciences > 2016 > 348 > C > 227-242

We proposed a pair of rough approximation operators on a complete completely distributive lattice (CCD lattice for short) in 2015. In this paper, we further discuss its properties and study the axiomatic approaches to the rough approximation operators. Through these axioms, fuzzy rough approximation operators can be seen as special cases of rough approximation operators on a CCD lattice. We also discuss...

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INFONA - science communication portal

Search results for: Bao Qing Hu

Three-way Decisions with Rough Membership Functions in Covering Approximation Space

On multiplicative generators of overlap and grouping functions

A fast heuristic attribute reduction approach to ordered decision systems

Equivalent Structures of Interval Sets and Fuzzy Interval Sets

On interval additive generators of interval overlap functions and interval grouping functions

A novel Z-soft rough fuzzy $$\textit{BCI}$$ BCI -algebras (ideals) of $$\textit{BCI}$$ BCI -algebras

Dominance-based rough fuzzy set approach and its application to rule induction

Stepwise optimal scale selection for multi-scale decision tables via attribute significance

On some types of fuzzy covering-based rough sets

A short note on L-fuzzy approximation spaces and L-fuzzy pretopological spaces

A new approach of optimal scale selection to multi-scale decision tables

On two novel types of three-way decisions in three-way decision spaces

Three-way decisions based on semi-three-way decision spaces

Note on “A rough set approach to the characterization of transversal matroids” [Int. J. Approx. Reason. 70 (2016) 1–12]

A fuzzy covering-based rough set model and its generalization over fuzzy lattice

Fuzzy Integral on Credibility Measure

Attribute reduction in ordered decision tables via evidence theory

Erratum to “Three-way decisions space and three-way decisions” [Information Sciences 281 (2014) 21–52]

Probabilistic graded rough set and double relative quantitative decision-theoretic rough set

Axiomatic approaches to rough approximation operators on complete completely distributive lattices

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