Your search for: 'author:("Qin, Keyun")' has returned 13 results. (0.039s) Save search

Authors: Wang, Lu | Qin, Keyun

Article Type: Research Article

Abstract: The hybrid soft sets such as, fuzzy soft sets and soft fuzzy rough sets, have been regarded as mathematical tools for handling uncertainties. The aim of this paper is to develop a novel decision making approach for fuzzy soft sets. The modal-style operators of formal context are introduced to fuzzy soft sets and some basic properties of these operators are discussed in detail. A novel fuzzy soft set based decision making approach is presented by using modal-style operators. Further, some shortcomings of an existing decision making method have been highlighted and overcome by the proposed decision making approach. Some numerical …examples are employed to show the effectiveness of the approach presented in this study. Show more

Keywords: Soft fuzzy rough set, fuzzy soft set, modal-style operator, decision making

DOI: 10.3233/JIFS-182654

Citation: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 6, pp. 6381-6392, 2019

Authors: Yang, Han | Qin, Keyun

Article Type: Research Article

Abstract: The theory of three-way concept analysis has been developed into an effective tool for data analysis and knowledge discovery. In this paper, we propose neutrosophic three-way concept lattice by combining neutrosophic set with three-way concept analysis and present an approach for conflict analysis by using neutrosophic three-way concept lattice. Firstly, we propose the notion of neutrosophic formal context, in which the relationships between objects and attributes are expressed by neutrosophic numbers. Three pairs of concept derivation operators are proposed. The basic properties of object-induced and attribute-induced neutrosophic three-way concept lattices are examined. Secondly, we divide the neutrosophic formal context into …three classical formal contexts and propose the notions of the candidate neutrosophic three-way concepts and the redundant neutrosophic three-way concepts. Two approaches of constructing object-induced (attribute-induced) neutrosophic three-way concept lattices are presented by using candidate, redundant and original neutrosophic three-way concepts respectively. Finally, we apply the neutrosophic formal concept analysis to the conflict analysis and put forward the corresponding optimal strategy and the calculation method of the alliance. Show more

Keywords: Three-way concept analysis, neutrosophic set, neutrosophic three-way concept lattice, conflict analysis

DOI: 10.3233/JIFS-210481

Citation: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 2, pp. 3219-3236, 2021

Authors: Qin, Keyun | Luo, Junfang | Pei, Zheng

Article Type: Research Article

Abstract: Rough set approach for knowledge discovery in incomplete information systems has been extensively studied. This paper conduct a further study of valued tolerance relation based rough approximations. We make an analysis of the existing rough approximabilities and propose a new approach for lower (upper) approximability, which is a generalization of Pawlak approximation operators for complete information system. The approach has also been generalized to fuzzy cases. Some basic properties of the approximation operators are examined.

Keywords: Rough set, tolerance relation, valued tolerance relation, lower (upper) approximability

DOI: 10.3233/FI-2015-1290

Citation: Fundamenta Informaticae, vol. 142, no. 1-4, pp. 183-194, 2015

Authors: Qin, Keyun | Yang, Jilin | Liu, Zhicai

Article Type: Research Article

Abstract: Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool for dealing with uncertainties. This paper is devoted to the discussion of fuzzy soft set based approximate reasoning. First, based on fuzzy implication operators, the notion of fuzzy soft implication relation between fuzzy soft sets is introduced. The composition method of fuzzy soft implication relations is provided. Second, Triple I methods for fuzzy soft modus ponens (FSMP)and fuzzy soft modus tollens (FSMT) are investigated. Computational formulas for FSMP and FSMT with respect to left-continuous t-norms and its residual implication are presented. At last, the reversibility properties …of Triple I methods are analyzed. Show more

Keywords: Fuzzy set, soft set, fuzzy soft implication relation, triple I method, left-continuous t-norm

DOI: 10.3233/JIFS-16088

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 831-839, 2017

Authors: Qin, Keyun | Yang, Jilin | Liu, Zhicai

Article Type: Research Article

Abstract: As the theoretical foundation of fuzzy control, fuzzy reasoning has been extensively studied. This paper is devoted to the discussion of the similarity property of similarity-based fuzzy reasoning method, triple I fuzzy reasoning method and fuzzy similarity inference method. The similarity degrees between the inferred conclusions of these fuzzy reasoning methods and the consequent part of fuzzy inference rules are analyzed and evaluated. Based on these similarity degrees, the monotonicity, the reversibility and the approximation property of these fuzzy reasoning methods are examined.

Keywords: Fuzzy set, similarity measure, similarity-based fuzzy reasoning method, triple I method, left-continuous t-norm

DOI: 10.3233/JIFS-17333

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 4, pp. 2291-2303, 2017

Authors: He, Xingxing | Li, Yingfang | Qin, Keyun

Article Type: Research Article

Abstract: The connective fuzzy Xor has been studied by Bedregal et al. [B.C. Bedregal, R.H.S. Reiser and G.P. Dimuro, Xor-Implications and E-Implications: Classes of fuzzy implications based on fuzzy Xor, Electronic Notes in Theoretical Computer Science 247 (2009) 5–18] and two methods for constructing fuzzy Xor are given. As an important property of classical Xor connective, associativity is also defined in the definition of fuzzy Xor. However, we find that some of the fuzzy Xor connectives constructed with the given methods do not satisfy associative property. This paper studies the conditions under which the fuzzy Xor constructed with the methods given …in [1] satisfy associative property. Show more

Keywords: Fuzzy Xor connective, t-norm, t-conorm, fuzzy negation

DOI: 10.3233/IFS-2012-0608

Citation: Journal of Intelligent & Fuzzy Systems, vol. 25, no. 1, pp. 1-7, 2013

Authors: Li, Yingfang | Qin, Keyun | He, Xingxing | Meng, Dan

Article Type: Research Article

Abstract: Interval-valued fuzzy set (briefly, IVFS) is a generalization of fuzzy set that may better model imperfect information. Similarity measure is a useful tool for determining the similarity degree between two fuzzy concepts. In this paper, the definition of similarity measure of IVFSs is presented. Three approaches to constructing similarity measures of IVFSs are proposed. Based on the approaches, three computation formulae for calculating the similarity degree between IVFSs are obtained. The properties of similarity measures of IVFSs are examined as a whole.

Keywords: Interval-valued fuzzy set, fuzzy set, similarity measure, fuzzy equivalence

DOI: 10.3233/IFS-141492

Citation: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 5, pp. 2113-2125, 2015

Authors: He, Xingxing | Li, Yingfang | Qin, Keyun | Meng, Dan

Article Type: Research Article

Abstract: The fuzzy XNOR connective, as the dual construction of the fuzzy symmetric difference operator, has been defined and discussed by Li, Qin and He [18 ]. The aim of this paper is to give a systematic investigation of properties and structures of fuzzy XNOR connectives. The main results are: (1) It is proved that the biresiduation of a t-norm is indeed a fuzzy XNOR connective. (2) The structures and properties for biresiduations and two canonical constructions of fuzzy XNOR connectives given in [18 ] are examined. The associativity of fuzzy XNOR connectives is specially investigated. (3) Three additional ways of …constructing fuzzy XNOR connectives are proposed. Show more

Keywords: Symmetric difference operator, equivalence operator, fuzzy XNOR connective, t-Norm, t-Conorm, fuzzy negation

DOI: 10.3233/JIFS-16845

Citation: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2733-2745, 2017

Authors: Liu, Zhicai | Alcantud, José Carlos R. | Qin, Keyun | Pei, Zheng

Article Type: Research Article

Abstract:  This paper reviews and compares theories of fuzzy sets and soft sets from the perspective of transformation, and we prove that every fuzzy set on a universe U can be considered as a soft set, and show that any soft set can be regarded as even a fuzzy set. This paper presents two mapping methods to implement the transformation, namely, the methods of the binary-coded genetic algorithm (BCGA) and the ordered weighted averaging (OWA) operators. In practical applications, it can be used to establish the membership function of fuzzy sets, and it can also be applied to pattern recognition, decision-making, …etc. In general, it provides a new perspective to observe the relationship between soft sets and fuzzy sets, and it can be regarded as a general strategy to establish the membership function of fuzzy sets. Further, it reveals that the transformation method is similar to the process of building neurons, which opens a door to machine learning for soft set theory. Show more

Keywords: fuzzy sets, soft sets, binary-coded, IOWA operator, equivalent transformation

DOI: 10.3233/JIFS-18559

Citation: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 4, pp. 3751-3764, 2019

Authors: Wu, Zhengjiang | Li, Tianrui | Qin, Keyun | Ruan, Da

Article Type: Research Article

Abstract: Approximation operators play a vital role in rough set theory. Their three elements, namely, binary relation in the universe, basis algebra and properties, are fundamental in the study of approximation operators. In this paper, the interrelations among the three elements of approximation operators in L-fuzzy rough sets are discussed under the constructive approach, the axiomatic approach and the basis algebra choosing approach respectively. In the constructive approach, the properties of the approximation operators depend on the basis algebra and the binary relation. In the axiomatic approach, the induced binary relation is influenced by the axiom set and the basis algebra. …In the basis algebra choosing approach, the basis algebra is constructed by properties of approximation operators and specific binary relations. Show more

Keywords: L-fuzzy rough sets, approximation operators, basis algebra, binary relation, residuated lattice

DOI: 10.3233/FI-2011-553

Citation: Fundamenta Informaticae, vol. 111, no. 1, pp. 47-63, 2011

Authors: He, Xingxing | Li, Yingfang | Du, Limin | Qin, Keyun

Article Type: Research Article

Abstract:  The measure of the similarity between intuitionistic fuzzy sets (IFSs) is an important topic in IFSs theory. In this paper, we propose two computational formulae for similarity measures on IFSs based on a quaternary function called intuitionistic fuzzy equivalence. We first propose the concept of intuitionistic fuzzy equivalence. Then we give a computational formula for intuitionistic fuzzy equivalencies (i.e., Eq. (1)), which is obtained from combining dissimilarity functions and fuzzy equivalencies. Based on Eq. (1), we obtain two computational formulae for similarity measures on IFSs. The first one is obtained by aggregating Eq. (1). The second one is obtained by …respectively aggregating the numerator and the denominator of Eq. (1). We also examine some properties of the proposed similarity measures on IFSs. Finally, we make a comparison between the proposed similarity measures on IFSs and those existing ones in the literature through several counter-intuitive cases. Show more

Keywords: Intuitionistic fuzzy sets, Similarity measures, Dissimilarity functions, Fuzzy equivalencies, Intuitionistic fuzzy equivalencies

DOI: 10.3233/JIFS-181739

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 5, pp. 7073-7086, 2019

Authors: Fu, Chao | Qin, Keyun | Yang, Lei | Hu, Qian

Article Type: Research Article

Abstract: Covering rough sets have been successfully applied to decision analysis because of the strong representing capability for uncertain information. As a research hotspot in decision analysis, hesitant fuzzy multi-attribute decision-making (HFMADM) has received increasing attention. However, the existing covering rough sets cannot handle hesitant fuzzy information, which limits its application. To tackle this problem, we set forth hesitant fuzzy β-covering rough set models and discuss their application to HFMADM. Specifically, we first construct four types of hesitant fuzzy β-covering ( T , I ) rough set models via hesitant fuzzy logic operators and hesitant fuzzy β-neighborhoods, which can handle hesitant …fuzzy information without requiring any prior knowledge other than the data sets. Then, some intriguing properties of these models and their relationships are also discussed. In addition, we design a new method to deal with HFMADM problems by combining the merits of the proposed models and the TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) method. In this method, we not only consider the risk preferences of decision-makers, but also present a new hesitant fuzzy similarity measure expressed by hesitant fuzzy elements to measure the degree of closeness between two alternatives. Finally, an enterprise project investment problem is applied to illustrate the feasibility of our proposed method. Meanwhile, the stability and effectiveness of our proposed method are also verified by sensitivity and comparative analyses. Show more

Keywords: Hesitant fuzzy sets, covering rough sets, hesitant fuzzy logic operators, hesitant fuzzy β-covering, multi-attribute decision-making

DOI: 10.3233/JIFS-223842

Citation: Journal of Intelligent & Fuzzy Systems, vol. 44, no. 6, pp. 10005-10025, 2023

Authors: Xu, Siyu | Qin, Keyun | Pan, Xiaodong | Fu, Chao

Article Type: Research Article

Abstract:  Both fuzzy set and rough set are important mathematical tools to describe incomplete and uncertain information, and they are highly complementary to each other. What is more, most fuzzy rough sets are obtained by combining Zadeh fuzzy sets and Pawlak rough sets. There are few reports about the combination of axiomatic fuzzy sets and Pawlak rough sets. For this reason, we propose the axiomatic fuzzy rough sets (namely rough set model with respect to the axiomatic fuzzy set) establishing on fuzzy membership space. In this paper, we first present a similarity description method based on vague partitions. Then the concept …of similarity operator is proposed to describe uncertainty in the fuzzy approximation space. Finally, some characterizations concerning upper and lower approximation operators are shown, including basic properties. Furthermore, we give a algorithm to verify the effectiveness and efficiency of the model. Show more

Keywords: Rough sets, axiomatic fuzzy rough sets, residuated lattices, fuzzy relations, approximation operators

DOI: 10.3233/JIFS-223643

Citation: Journal of Intelligent & Fuzzy Systems, vol. 45, no. 1, pp. 1423-1436, 2023