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1

Singh, Prem Kumar. "Three-way fuzzy concept lattice representation using neutrosophic set." International Journal of Machine Learning and Cybernetics 8, no. 1 (2016): 69–79. http://dx.doi.org/10.1007/s13042-016-0585-0.

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2

Xin, Xian-Wei, Ji-Hua Song, Zhan-Ao Xue, and Wei-Ming Peng. "Intuitionistic fuzzy three-way formal concept analysis based attribute correlation degree." Journal of Intelligent & Fuzzy Systems 40, no. 1 (2021): 1567–83. http://dx.doi.org/10.3233/jifs-200002.

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As an important expanded of the classical formal concept, the three-way formal concept analysis integrates more information with the three-way decision theory. However, to the best of our knowledge, few scholars have studied the intuitionistic fuzzy three-way formal concept analysis. This paper proposes an intuitionistic fuzzy three-way formal concept analysis model based on the attribute correlation degree. To achieve this, we comprehensively analyze the composition of attribute correlation degree in the intuitionistic fuzzy environment, and introduce the corresponding calculation methods for
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3

Hu, Junhua, Dan Chen, and Pei Liang. "A Novel Interval Three-Way Concept Lattice Model with Its Application in Medical Diagnosis." Mathematics 7, no. 1 (2019): 103. http://dx.doi.org/10.3390/math7010103.

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Medical diagnosis has been recognized as one of the key processes in clinical medicine, which determines diseases from some given symptoms. Nonetheless, previous works about medical diagnosis have some drawbacks because medical data are usually fuzzy, uncertain, incomplete and imprecise. To achieve the optimal medical diagnosis decision by reducing cost and enhancing accuracy, this paper develops a new method named interval three-way concept lattice model. Firstly, we redefine the decision rules and metric function of three-way decision based on interval concept lattice. Secondly, we build a v
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4

Cui, Hui, Ansheng Deng, Guanli Yue, Li Zou, and Luis Martinez. "The Linguistic Concept’s Reduction Methods under Symmetric Linguistic-Evaluation Information." Symmetry 15, no. 4 (2023): 813. http://dx.doi.org/10.3390/sym15040813.

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Knowledge reduction is a crucial topic in formal concept analysis. There always exists uncertain, symmetric linguistic-evaluation information in social life, which leads to high complexity in the process of knowledge representation. In order to overcome this problem, we are focused on studying the linguistic-concept-reduction methods in an uncertain environment with fuzzy linguistic information. Based on three-way decisions and an attribute-oriented concept lattice, we construct a fuzzy-object-induced three-way attribute-oriented linguistic (FOEAL) concept lattice, which provides complementary
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5

Singh, Prem Kumar. "Medical diagnoses using three-way fuzzy concept lattice and their Euclidean distance." Computational and Applied Mathematics 37, no. 3 (2017): 3283–306. http://dx.doi.org/10.1007/s40314-017-0513-2.

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6

Kai, Wang. "Dynamic Interest Portrait of Community Users based on Three-way Fuzzy Concept Lattices." Foundations of Computing and Decision Sciences 49, no. 4 (2024): 385–408. https://doi.org/10.2478/fcds-2024-0019.

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Abstract Aiming at the multi-granularity knowledge discovery of users in online community, a method of dynamic user interest portrait based on Three-way Fuzzy Concept Lattice (3WFCL) is proposed to reveal the relationship between long-term and short-term interest drift, which improves the accuracy of the user portrait from a fuzzy perspective. Firstly, the label topic matrix of community users is constructed based on the topic analysis and the dynamic interest modelling is realized. Secondly, the environment migration index is calculated by extracting the topic and sentiment characteristics of
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7

Zhang, Chengling, Jinjin Li, and Yidong Lin. "Matrix-based reduction approach for one-sided fuzzy three-way concept lattices." Journal of Intelligent & Fuzzy Systems 40, no. 6 (2021): 11393–410. http://dx.doi.org/10.3233/jifs-202573.

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Three-way concept analysis is a mathematical model of the combination of formal concept analysis and three-way decision, and knowledge discovery plays a significant impact on formal fuzzy contexts since such datasets are frequently encountered in real life. In this paper, a novel type of one-sided fuzzy three-way concept lattices is presented in a given formal fuzzy context with its complement, in which a ternary classification is available. In such case, we comprehensively explore the connections between the proposed models and classical fuzzy concept lattices among elements, sets, and orders
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8

Long, Binghan, Weihua Xu, and Xiaoyan Zhang. "Double threshold construction method for attribute-induced three-way concept lattice in incomplete fuzzy formal context." Journal of Engineering 2020, no. 13 (2020): 549–54. http://dx.doi.org/10.1049/joe.2019.1168.

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9

Zhai, Yanhui, Zihan Jia, and Deyu Li. "Resolving Agent Conflicts Using Enhanced Uncertainty Modeling Tools for Intelligent Decision Making." Electronics 12, no. 21 (2023): 4547. http://dx.doi.org/10.3390/electronics12214547.

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Conflict analysis in intelligent decision making has received increasing attention in recent years. However, few researchers have analyzed conflicts by considering trustworthiness from the perspective of common agreement and common opposition. Since L-fuzzy three-way concept lattice is able to describe both the attributes that objects commonly possess and the attributes that objects commonly do not possess, this paper introduces an L-fuzzy three-way concept lattice to capture the issues on which agents commonly agree and the issues which they commonly oppose, and proposes a hybrid conflict ana
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10

Bělohlávek, Radim. "Reduction and a Simple Proof of Characterization of Fuzzy Concept Lattices." Fundamenta Informaticae 46, no. 4 (2001): 277–85. https://doi.org/10.3233/fun-2001-46401.

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Presented is a reduction of fuzzy Galois connections and fuzzy concept lattices to (crisp) Galois connections and concept lattices: each fuzzy concept lattice can be viewed as a concept lattice (in a natural way). As a result, a simple proof of the characterization theorem for fuzzy concept lattices is obtained. The reduction enables us to apply the results worked out for concept lattices to fuzzy concept lattices.
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11

BĚLOHLÁVEK, RADIM, JAN OUTRATA, and VILEM VYCHODIL. "FAST FACTORIZATION BY SIMILARITY OF FUZZY CONCEPT LATTICES WITH HEDGES." International Journal of Foundations of Computer Science 19, no. 02 (2008): 255–69. http://dx.doi.org/10.1142/s012905410800567x.

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The paper presents results on factorization by similarity of fuzzy concept lattices with hedges. A fuzzy concept lattice is a hierarchically ordered collection of clusters extracted from tabular data. The basic idea of factorization by similarity is to have, instead of a possibly large original fuzzy concept lattice, its factor lattice. The factor lattice contains less clusters than the original concept lattice but, at the same time, represents a reasonable approximation of the original concept lattice and provides us with a granular view on the original concept lattice. The factor lattice res
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12

Belohlavek, Radim, and Vilem Vychodil. "Fuzzy Concept Lattices Constrained by Hedges." Journal of Advanced Computational Intelligence and Intelligent Informatics 11, no. 6 (2007): 536–45. http://dx.doi.org/10.20965/jaciii.2007.p0536.

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We study concept lattices constrained by hedges. The principal aim is to control, in a parameterical way, the size of concept lattices, i.e. the number of conceptual clusters extracted from data. The paper presents theoretical insight, comments, and examples. We introduce new, parameterized, concept-forming operators and study their properties. We obtain an axiomatic characterization of the concept-forming operators. Then, we show that a concept lattice with hedges is indeed a complete lattice which is isomorphic to an ordinary concept lattice. We describe the isomorphism and its inverse. Thes
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13

Paul, Ursala, and Paul Isaac. "Fuzzy Lattice Ordered G-modules." International Journal of Fuzzy System Applications 8, no. 3 (2019): 94–107. http://dx.doi.org/10.4018/ijfsa.2019070104.

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The study of mathematics emphasizes precision, accuracy, and perfection, but in many of the real-life situations, people face ambiguity, vagueness, imprecision, etc. Fuzzy set theory and rough set theory are two innovative tools in mathematics which are used for decision-making in vague and uncertain information systems. Fuzzy algebra has a significant role in the current era of mathematical research and it deals with the algebraic concepts and models of fuzzy sets. The study of various ordered algebraic structures like lattice ordered groups, Riesz spaces, etc., are of great importance in alg
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14

Li, Mingxia, Kebing Chen, Caiyun Liu, and Baoxiang Liu. "The Interval Parameter Optimization Model Based on Three-Way Decision Space and Its Application on “Green Products Recommendation”." Discrete Dynamics in Nature and Society 2020 (December 1, 2020): 1–12. http://dx.doi.org/10.1155/2020/9587353.

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The interval concept lattice theory, a new method of mining objects based on interval parameters, can more accurately deal with uncertain information than the classical concept lattice theory. The optimization of interval parameters has been a problem that is not well solved. From the perspective of three-way decision space, we first combine the theories of interval concept lattice and three-way decision and then put forward interval three-way decision space theory; second, in the interval three-way decision space, the positive region, negative region, and boundary region are divided by extens
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15

Wang, Jingqian, Xiaohong Zhang, and Qingqing Hu. "Three-Way Fuzzy Sets and Their Applications (II)." Axioms 11, no. 10 (2022): 532. http://dx.doi.org/10.3390/axioms11100532.

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Recently, the notion of a three-way fuzzy set is presented, inspired by the basic ideas of three-way decision and various generalized fuzzy sets, including lattice-valued fuzzy sets, partial fuzzy sets, intuitionistic fuzzy sets, etc. As the new theory of uncertainty, it has been used in attribute reduction and as a new control method for the water level. However, as an extension of a three-way decision, this new theory has not been used in multi-criteria decision making (MCDM for short). Based on the previous work, in this paper, we present rough set models based on three-way fuzzy sets, whic
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16

Xie, Junping, Jing Yang, Jinhai Li, Mingwei He, and Huaxiang Song. "Three-way concept lattice construction and association rule acquisition." Information Sciences 701 (May 2025): 121867. https://doi.org/10.1016/j.ins.2024.121867.

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17

Niu, Dong-Yun, and Ju-Sheng Mi. "Three-way concept lattice based on Boolean formal context." International Journal of Approximate Reasoning 175 (December 2024): 109286. http://dx.doi.org/10.1016/j.ijar.2024.109286.

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18

Wang, Xizhao, and Jinhai Li. "Three-way decisions, concept lattice and granular computing: Editorial." International Journal of Machine Learning and Cybernetics 9, no. 11 (2018): 1765–66. http://dx.doi.org/10.1007/s13042-018-0876-8.

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19

Qian, Ting, Yongwei Yang, and Xiaoli He. "The Feature Description of Formal Context Based on the Relationships among Concept Lattices." Entropy 23, no. 11 (2021): 1397. http://dx.doi.org/10.3390/e23111397.

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Three-way concept analysis (3WCA) is extended research of formal concept analysis (FCA) by combining three-way decision. The three-way object oriented concept lattice (OEOL) is one of the important data structures which integrates rough set, concept lattice and three-way decision in 3WCA. In the paper, we investigate the characteristics of formal context based on the isomorphic relationship among the kinds of concept lattices with OEOL. Firstly, II-dual intersectable attributes and II-dual intersectable context are proposed and the relationship between the type I-dual intersectable context(dua
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20

Zhi, Huilai, and Shulin Hu. "Influences of Three-Way Concept Lattice Caused by Variations of Attribute Values." Scientific Programming 2019 (September 30, 2019): 1–11. http://dx.doi.org/10.1155/2019/7865197.

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Three-way concept lattices have been widely used in various types of applications. As the construction of three-way concept lattices is rather time consuming, especially for large formal contexts, it is not applicable to construct the lattices from the beginning when changes are made to the contexts. Motivated by this problem, the influences of three-way concept lattices caused by variations of attribute values are explored in this study. Specifically, we discuss two types of changes. One is changing the value of a specific incidence relation from 0 to 1, and the other is from 1 to 0. Furtherm
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21

Zhi, Huilai, and Hao Chao. "Three-Way Concept Analysis for Incomplete Formal Contexts." Mathematical Problems in Engineering 2018 (September 12, 2018): 1–11. http://dx.doi.org/10.1155/2018/9546846.

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Recently, incomplete formal contexts have received more and more attention from the communities of formal concept analysis. Different from a complete context where the binary relations between all the objects and attribute are known, an incomplete formal context has at least a pair of object and attribute with a completely unknown binary relation. Partially known formal concepts use interval sets to indicate the incompleteness. Three-way formal concept analysis is capable of characterizing a target set by combining positive and negative attributes. However, how to describe target set, by point
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22

Rácz, Gábor, Attila Sali, and Klaus-Dieter Schewe. "Refined Fuzzy Profile Matching." Acta Cybernetica 26, no. 2 (2023): 243–66. http://dx.doi.org/10.14232/actacyb.277380.

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A profile describes a set of properties, e.g. a set of skills a person may have or a set of skills required for a particular job. Profile matching aims to determine how well a given profile fits to a requested profile and vice versa. Fuzzyness is naturally attached to this problem. The filter-based matching theory uses filters in lattices to represent profiles, and matching values in the interval [0,1], so the lattice order refers to subsumption between the concepts in a profile. In this article the lattice is extended by additional information in form of weighted extra edges that represent pa
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23

Singh, Prem Kumar. "Three-way n-valued neutrosophic concept lattice at different granulation." International Journal of Machine Learning and Cybernetics 9, no. 11 (2018): 1839–55. http://dx.doi.org/10.1007/s13042-018-0860-3.

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24

WEINBERGER, ARTHUR. "REDUCING FUZZY ALGEBRA TO CLASSICAL ALGEBRA." New Mathematics and Natural Computation 01, no. 01 (2005): 27–64. http://dx.doi.org/10.1142/s1793005705000020.

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This paper presents three main ideas. They are the Metatheorem, the lattice embedding for sets, and the lattice embedding for algebras. The Metatheorem allows you to convert existing theorems about classical subsets into corresponding theorem about fuzzy subsets. The concept of a fuzzyfiable operation on a powerset is defined. The main result states that any implication or identity which can be stated using fuzzyfiable operations is true about fuzzy subsets if and only if it is true about classical subsets. The lattice embedding theorem for sets shows that for any set X, there is a set Y such
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25

Liu, Xiangbin, Wang Mao, Jianhua Dai, and Kai Zhang. "Comprehensive fuzzy concept-oriented three-way decision and its application." Information Sciences 593 (May 2022): 233–70. http://dx.doi.org/10.1016/j.ins.2022.02.001.

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26

Tang, Jian, and Kai Zhang. "Three-way decision for three-stage ranking pattern with criterion fuzzy concept." Information Sciences 645 (October 2023): 119339. http://dx.doi.org/10.1016/j.ins.2023.119339.

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27

Jose, Merin, and Sunil C. Mathew. "ON L-FUZZY TOPOLOGIES INDUCED BY L-G-FILTERS." South East Asian J. of Mathematics and Mathematical Sciences 20, no. 01 (2024): 211–22. http://dx.doi.org/10.56827/seajmms.2024.2001.16.

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This paper addresses L-fuzzy topologies induced by L-G-filters and studies the categorical relations between L-G-filter spaces and L-fuzzy topological spaces. Three functors from the category of L-G-filter spaces to the category of Lfuzzy topological spaces are obtained. Having introduced the concept of monotone L-fuzzy topologies, the study inquires into the sum, subspace, product, quotient and the lattice structure of such topologies.
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28

Wang, Hongwei, Huilai Zhi, and Yinan Li. "Approximate Description of Indefinable Granules Based on Classical and Three-Way Concept Lattices." Mathematics 13, no. 4 (2025): 672. https://doi.org/10.3390/math13040672.

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Granule description is a fundamental problem in granular computing. However, how to describe indefinable granules is still an open, interesting, and important problem. The main objective of this paper is to give a preliminary solution to this problem. Before proceeding, the framework of approximate description is introduced. That is, any indefinable granule is characterized by an ordered pair of formulas, which form an interval set, where the first formula is the β-prior approximate optimal description and the second formula is the α-prior approximate optimal description. More concretely, give
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29

Wang, Xizhao, and Jinhai Li. "New advances in three-way decision, granular computing and concept lattice." International Journal of Machine Learning and Cybernetics 11, no. 5 (2020): 945–46. http://dx.doi.org/10.1007/s13042-020-01117-3.

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30

He, Xiaoli, Ling Wei, and Yanhong She. "L-fuzzy concept analysis for three-way decisions: basic definitions and fuzzy inference mechanisms." International Journal of Machine Learning and Cybernetics 9, no. 11 (2018): 1857–67. http://dx.doi.org/10.1007/s13042-018-0857-y.

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31

Xu, Hong Sheng, and Lan Wang. "Using Fuzzy Rough Concept Lattices Merging and Presenting Domain Ontology." Advanced Materials Research 301-303 (July 2011): 384–87. http://dx.doi.org/10.4028/www.scientific.net/amr.301-303.384.

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As the foundation of the semantic web, ontology is a formal, explicit specification of a shared conceptual model. It becomes an important problem on ontology application to merg and present ontology. However, there are some defects between several kinds of existing ontology application methods in many aspects. The paper offers a methodology of ontology merging for knowledge sharing and reusing based on fuzzy concept concept lattice union in order to makes up these defects.This paper proposes the means of ontology presenting based on the form of concept lattices visualizing in three-dimensional
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32

Yang, Sichun, Yunan Lu, Xiuyi Jia, and Weiwei Li. "Constructing three-way concept lattice based on the composite of classical lattices." International Journal of Approximate Reasoning 121 (June 2020): 174–86. http://dx.doi.org/10.1016/j.ijar.2020.03.007.

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33

Aldana, Milagrosa, and María Antonia Lledó. "The Fuzzy Bit." Symmetry 15, no. 12 (2023): 2103. http://dx.doi.org/10.3390/sym15122103.

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In this paper, the formulation of Quantum Mechanics in terms of fuzzy logic and fuzzy sets is explored. A result by Pykacz, which establishes a correspondence between (quantum) logics (lattices with certain properties) and certain families of fuzzy sets, is applied to the Birkhoff–von Neumann logic, the lattice of projectors of a Hilbert space. Three cases are considered: the qubit, two qubits entangled, and a qutrit ‘nested’ inside the two entangled qubits. The membership functions of the fuzzy sets are explicitly computed and all the connectives of the fuzzy sets are interpreted as operation
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34

Zhang, Kai, and Jianhua Dai. "Three-phase multi-criteria ranking considering three-way decision framework and criterion fuzzy concept." International Journal of Approximate Reasoning 168 (May 2024): 109147. http://dx.doi.org/10.1016/j.ijar.2024.109147.

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35

Paoli, Francesco, Antonio Ledda, Tomasz Kowalski, and Matthew Spinks. "Quasi-discriminator varieties." International Journal of Algebra and Computation 24, no. 03 (2014): 375–411. http://dx.doi.org/10.1142/s0218196714500179.

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We generalize the notion of discriminator variety in such a way as to capture several varieties of algebras arising mainly from fuzzy logic. After investigating the extent to which this more general concept retains the basic properties of discriminator varieties, we give both an equational and a purely algebraic characterization of quasi-discriminator varieties. Finally, we completely describe the lattice of subvarieties of the pure pointed quasi-discriminator variety, providing an explicit equational base for each of its members.
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36

Hao, Fei, Yixuan Yang, Geyong Min, and Vincenzo Loia. "Incremental construction of three-way concept lattice for knowledge discovery in social networks." Information Sciences 578 (November 2021): 257–80. http://dx.doi.org/10.1016/j.ins.2021.07.031.

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37

Zhi, Huilai, Jianjun Qi, Ting Qian, and Ruisi Ren. "Conflict analysis under one-vote veto based on approximate three-way concept lattice." Information Sciences 516 (April 2020): 316–30. http://dx.doi.org/10.1016/j.ins.2019.12.065.

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38

Mao, Hua, Xiaoqing Liu, and Gang Wang. "Two forms of three-way semiconcepts." Journal of Intelligent & Fuzzy Systems 40, no. 6 (2021): 10853–64. http://dx.doi.org/10.3233/jifs-201862.

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Semiconcept, a new data processing model, enriches the development of formal concept analysis. However, the classical semiconcept is supported by two-way decisions. In the study of classical semiconcept theory, how to express the information of jointly not possessed is also essential in making decisions. Therefore, this paper tries to combine the classical semiconcept theory with three-way decisions to present three-way semiconcepts, and carry on the further study. Firstly, we define new operators and give some properties of them. Two kinds of three-way semiconcepts —OE-semiconcept and AE-semi
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39

Abosuliman, Shougi S., Saleem Abdullah, and Muhammad Qiyas. "Three-Way Decisions Making Using Covering Based Fractional Orthotriple Fuzzy Rough Set Model." Mathematics 8, no. 7 (2020): 1121. http://dx.doi.org/10.3390/math8071121.

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On the basis of decision-theoretical rough sets (DTRSs), the three-way decisions give new model of decision approach for deal with the problem of decision. This proposed model of decision method is based on the loss function of DTRSs. First, the concept of fractional orthotriple fuzzy β -covering (FOF β -covering) and fractional orthotriple fuzzy β -neighborhood (FOF β -neighborhood) was introduced. We combined loss feature of DTRSs with covering-based fractional orthotriple fuzzy rough sets (CFOFSs) under the fractional orthotriple fuzzy condition. Secondly, we proposed a new FOF-covering dec
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40

Zhang, Bingjie, and Yiming Liu. "Identification of Fuzzy Information in English Interpretation Based on the Digital Elevation Model." Advances in Mathematical Physics 2021 (October 26, 2021): 1–12. http://dx.doi.org/10.1155/2021/8520633.

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With the rapid development of information society, a large amount of vague or uncertain English interpretation information appears in daily life. Uncertain information processing is an important research content in the field of artificial intelligence. In this paper, we combine the three-branch concept lattice and linguistic values with the digital elevation model and propose the three-branch fuzzy linguistic concept lattice as well as the attribute approximation method. In this paper, an improved serial algorithm for sink accumulation is proposed. The improved algorithm changes the order of c
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41

Yuan, Kehua, Weihua Xu, Wentao Li, and Weiping Ding. "An incremental learning mechanism for object classification based on progressive fuzzy three-way concept." Information Sciences 584 (January 2022): 127–47. http://dx.doi.org/10.1016/j.ins.2021.10.058.

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42

Zhao, Tianna, Yuanjian Zhang, and Duoqian Miao. "Intuitionistic Fuzzy-Based Three-Way Label Enhancement for Multi-Label Classification." Mathematics 10, no. 11 (2022): 1847. http://dx.doi.org/10.3390/math10111847.

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Multi-label classification deals with the determination of instance-label associations for unseen instances. Although many margin-based approaches are delicately developed, the uncertainty classifications for those with smaller separation margins remain unsolved. The intuitionistic fuzzy set is an effective tool to characterize the concept of uncertainty, yet it has not been examined for multi-label cases. This paper proposed a novel model called intuitionistic fuzzy three-way label enhancement (IFTWLE) for multi-label classification. The IFTWLE combines label enhancement with an intuitionisti
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43

Mao, Wang, Kai Zhang, Xiangbin Liu, and Jian Tang. "An optimization-based three-way decision for multi-criteria ranking strategy considering intuitionistic fuzzy concept." Information Sciences 654 (January 2024): 119850. http://dx.doi.org/10.1016/j.ins.2023.119850.

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44

Mao, Yi, Yaning Xu, and Yuezhong Fan. "A sequential three-way decision model based on linguistic Z-numbers." PLOS One 20, no. 5 (2025): e0320350. https://doi.org/10.1371/journal.pone.0320350.

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Linguistic Z-numbers (LZs), which uses both fuzzy constraint and reliability measure to describe information and has been widely used in various industries. However, as the amount of information needed to process increases, the relevant sorting methods are inefficient. Three-way decision model with decision-theoretical rough sets divides objects into three disjoint regions, namely acceptance,deferment, and rejection. In the subsequent process, only the objects that need delayed judgment are subdivided, which greatly reduces the amount of computation. Therefore, in order to improve the efficien
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45

Dehghan, O. R. "Quotient bipolar fuzzy soft sets of hypervector spaces and bipolar fuzzy soft sets of quotient hypervector spaces." Journal of Algebraic Hyperstructures and Logical Algebras 4, no. 2 (2023): 67–90. http://dx.doi.org/10.61838/kman.jahla.4.2.5.

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In this paper, two related quotient structures are investigated utilizing the concept of coset. At first, a new hypervector space F/V = (F/V,\circ,\circledcirc,K) is created, which is composed of all cosets of a bipolar fuzzy soft set (F;A) over a hypervector space V . Then it will be shown that dim F/V = dim V/W, where the quotient hypervector space V/W includes all cosets of an especial subhyperspace W of V. Also, three bipolar fuzzy soft sets over the quotient hypervector space V/W are presented and in this way some new bipolar fuzzy soft hypervector spaces are defined.
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46

Nenzhelele, Tshifhiwa, John Alfred Trimble, Jan Andriaan Swanepoel, and Mukondeleli Grace Kanakana-Katumba. "MCDM Model for Evaluating and Selecting the Optimal Facility Layout Design: A Case Study on Railcar Manufacturing." Processes 11, no. 3 (2023): 869. http://dx.doi.org/10.3390/pr11030869.

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Facility layout in a manufacturing system is a complex production activity because decisions on layout design are influenced by numerous, ambiguous, and competing factors. This study proposes a method for determining and choosing an ideal layout using a hybridized Fuzzy Analytic Hierarchy Process (F-AHP) with the Fuzzy Technique for Order of Preference by Similarity to the Ideal Solution (F-TOPSIS). The F-AHP is used, in this case, because of its ability to generate design criteria weight. The railcar industrial case study results indicate that the developed model can effectively lead to selec
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47

Makhortov, S. D. "On the Solvability and Number of Solutions of Production-Logical Equations in a Fuzzy LP-Structure." Programmnaya Ingeneria 12, no. 1 (2021): 40–47. http://dx.doi.org/10.17587/prin.12.40-47.

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For the construction and study of formal models of intelligent information systems, algebraic methods are useful. One of the topical directions here is the production-type logical systems, which are widespread in computer science. In recent years, the author and his followers have been developing the algebraic theory of LP-structures (lattice production structures). It is designed to formalize and solve a number of knowledge management problems in production systems. The method of relevant backward inference (LP-inference) was also introduced and investigated, which significantly reduces the n
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48

Dr. R. Balasubrimanian, V. Belmer Gladson,. "A Novel Fuzzy Inference System Based Robust Reversible Watermarking Technique provided with Six Layer Security." INFORMATION TECHNOLOGY IN INDUSTRY 9, no. 2 (2021): 661–78. http://dx.doi.org/10.17762/itii.v9i2.398.

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Digital Watermarking has evolved as one of the latest technologies for digital media copyright protection. Watermarking of images can be done in many ways and one of the proposed algorithms for image watermarking is by utilizing Fuzzy Logic. It is similar to the concept of a Fuzzy set, each element can be defined by an ordered pair, in which one is the value and other is the membership function value. Fuzzy logic systems can explain inaccurate information and explain their decisions. Fuzzy inference system is the simplest way of performing Fuzzy Logic. In the proposed method, three Fuzzy infer
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Das, Sankar, Ganesh Ghorai, and Qin Xin. "Picture Fuzzy Threshold Graphs with Application in Medicine Replenishment." Entropy 24, no. 5 (2022): 658. http://dx.doi.org/10.3390/e24050658.

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In this study, a novel concept of picture fuzzy threshold graph (PFTG) is introduced. It has been shown that PFTGs are free from alternating 4-cycle and it can be constructed by repeatedly adding a dominating or an isolated node. Several properties about PFTGs are discussed and obtained the results that every picture fuzzy graph (PFG) is equivalent to a PFTG under certain conditions. Also, the underlying crisp graph (UCG) of PFTG is a split graph (SG), and conversely, a given SG can be applied to constitute a PFTG. A PFTG can be decomposed in a unique way and it generates three distinct fuzzy
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Srirekha, B., Shakeela Sathish, R. Narmada Devi, Miroslav Mahdal, Robert Cep, and K. Elavarasan. "Attributes Reduction on SE-ISI Concept Lattice for an Incomplete Context Using Object Ranking." Mathematics 11, no. 7 (2023): 1585. http://dx.doi.org/10.3390/math11071585.

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The formal concept of lattice plays a vital role in knowledge discovery. Reduction of the attribute has many applications in machine learning technology and data mining fields. In this paper, we introduce an object ranking concept to define a consistency set and the reduction of the attributes by structural features. An incomplete information system works on the three-way concepts using the SE-ISI Context. The granular was emphasized with join (meet) irreducible sets using the object ranking concepts. A dual operator is defined based on the object ranking concepts and its properties and condit
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