Top Research Papers on Fuzzy Set Theory
Dive into a curated list of top research papers on Fuzzy Set Theory. These papers offer critical insights and advancements in understanding this important mathematical concept. Whether you're a seasoned researcher or new to the topic, our selection will expand your knowledge and spark your curiosity.
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Career selection of students using hybridized distance measure based on picture fuzzy set and rough set theory
125 Citations 2021Rekha Sahu, Satya Ranjan Dash, Sujit Das
Decision Making Applications in Management and Engineering
The main purpose of the article is to analyse student's features in terms of career, memory, interest, knowledge, environment and attitude and then predict the appropriate stream for making the career comfortable so that the student can conveniently explore much in that area.
Attribute reduction methods in fuzzy rough set theory: An overview, comparative experiments, and new directions
119 Citations 2021Zhong Yuan, Hongmei Chen, Peng Xie + 3 more
Applied Soft Computing
In order to comprehensively investigate attribute reduction methods in fuzzy rough set theory, all methods are summarized through six different aspects including data sources, preprocessing methods, fuzzy similarity metrics, fuzzy operations, reduction rules, and evaluation methods.
Risk assessment and management of excavation system based on fuzzy set theory and machine learning methods
248 Citations 2020Song-Shun Lin, Shui‐Long Shen, Annan Zhou + 1 more
Automation in Construction
A brief review on major accidents and bibliometric analysis of risk assessment methods for excavation system in recent year is conducted and the processing and analysis of big data obtained from 3S techniques and sensors provide promising perspectives for establishing integrated technology system for excavation.
A novel fuzzy rough set model with fuzzy neighborhood operators
137 Citations 2020Jin Ye, Jianming Zhan, Weiping Ding + 1 more
Information Sciences
A new decision- making method is proposed to handle multi-criteria decision-making (MCDM) problems under uncertain and fuzzy environments, where the distance between two intuitionistic fuzzy sets (IFSs) is expressed by an intuitionistically fuzzy number (IFN).
Algorithms for solving the optimization problems using fuzzy and intuitionistic fuzzy set
110 Citations 2020P. Senthil Kumar
International Journal of Systems Assurance Engineering and Management
The proposed article provides seven fully worked examples with screenshots of output summaries from the software used in the computations for better understanding and some managerial applications and the advantages of the proposed approach are given.
Modern Trends in Fuzzy Graph Theory
100 Citations 2020Madhumangal Pal, Sovan Samanta, Ganesh Ghorai
journal unavailable
This book provides an extensive set of tools for applying fuzzy mathematics and graph theory to real-life problems. Balancing the basics and latest developments in fuzzy graph theory, this book starts with existing fundamental theories such as connectivity, isomorphism, products of fuzzy graphs, and different types of paths and arcs in fuzzy graphs to focus on advanced concepts such as planarity in fuzzy graphs, fuzzy competition graphs, fuzzy threshold graphs, fuzzy tolerance graphs, fuzzy trees, coloring in fuzzy graphs, bipolar fuzzy graphs, intuitionistic fuzzy graphs, m-polar fuzzy graphs...
Enhancing PROMETHEE method with intuitionistic fuzzy soft sets
138 Citations 2020Feng Feng, Zeshui Xu, Hamido Fujita + 1 more
International Journal of Intelligent Systems
This study presents a new algorithm for solving multiple attribute decision‐making problems with the extended PROMETHEE method based on IFSSs, and puts more emphasis on the construction of three distinct preference structures and related utility functions on the corresponding weakly ordered sets.
On Multicriteria Decision-Making Method Based on a Fuzzy Rough Set Model With Fuzzy $\alpha$-Neighborhoods
132 Citations 2020Kai Zhang, Jianming Zhan, Wei-Zhi Wu
IEEE Transactions on Fuzzy Systems
A novel fuzzy neighborhood operator with reflexivity is constructed and a new fuzzy rough set model based on the fuzzy $\alpha$ -neighborhood operator is proposed, aimed at decision-making in information systems with real-valued information systems (RVISs).
Some new correlation coefficients of picture fuzzy sets with applications
112 Citations 2020Abdul Haseeb Ganie, Surender Singh, Pradeep Kumar Bhatia
Neural Computing and Applications
Two correlation coefficients of PFSs are introduced along with some of their properties and are better than existing ones and effective in expressing the nature of correlation (positive or negative correlation).
A three-way decision based construction of shadowed sets from Atanassov intuitionistic fuzzy sets
103 Citations 2021Jilin Yang, Yiyu Yao
Information Sciences
To address a fundamental issue of the determination of a pair of thresholds on evaluations, a general optimization based formulation is presented and Chebyshev distance is used to calculate the required thresholds.
Ordering of interval-valued Fermatean fuzzy sets and its applications
151 Citations 2021S. Jeevaraj
Expert Systems with Applications
The concept of interval-valued Fermatean fuzzy sets is introduced and some Mathematical operations on the class of IVFFSs are established and the IVFFTOPSIS method for solving multi-criteria decision-making problems is established.
Indigenous Wholistic Theory: A Knowledge Set for Practice
171 Citations 2020Kathy Absolon
First Peoples Child & Family Review An Interdisciplinary Journal Honouring the Voices Perspectives and Knowledges of First Peoples
In this article, the author, establishes a knowledge set for Indigenous social work practice based on Indigenous wholistic theory. An overall framework using the circle is proposed and introduced followed by a more detailed and elaborated illustration using the four directions. The article identifies the need to articulate Indigenous wholistic theory and does so by employing a wholistic framework of the four directional circle. It then systematically moves around each direction, beginning in the east where a discussion of Spirit and Vision occurs. In the south a discussion of relationships, co...
Feature Selection Using Fuzzy Neighborhood Entropy-Based Uncertainty Measures for Fuzzy Neighborhood Multigranulation Rough Sets
243 Citations 2020Lin Sun, Lanying Wang, Weiping Ding + 2 more
IEEE Transactions on Fuzzy Systems
The presented model is effective for selecting important features with the higher stability of classification in neighborhood decision systems and the Fisher score model is utilized to delete irrelevant features to decrease the complexity of high-dimensional data sets.
Psychedelics, placebo effects, and set and setting: Insights from common factors theory of psychotherapy
135 Citations 2021Natalie Gukasyan, Sandeep M. Nayak
Transcultural Psychiatry
Four major contextual "common factors" shared by various healing traditions are examined: 1) the therapeutic relationship; 2) the healing setting; 3) the rationale, conceptual scheme, or myth; and 4) the ritual.
Novel distance measures for intuitionistic fuzzy sets based on various triangle centers of isosceles triangular fuzzy numbers and their applications
108 Citations 2021Harish Garg, Dimple Rani
Expert Systems with Applications
The paper aims at introducing novel distance measures for the intuitionistic fuzzy set (IFS) to discuss the decision-making problems. The current work exploits four different notions of centers, namely centroid, orthocenter, circumcenter and incenter of the triangle. First, we mold knowledge embedded in IFSs into isosceles TFN (triangular fuzzy number). Hence, based on these TFNs, we design four-novel distance/similarity measures for IFSs using the structures of the four aforementioned centers and inspect their properties. To avoid the loss of information during the conversion of IFSs into iso...
Tri-level attribute reduction in rough set theory
105 Citations 2021Xianyong Zhang, Yiyu Yao
Expert Systems with Applications
Attribute reduction serves as a pivotal topic of rough set theory for data analysis. The ideas of tri-level thinking from three-way decision can shed new light on three-level attribute reduction. Existing classification-specific and class-specific attribute reducts consider only macro-top and meso-middle levels. This paper introduces a micro-bottom level of object-specific reducts. The existing two types of reducts apply to the global classification with all objects and a local class with partial objects, respectively. The new type applies to an individual object. These three types of reducts ...
Environmental uncertainty, resource orchestration and digital transformation: A fuzzy-set QCA approach
335 Citations 2021Chen Han-song, Zhen Tian
Journal of Business Research
It is shown that both high and not-high levels of digital maturity can be achieved through different configurations of antecedents, and there also exists a significant effect of technical uncertainty as well as synergy between environmental uncertainty and resource orchestration, which can jointly promote digital transformation.
Antecedents of innovative performance: Findings from PLS-SEM and fuzzy sets (fsQCA)
209 Citations 2020Bahar Kaya, A. Mohammed Abubakar, Elaheh Behravesh + 2 more
Journal of Business Research
Drawing on the “transactive memory” theory, it is proposed that organizational learning and inter-organizational communication can positively impact innovative performance through the mediating role of collaboration for innovation.
Covering-based variable precision fuzzy rough sets with PROMETHEE-EDAS methods
117 Citations 2020Jianming Zhan, Haibo Jiang, Yiyu Yao
Information Sciences
This paper introduces a novel method for addressing multi-attribute decision-making (MADM) problems by combining the CVPFRS model with two traditional decision- making methods (the PROMETHE method and the DEAS method).
Multi-source information fusion based on rough set theory: A review
258 Citations 2020Pengfei Zhang, Tianrui Li, Guoqiang Wang + 5 more
Information Fusion
This survey will directly help researchers understand the research developments of MSIF under RST and provide state-of-the-art understanding in specialized literature, as well as clarify the approaches and application of MSif in RST research community.
Fuzzy-set qualitative comparative analysis (fsQCA) in business and management research: A contemporary overview
383 Citations 2022Satish Kumar, Saumyaranjan Sahoo, Weng Marc Lim + 2 more
Technological Forecasting and Social Change
To make scientific inferences about business phenomena, it may not be sufficient to consider the real-world context of the business environment as statistically symmetrical (e.g., linearly, regular frequencies). This is why recently the use of asymmetrical techniques which draw on the reasoning of complexity theory – such as fuzzy-set qualitative comparative analysis (fsQCA) – to better predict and explain real-world business phenomena using a configurational approach is being increasingly promoted. This article aims to identify the key contributors and knowledge structure of business and mana...
A novel approach towards bipolar complex fuzzy sets and their applications in generalized similarity measures
180 Citations 2021Tahir Mahmood, Ubaid ur Rehman
International Journal of Intelligent Systems
This article defined the new definition of BCFS, and interpreted some generalized trigonometric similarity measures, and applied these similarity measures (SMs) in two real‐life applications to show the benefits and advantages of the proposed SMs.
A new possibility degree measure for interval‐valued q‐rung orthopair fuzzy sets in decision‐making
123 Citations 2020Harish Garg
International Journal of Intelligent Systems
This work considers the multiattribute group decision making (MAGDM) method and embellish it with numerical examples, to rank the alternatives and to confer its more manageable and adaptable nature.
Incremental Feature Selection Using a Conditional Entropy Based on Fuzzy Dominance Neighborhood Rough Sets
130 Citations 2021Binbin Sang, Hongmei Chen, Lei Yang + 2 more
IEEE Transactions on Fuzzy Systems
This work proposes a new rough set model, i.e., fuzzy dominance neighborhood rough sets (FDNRS), and a conditional entropy with robustness is defined based on FDNRS model, which is used as evaluation metric for features and combined with a heuristic feature selection algorithm.
Directional correlation coefficient measures for Pythagorean fuzzy sets: their applications to medical diagnosis and cluster analysis
146 Citations 2021Ming‐Wei Lin, Chao Huang, Riqing Chen + 2 more
Complex & Intelligent Systems
Some novel directional correlation coefficients are put forward to compute the relationship between two PFSs by taking four parameters of the PFS's into consideration, which are the membership degree, non-membership degree, strength of commitment, and direction of commitment.
Fuzzy-set Qualitative Comparative Analysis (fsQCA): Guidelines for research practice in Information Systems and marketing
1726 Citations 2021Ilias O. Pappas, Arch G. Woodside
International Journal of Information Management
The increasing interest in fuzzy-set Qualitative Comparative Analysis (fsQCA) in Information Systems and marketing raises the need for a tutorial paper that discusses the basic concepts and principles of the method, provide answers to typical questions that editors, reviewers, and authors would have when dealing with a new tool of analysis, and practically guide researchers on how to employ fsQCA. This article helps the reader to gain richer information from their data and understand the importance of avoiding shallow information‐from‐data reporting. To this end, it proposes a different resear...
Game Theory for Distributed IoV Task Offloading With Fuzzy Neural Network in Edge Computing
130 Citations 2022Xiaolong Xu, Qinting Jiang, Peiming Zhang + 5 more
IEEE Transactions on Fuzzy Systems
A task offloading scheme fuzzy-task-offloading-and-resource-allocation (F-TORA) based on Takagi–Sugeno fuzzy neural network (T–S FNN) and game theory is designed and the robust performance of the proposed method is validated by comparative experiments.
Complete set of dimension-eight operators in the standard model effective field theory
204 Citations 2021Hao-Lin Li, Zhe Ren, Jing Shu + 3 more
Physical review. D/Physical review. D.
We present a complete list of the dimension 8 operator basis in the standard\nmodel effective field theory using group theoretic techniques in a systematic\nand automated way. We adopt a new form of operators in terms of the irreducible\nrepresentations of the Lorentz group, and identify the Lorentz structures as\nstates in a $SU(N)$ group. In this way, redundancy from equations of motion is\nabsent and that from integration-by-part is treated using the fact that the\nindependent Lorentz basis forms an invariant subspace of the $SU(N)$ group. We\nalso decompose operators into the ones with def...
Determinants of Using AI-Based Chatbots for Knowledge Sharing: Evidence From PLS-SEM and Fuzzy Sets (fsQCA)
127 Citations 2023Mostafa Al‐Emran, Adi Ahmad AlQudah, Ghazanfar Ali Abbasi + 2 more
IEEE Transactions on Engineering Management
The integrated chatbot acceptance-avoidance model, which looks at the positive and negative determinants of using chatbots for knowledge sharing, and provides several managerial implications for universities, instructors, and chatbot developers to help them make insightful decisions and promote the use of chatbots.
Deep-Learning-Based Open Set Fault Diagnosis by Extreme Value Theory
186 Citations 2021Xiaolei Yu, Zhibin Zhao, Xingwu Zhang + 4 more
IEEE Transactions on Industrial Informatics
An open set fault diagnosis method is proposed to address the fault diagnosis problem in a more practical scenario where the test label set consists of a portion of the training label set and some unknown classes.
Updating goal-setting theory in physical activity promotion: a critical conceptual review
200 Citations 2020Christian Swann, Simon Rosenbaum, Alex Lawrence + 3 more
Health Psychology Review
This work critically review and update the application of goal-setting theory in physical activity promotion, by examining core developments in this theory since 1990 and discussing implications for policy, research, and practice.
AHP integrated TOPSIS and VIKOR methods with Pythagorean fuzzy sets to prioritize risks in self-driving vehicles
240 Citations 2020Gözde Bakioğlu, Ali Osman Atahan
Applied Soft Computing
This study addresses the prioritization of risks involved with self-driving vehicles by proposing new hybrid MCDM methods based on the Analytic Hierarchy Process (AHP), the Technique for order preference by similarity to an ideal solution (TOPSIS) and Vlse Kriterijumska Optimizacija I Kompromisno Resenje (VIKOR) under Pythagorean fuzzy environment.
An extended MAIRCA method using intuitionistic fuzzy sets for coronavirus vaccine selection in the age of COVID-19
110 Citations 2022Fatih Ecer
Neural Computing and Applications
This paper proposes a new intuitionistic fuzzy extension of MAIRCA framework, named intuitionists fuzzy MAIR CA (IF-MAIRCA) to assess coronavirus vaccines according to some evaluation criteria, and demonstrates that the most significant criteria considered in coronav virus vaccine selection are “duration of protection,” “effectiveness of the vaccine,’ “success against the mutations,�” and “logistics” respectively.
A Novel Three-Way Decision Model Based on Utility Theory in Incomplete Fuzzy Decision Systems
182 Citations 2021Jianming Zhan, Jin Ye, Weiping Ding + 1 more
IEEE Transactions on Fuzzy Systems
This study constructs a TWD model in IFDSs and applies it to the modeling of incomplete MADM (IMADM) problems, and introduces the notion of relative utility functions and presents an approach to determine the relative utility function values.
A novel approach integrating AHP and TOPSIS under spherical fuzzy sets for advanced manufacturing system selection
287 Citations 2020Manoj Mathew, Ripon K. Chakrabortty, Michael J. Ryan
Engineering Applications of Artificial Intelligence
A novel framework is elaborated which combines AHP and TOPSIS with a spherical fuzzy set, which is effective in handling uncertainty in decision making and leads to robust and competitive results compared with state-of-the-art multi-criteria decision-making (MCDM) approaches.
Evaluation of supplier selection in the defense industry using q-rung orthopair fuzzy set based EDAS approach
104 Citations 2023Bartu Güneri, Muhammet Deveci
Expert Systems with Applications
The main purpose of this study is to evaluate the selection criteria of supplier companies operating in the defense industry using fuzzy based decision-making models. In the study, supplier selection criteria were constructed through a detailed analysis of numerous studies conducted between 1966 and 2019. Delphi method and Analytical Hierarchy Process (AHP) are used in the analysis. In the implementation phase, four different companies were determined, then evaluations of experts who with worked with these companies at various times were collected. The q-Rung Orthopair Fuzzy Set (q-ROFS) based...
Feature Selection With Missing Labels Using Multilabel Fuzzy Neighborhood Rough Sets and Maximum Relevance Minimum Redundancy
158 Citations 2021Lin Sun, Tengyu Yin, Weiping Ding + 2 more
IEEE Transactions on Fuzzy Systems
A feature selection algorithm is designed to improve the performance for multilabel data with missing labels and is effective not only for recovering missing labels but also for selecting significant features with better classification performance.
How Firm Are the Foundations of Mind-Set Theory? The Claims Appear Stronger Than the Evidence
129 Citations 2020Alexander P. Burgoyne, David Z. Hambrick, Brooke N. Macnamara
Psychological Science
The results suggest that the foundations of mind-set theory are not firm and that bold claims about mind- set appear to be overstated.
Landfill Site Selection for Medical Waste Using an Integrated SWARA-WASPAS Framework Based on Spherical Fuzzy Set
105 Citations 2021Saeid Jafarzadeh Ghoushchi, Shabnam Rahnamay Bonab, Ali Memarpour Ghiaci + 3 more
Sustainability
This study aims to propose a novel approach to selecting the optimal landfill for medical waste using Multi-Criteria Decision-Making (MCDM) methods extended by spherical fuzzy sets (SFS).
A consensus model for hesitant fuzzy linguistic group decision-making in the framework of Dempster–Shafer evidence theory
110 Citations 2020Пэйдэ Лю, Xiaohong Zhang, Witold Pedrycz
Knowledge-Based Systems
A new CRP model for GDM problems with hesitant fuzzy linguistic term sets (HFLTSs), which also considers the reliability of experts, is developed and the reliability is introduced to build a new feedback mechanism that provides experts with explicit advice during the consensus reaching process.