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.