Article
Computer Science, Artificial Intelligence
Shijing Zeng, Wangyong Lv, Tingting Li, Jiao Zhou
Summary: Interval numbers multiple attribute decision-making (MADM) is a crucial field in uncertainty decision theory, where the choice of aggregation operator greatly impacts the decision outcome. This paper analyzes the ordered weighted average (OWA) operator and its extensions, and proposes the interval numbers BON-OWA (IBr,q-OWA) operator to handle vague decision information. By examining properties and special aggregation operators, the effectiveness of the IBr,q-OWA operator in making decisions is highlighted, showcasing its scientific approach in practical examples.
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
(2021)
Article
Mathematics
Rodrigo Gomez Monge, Evaristo Galeana Figueroa, Victor G. Alfaro-Garcia, Jose M. Merigo, Ronald R. Yager
Summary: This paper introduces variance logarithmic averaging operators and analyzes their properties, families, and particular cases, providing an illustrative example from financial markets to showcase the design of these operators. Results show that the use of variance measures aids decision-making by offering new tools for information analysis and extends the available tools for decision-making under ignorance, uncertainty, and subjective environments.
Article
Computer Science, Artificial Intelligence
Fang Liu, Maojie Huang, Witold Pedrycz, Hui Zhao
Summary: This article discusses the use of fuzzy numbers and sets in practical decision making processes, introducing a new method for computing the flexibility degree of fuzzy numbers. By studying the flexibility degrees of triangular and trapezoidal fuzzy numbers and considering the effects of scale and reciprocal properties, novel formulas for weighted averaging operators are proposed for decision making.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2021)
Article
Mathematics, Applied
Jun Hu, Jie Wu, Mengzhe Wang
Summary: This study proposes a decision-making method based on interval Pythagorean triangular fuzzy numbers, which combines the advantages of interval Pythagorean fuzzy numbers and triangular fuzzy numbers to handle fuzzy information more accurately, thus improving the scientificity and effectiveness of decision-making.
Article
Automation & Control Systems
Ye Tian, Xiangjun Mi, Yunpeng Ji, Bingyi Kang
Summary: A new concept of extended Z-numbers was proposed to address the limitations of the original representation method. Based on this, a multi-attribute group decision-making method was developed. Application examples demonstrate the rationality and effectiveness of the proposed methodology, showing superiority through comparison and discussion with other methods.
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE
(2021)
Article
Mathematics
Emili Vizuete-Luciano, Sefa Boria-Reverter, Jose M. Merigo-Lindahl, Anna Maria Gil-Lafuente, Maria Luisa Sole-Moro
Summary: This paper introduces a new assignment algorithm using the OWA operator and its extensions in the Branch-and-bound algorithm, providing more detailed information. The algorithm is applied in a consumer decision-making model in Barcelona, aiding in selecting grocery districts that best suit their needs, while considering different sources of information independently.
Article
Computer Science, Artificial Intelligence
Harish Garg, Sumera Naz, Faiza Ziaa, Zulkaif Shoukat
Summary: This paper proposes the Muirhead mean and dual Muirhead means operators under the complex interval-valued q-rung orthopair fuzzy set environment for more effectively representing decision-makers' evaluation information in multiple attribute group decision-making. The key advantages of these aggregation operators lie in capturing multi-attribute correlations and enabling a more flexible data aggregation process through the parameter vector.
Article
Computer Science, Artificial Intelligence
Rui Cheng, Jianping Fan, Meiqin Wu
Summary: This paper proposes an R-numbers Dynamic Multi-Attribute Group Decision-Making (DMAGDM) method, which accurately captures risks. It introduces the properties of the R-numbers Einstein Weighted Averaging (RNEWA) operator and R-numbers Weighted Einstein Geometric (RNEWG) operator. Additionally, the paper constructs an expert weight determination model and an attribute weight determination model, and builds static and dynamic rating calculation models. The applicability and effectiveness of the R-numbers DMAGDM method are demonstrated through a case study on supply chain risk assessment of manufacturing enterprises.
COMPLEX & INTELLIGENT SYSTEMS
(2023)
Article
Computer Science, Artificial Intelligence
Yuchu Qin, Qunfen Qi, Peizhi Shi, Paul J. Scott, Xiangqian Jiang
Summary: In this paper, a weighted averaging operator of linguistic interval-valued intuitionistic fuzzy numbers (LIVIFNs) based on Dempster-Shafer evidence theory is proposed for solving cognitively inspired decision-making problems. The developed operational rules of LIVIFNs are proven to be always invariant and persistent, and the constructed aggregation operator is proven to be always monotone. The effectiveness and advantage of the presented method are demonstrated through quantitative comparisons with several existing methods.
COGNITIVE COMPUTATION
(2023)
Article
Computer Science, Artificial Intelligence
Jing Yang, Shenggang Li, Zeshui Xu, Heng Liu, Wei Yao
Summary: This article explores a method to extend the ordinary linear order on the set of real numbers to the set of interval numbers, and proposes an ordering method for dealing with complex preference relations in group decision-making problems. It investigates the properties and applications of the induced linear order on sequences of interval numbers, providing a clear description of the relation between admissible orders and proposed orders.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2021)
Article
Computer Science, Interdisciplinary Applications
Zhimin Mu, Shouzhen Zeng, Pinyue Wang
Summary: Two new comparison functions were proposed to distinguish IVPFNs, and new comparison rules and operators were introduced to address MAGDM problems, with a study on the properties of the operators and the development of a new method, demonstrating the effectiveness and superiority of the proposed approach.
COMPUTERS & INDUSTRIAL ENGINEERING
(2021)
Article
Computer Science, Artificial Intelligence
Fang Liu, Caixia Huang, Tong Liu
Summary: Group decision making under a fuzzy environment is a recent research focus, where a novel model using triangular fuzzy numbers to express DMs' opinions is proposed. A generalized consistency index is constructed to quantify the inconsistency degree of TFMRMs, leading to a new algorithm for solving GDM problems with TFMRMs.
Article
Computer Science, Artificial Intelligence
Weiwei Li, Pingtao Yi, Lingyu Li
Summary: This paper introduces a new aggregation operator (CB-IOWA) that allows alternatives to highlight their competitive advantage and calculates final weights to reflect this advantage, discussing its main properties and providing an application example to illustrate its usage.
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
(2021)
Article
Computer Science, Theory & Methods
Wen He, Rosa M. Rodriguez, Bapi Dutta, Luis Martinez
Summary: This article introduces a new representation model called ELICIT, which aims to improve the interpretability and accuracy of Computing with Words (CW) processes. An aggregation operator ELICIT-t1-OWA is proposed to deal with ELICIT information, using trapezoidal fuzzy representations to simplify the CW processes. The properties of the ELICIT-t1-OWA operator are studied, and a method to handle its weights and arguments is provided using fuzzy numbers. Finally, a decision-making model is developed to handle ELICIT information and demonstrate its effectiveness.
FUZZY SETS AND SYSTEMS
(2022)
Article
Computer Science, Artificial Intelligence
Benting Wan, Zhaopeng Hu, Harish Garg, Youyu Cheng, Mengjie Han
Summary: This paper proposes a novel integrated group decision-making method for evaluating the quality of hypertension follow-up systems in community hospitals. The method includes designing evaluation indices, determining weights, and selecting the best alternative. A comprehensive GDM algorithm is proposed, which integrates similarity, score function, IVq-ROFWFAWA operator, attribute weights, expert weights, and ARAS. The applicability and effectiveness of the proposed method are demonstrated through a case study.
COMPLEX & INTELLIGENT SYSTEMS
(2023)
