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Dear Colleagues,

There is a particular level of incompleteness and uncertainty in complicated decision-making problems. Thus, the fuzzy set proposed by Zadeh has been widely used in the field of decision making. Due to the need for better and detailed membership functions in real decision-making problems, classical fuzzy sets have been extended to type-2 fuzzy sets, hesitant fuzzy sets, multivalued fuzzy sets, cubic sets, intuitionistic fuzzy sets, etc. Each of them is attracting significant attention in decision making, with these fuzzy theories being used in various decision-making applications. In recent years, new progress and achievements have been made in various decision-making problems through the use of various fuzzy theories.

The focus of this Special Issue is the extension and applications of advanced fuzzy theory to solve various decision-making problems. Articles submitted to this Special Issue can also be concerned with various advanced fuzzy theories, fuzzy decision theories and methods, and applications in decision making. We invite researchers to contribute original research articles and review articles, which will stimulate continuous research on various fuzzy theories, fuzzy decision theories and methods, and applications to solve various decision-making problems.

Prof. Jun Ye
Dr. Yanhui Guo
Guest Editors

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Related Special Issue

Published Papers (1 paper)

Research

18 pages, 4727 KiB

Open AccessArticle

Protecting Infrastructure Networks: Solving the Stackelberg Game with Interval-Valued Intuitionistic Fuzzy Number Payoffs

by Yibo Dong, Jin Liu, Jiaqi Ren, Zhe Li and Weili Li

Mathematics 2023, 11(24), 4992; https://doi.org/10.3390/math11244992 - 18 Dec 2023

Viewed by 543

Abstract

Critical infrastructure is essential for the stability and development of modern society, and a combination of complex network theory and game theory has become a new research direction in the field of infrastructure protection. However, existing studies do not consider the fuzziness and subjective factors of human judgment, leading to challenges when analyzing strategic interactions between decision makers. This paper employs interval-valued intuitionistic fuzzy numbers (IVIFN) to depict the uncertain payoffs in a Stackelberg game of infrastructure networks and then proposes an algorithm to solve it. First, we construct IVIFN payoffs by considering the different complex network metrics and subjective preferences of decision makers. Next, we propose a lexicographic algorithm to solve this game based on the concept of a strong Stackelberg equilibrium (SSE). Finally, we conduct experiments on target scale-free networks. Our results illustrate that in an SSE, for the defender in a weak position, it is better to defend nodes with high degrees. The experiments also indicate that taking fuzziness into account leads to higher SSE payoffs for the defender. Our work aims to solve a Stackelberg game with IVIFN payoffs and apply it to enhance the protection of infrastructure networks, thereby improving their overall security. Full article

(This article belongs to the Special Issue Advances in Fuzzy Decision Theory and Applications, 2nd Edition)

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