Foundational theories of hesitant fuzzy sets and families of hesitant fuzzy sets

2023/11/07 by Shizhan Lu, Lu, Shizhan, Xu, Zeshui +3
Computer Science · Engineering · #Advanced Computational Techniques in Science and Engineering #Advanced Data Processing Techniques #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #Fuzzy Logic and Control Systems #Information Theory (cs.IT) #Machine Learning (cs.LG)

paper · pdf · doi:10.48550/arxiv.2311.04256

openalex publication_date 2023/11/07 · openalex created_date 2023/11/10 · openalex updated_date 2026/07/28

Abstract

Hesitant fuzzy sets find extensive application in specific scenarios involving uncertainty and hesitation. In the context of set theory, the concept of inclusion relationship holds significant importance as a fundamental definition. Consequently, as a type of sets, hesitant fuzzy sets necessitate a clear and explicit definition of the inclusion relationship. Based on the discrete form of hesitant fuzzy membership degrees, this study proposes multiple types of inclusion relationships for hesitant fuzzy sets. Subsequently, this paper introduces foundational propositions related to hesitant fuzzy sets, as well as propositions concerning families of hesitant fuzzy sets.

Related

• Foundational propositions of hesitant fuzzy soft β-covering approximation spaces
• Introducing Two New Classes of Hesitant Fuzzy Soft Sets
• Some new similarity measures for hesitant fuzzy sets and their applications in multiple attribute decision making
• A Novel Generalization of Hesitant Fuzzy Model with Application in Sustainable Supply Chain Optimization
• Uncertainty measures for probabilistic hesitant fuzzy sets in multiple criteria decision making