Mathematical Foundations of Fuzzy Sets. (2023)

• Record Type: Book
• Other Names: Wu, Hsien-Chung
• Contents: 8.1.2.1 The Inner Product A˜⊛DT⋄B˜ -- 8.1.2.2 The Inner Product A˜⊛DT⋆B˜ -- 8.1.2.3 The Inner Product A˜⊛DT†B˜ -- 8.1.3 The Equivalences and Fuzziness -- 8.2 The Second Type of Inner Product -- 8.2.1 Using the Extension Principle -- 8.2.2 Using the Expression in the Decomposition Theorem -- 8.2.3 Comparison of Fuzziness -- Chapter 9 Gradual Elements and Gradual Sets -- 9.1 Gradual Elements and Gradual Sets -- 9.2 Fuzzification Using Gradual Numbers -- 9.3 Elements and Subsets of Fuzzy Intervals -- 9.4 Set Operations Using Gradual Elements -- 9.4.1 Complement Set -- 9.4.2 Intersection and Union -- 9.4.3 Associativity -- 9.4.4 Equivalence with the Conventional Situation -- 9.5 Arithmetics Using Gradual Numbers -- Chapter 10 Duality in Fuzzy Sets -- 10.1 Lower and Upper Level Sets -- 10.2 Dual Fuzzy Sets -- 10.3 Dual Extension Principle -- 10.4 Dual Arithmetics of Fuzzy Sets -- 10.5 Representation Theorem for Dual-Fuzzified Function -- Bibliography -- Mathematical Notations -- Index -- EULA.
• Publisher Details: Newark : John Wiley and Sons, Incorporated
• Publication Date: 2023
• Copyright Date: 2023
• Extent: 1 online resource (419 pages)
• Subjects: 511.3223; Fuzzy mathematics; Fuzzy sets; Electronic books
• Languages: English
• ISBNs: 1119981549; 9781119981541
• Related ISBNs: 9781119981527
• Notes: Note: Description based on publisher supplied metadata and other sources.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.