On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory

• Corporate Author: SpringerLink (Online service)
• Other Authors: Saminger-Platz, Susanne (Editor), Mesiar, Radko (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Edition: 1st ed. 2016.
• Series: Studies in Fuzziness and Soft Computing, 336
• Subjects: Engineering.; Algebra.; Ordered algebraic structures.; Mathematical logic.; Computational intelligence.; Computational Intelligence.; Mathematical Logic and Foundations.; Order, Lattices, Ordered Algebraic Structures.

The book is a collection of contributions by leading experts, developed around traditional themes discussed at the annual Linz Seminars on Fuzzy Set Theory. The different chapters have been written by former PhD students, colleagues, co-authors and friends of Peter Klement, a leading researcher and...

Table of Contents:

• Fuzzy Logic and the Linz Seminar:Themes and some Personal Reminiscences
• How I Saw and How I See Fuzzy Sets
• Modules in the Category
• A Geometric Approach to MV-algebras
• On the Equational Characterization of Continuous t-norms
• The Semantics of Fuzzy Logics: Two Approaches to Finite Tomonoids
• Structure of Uninorms with Continuous Diagonal Functions
• The Notions of Overlap and Grouping Functions
• Asymmetric Copulas and Their Application in Design of Experiments
• Copulæ of Processes Related to the Brownian Motion: a Brief Survey
• Extensions of Capacities
• Multi-source Information Fusion Using Measure Representations
• Bases and Transforms of Set Functions
• Conditioning for Boolean Subsets, Indicator Functions, and Fuzzy Subsets
• Multivalued Functions Integration from Additive to Arbitrary Non-Negative Set Function.