Special Issue "Axiomatic Approach to Monotone Measures and Integrals"
A special issue of Axioms (ISSN 2075-1680).
Deadline for manuscript submissions: closed (30 March 2013)
Prof. Dr. Radko Mesiar
Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology, Radlinskeho 11, 81005 Bratislava, Slovakia
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Interests: non-additive measure and integral theory; uncertainty modelling; fuzzy sets and fuzzy logic; multicriteria decision support; copulas; triangular norms; aggregation operators and related operators; intelligent computing
monotone measures and integrals generalizing the classical additive approach occur frequently in many diverse fields of mathematical but also economical and engineering sciences, in several kinds of decisions procedures when considering interaction, etc. The standard development of the theory goes from constructive proposal to final axiomatization - see, e.g., the case of Riemann, Lebesgue or Choquet integrals. Recently, several new approaches to measures and integrals (mostly dealing with real-valued set functions as measures and real-vaalued functions as integrands) appeared, mostly aiming to find appropriate models for advanced multi-criteria decision aid. Obviously, new proposals are also beyond the above mentioned framework. Special Issue of Axioms "Axiomatic Approach to Monotone Measures and Integrals" aims to collect axiomatization of these new types of monotone measures and integrals, as well as related survey papers.
Prof. Dr. Radko Mesiar
Manuscript Submission Information
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- convergence theorems
- Dempster-Shafer theory
- interaction index
- integral inequalities
- measures of information
- monotone measure
- possibility theory
- signed measure
- states on algebraic structures