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)

Special Issue Editor

Guest Editor
Prof. Dr. Radko Mesiar
Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology, Radlinskeho 11, 81368 Bratislava, Slovakia
Website: http://www.math.sk/mesiar/
E-Mail: mesiar@math.sk
Phone: +421 2 592 74 414
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

Special Issue Information

Dear Colleagues,

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
Guest Editor


Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. Papers will be published continuously (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are refereed through a peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed Open Access quarterly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. For the first couple of issues the Article Processing Charge (APC) will be waived for well-prepared manuscripts. English correction and/or formatting fees of 250 CHF (Swiss Francs) will be charged in certain cases for those articles accepted for publication that require extensive additional formatting and/or English corrections.


convergence theorems
Dempster-Shafer theory
interaction index
integral inequalities
measures of information
monotone measure
possibility theory
signed measure
states on algebraic structures

Published Papers (2 papers)

Download All Papers
Sort by:
Display options:
Select articles Export citation of selected articles as:
Select/unselect all
Displaying article 1-2
p. 390-403
by  and
Axioms 2013, 2(3), 390-403; doi:10.3390/axioms2030390
Received: 16 April 2013; in revised form: 31 May 2013 / Accepted: 19 June 2013 / Published: 23 July 2013
Show/Hide Abstract | PDF Full-text (241 KB)
(This article belongs to the Special Issue Axiomatic Approach to Monotone Measures and Integrals)
p. 208-223
by , , ,  and
Axioms 2013, 2(2), 208-223; doi:10.3390/axioms2020208
Received: 25 February 2013; in revised form: 21 March 2013 / Accepted: 3 April 2013 / Published: 23 April 2013
Show/Hide Abstract | PDF Full-text (252 KB)
(This article belongs to the Special Issue Axiomatic Approach to Monotone Measures and Integrals)
Select/unselect all
Displaying article 1-2
Select articles Export citation of selected articles as:

Last update: 8 November 2012

Axioms EISSN 2075-1680 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert