The aim of this paper is to show how fuzzy measures and intervals can be combined in order to provide a simple and accurate practical solution to multi-criteria decision making problems. More specifically, we construct an interval-based Choquet integral in order to derive preferences over a set of multidimensional alternatives.

Software development comprises of processes which can be controlled, managed and improved by software measurement. The efficiency of software measurement is determined by software quality, which assesses the position of any software company in the international economic scenario. This calls for a need to develop quality models which would quantify the various quality parameters. However, these ...

The application of multi-attribute utility theory whose aggregation process is based on the Choquet integral requires the prior identification of a capacity. The main approaches to capacity identification proposed in the literature are reviewed and their advantages and inconveniences are discussed. All the reviewed methods have been implemented within the Kappalab R package. Their application i...

The application of multi-attribute utility theory whose aggregation process is based on the Choquet integral requires the prior identification of a capacity. The main approaches to capacity identification proposed in the literature are reviewed and their advantages and inconveniences are discussed. All the reviewed methods have been implemented within the Kappalab R package. Their application i...

Evaluating software quality is an important and essential issue in the development process because it helps to deliver a competitive software product. A decision of selecting the best software based on quality attributes is a type of multi-criteria decision-making (MCDM) processes where interactions among criteria should be considered. This paper presents and develops quantitative evaluations b...

the traditional fuzzy operators, such as t-norms, t-conorms and averaging operators have been used for soil suitability evaluation to aggregate criteria as an overall suitability index. however, such operators do not account for the degree of compensation common to human aggregation criteria, especially in the presence of conflicting criteria. fuzzy integrals are powerful and flexible aggregati...

In [3] we introduced a “monotone-type” (that is, Choquet-type) integral for realvalued functions, with respect to finitely additive positive set functions, with values in a Dedekind complete Riesz space. A “Lebesgue-type” integral for such kind of functions was investigated in [7]. In [4] we gave some comparison results for these types of integrals. In [10], a Choquet-type integral for real-val...

In recent years, one can see an increasing interest in the security of digital images. This research presents a new RGB color image encryption using keystream generator based on Choquet fuzzy integral (CFI). The properties of the dynamical keystream generator with mathematical analysis are presented in this work. In the proposed method, the CFI is first used to generate pseudo-random keystreams...

We generalise belief functions to many-valued events which are represented by elements of Lindenbaum algebra of infinite-valued Łukasiewicz propositional logic. Our approach is based on mass assignments used in the Dempster–Shafer theory of evidence. A generalised belief function is totally monotone and it has Choquet integral representation with respect to a unique belief measure on Boolean ev...