The relationship is studied between possibility and necessity measures defined on arbitrary spaces, the theory of imprecise probabilities, and elementary random set theory. It is shown how special random sets can be used to generate normal possibility and necessity measures, as well as their natural extensions. This leads to interesting alternative formulas for the calculation of these natural ...

We study the relationship between possibility and necessity measures defined on arbitrary spaces, the theory of imprecise probabilities, and elementary random set theory. We show how special random sets can be used to generate normal possibility and necessity measures, as well as their natural extensions. This leads to interesting alternative formulas for the calculation of these natural extens...

The paper proposes a diagnostic method using possibility theory. According to possibility theory, fuzzy set A on a set of possible causes U, B on possible symptoms V, and a fuzzy relation R on U ́V could be understood as possibility distributions pU(ui), pV(vj) and a conditional possibility distribution pV1⁄2U(vj1⁄2ui), respectively. In this paper, we define diagnosis as a problem to obtain poss...

Benchmarking is the major reason for widespread use of DEA models efficiency analysis. Determining closest targets DMUs, play a key role in benchmarking their best performance. In fact, these help develop certain performance enhancement plans that need fewer attempts made by DMUs. Therefore, this study proposes novel method based on network to determine most appropriate target every stage addit...

This dissertation explores the interdisciplinary applications of computational methods in quantitative economics. Particularly, this thesis focuses on problems in productive efficiency analysis and benchmarking that are hardly approachable or solvable using conventional methods. In productive efficiency analysis, null or zero values are often produced due to the wrong skewness or low kurtosis o...

In this paper, we consider several types of in­ formation and methods of combination asso­ ciated with incomplete probabilistic systems. \Ve discriminate between 'a priori' and evi­ dential information. The former one is a de­ scription of the whole population, the latest is a restriction based on observations for a particular case. Then, we proposse different combination methods for each one o...