Multi-criteria decision analysis is a quantitative approach to the drug benefit-risk assessment which allows for consistent comparisons by summarising all benefits and risks in a single score. The multi-criteria decision analysis consists of several components, one of which is the utility (or loss) score function that defines how benefits and risks...
Published in Statistical methods in medical research
Multi-criteria decision analysis is a quantitative approach to the drug benefit-risk assessment which allows for consistent comparisons by summarising all benefits and risks in a single score. The multi-criteria decision analysis consists of several components, one of which is the utility (or loss) score function that defines how benefits and risks...
Published in Information Processing and Management of Uncertainty in Knowledge-Based Systems
In this paper, in order to generalize the Choquet integral, we replace the difference between inputs in its definition by a restricted dissimilarity function and refer to the obtained function as d -Choquet integral. For some particular restricted dissimilarity function the corresponding d -Choquet integral with respect to a fuzzy measure is just t...
Published in Information Processing and Management of Uncertainty in Knowledge-Based Systems
Atanassov’s intuitionistic fuzzy set theory is based on the lattice \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^*$$\end{document} of intuitionistic values and the...
Published in Information Processing and Management of Uncertainty in Knowledge-Based Systems
We present a method of generalization of the Lovász extension formula combining two known approaches - the first of them based on the replacement of the product operator by some suitable binary function F and the second one based on the replacement of the minimum operator by a suitable aggregation function A . We propose generalization by simultane...
Published in Information Processing and Management of Uncertainty in Knowledge-Based Systems
Based on bi-capacities and related Choquet integral introduced by Grabisch and Labreuche, a new generalization of OWA operators, namely BIOWA operators are introduced. Our approach is exemplified by several examples. Bi-capacities leading to the standard Yager’s OWA operators on real line are completely characterized.
Published in Information Processing and Management of Uncertainty in Knowledge-Based Systems
In the paper Jin et al. [ 8 ] the authors introduced a generalized phi-transformation of aggregation functions. This is a kind of two-step aggregation. This transformation was further developed in Jin et al. [ 9 ] into a Generalized-Convex-Sum-Transformation. A special case of the proposed Generalized-Convex-Sum-Transformation is the well-known *-p...
Published in Granular Computing
Possibility distribution was originally introduced by Negoita et al. (Fuzzy Sets Syst 1:61–72, 1978), which has some relation to fuzzy sets while has its own practical meaning. During more than three decades, it has some developments especially in theoretical studies. As an alternative way to model uncertainty, possibility theory has its own advant...
