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This paper develops a category-theoretic approach to uncertainty, informativeness and decision-making problems. It is based on appropriate first order fuzzy logic in which not only logical connectives but also quantifiers have fuzzy…

General Mathematics · Mathematics 2007-05-23 P. V. Golubtsov , S. S. Moskaliuk

We introduce a general theory of epistemic random fuzzy sets for reasoning with fuzzy or crisp evidence. This framework generalizes both the Dempster-Shafer theory of belief functions, and possibility theory. Independent epistemic random…

Artificial Intelligence · Computer Science 2024-05-08 Thierry Denoeux

We propose a new mathematical framework for the evolution and propagation of opinions, called Fuzzy Opinion Network, which is the connection of a number of Gaussian Nodes, possibly through some weighted average, time-delay or logic…

Social and Information Networks · Computer Science 2016-02-24 Li-Xin Wang , Jerry M. Mendel

In this paper the author presents a kind of Soft Computing Technique, mainly an application of fuzzy set theory of Prof. Zadeh [16], on a problem of Medical Experts Systems. The choosen problem is on design of a physician's decision model…

Artificial Intelligence · Computer Science 2010-05-24 Siddharths Sankar Biswas

We investigate a data-driven approach to constructing uncertainty sets for robust optimization problems, where the uncertain problem parameters are modeled as random variables whose joint probability distribution is not known. Relying only…

Optimization and Control · Mathematics 2020-09-22 Polina Alexeenko , Eilyan Bitar

Many data mining approaches aim at modelling and predicting human behaviour. An important quantity of interest is the quality of model-based predictions, e.g. for finding a competition winner with best prediction performance. In real life,…

Human-Computer Interaction · Computer Science 2017-02-27 Kevin Jasberg , Sergej Sizov

Understanding, modelling and predicting human risky decision-making is challenging due to intrinsic individual differences and irrationality. Fuzzy trace theory (FTT) is a powerful paradigm that explains human decision-making by…

Computation and Language · Computer Science 2022-08-09 Jaron Mar , Jiamou Liu

A fuzzy opinion is a Gaussian fuzzy set with the center representing the opinion and the standard deviation representing the uncertainty about the opinion, and a fuzzy opinion network is a connection of a number of fuzzy opinions in a…

Multiagent Systems · Computer Science 2024-12-20 Li-Xin Wang

In this paper, we are trying to examine trade offs between fuzzy logic and certain Bayesian networks and we propose to combine their respective advantages into fuzzy certain Bayesian networks (FCBN), a certain Bayesian networks of fuzzy…

Artificial Intelligence · Computer Science 2012-06-07 Abdelkader Heni , Mohamed Nazih Omri , Adel Alimi

Artificial intelligence models trained from data can only be as good as the underlying data is. Biases in training data propagating through to the output of a machine learning model are a well-documented and well-understood phenomenon, but…

Machine Learning · Computer Science 2025-04-02 Stefan Rass , Martin Dallinger

Regarding the rapid growth of the size and complexity of simulation applications, designing applicable and affordable verification and validation (V&V) structures is an important problem. On the other hand, nowadays human behavior models…

Computers and Society · Computer Science 2013-03-07 M. Kouzehgar , M. A. Badamchizadeh , S. Khanmohammadi

A simple Bayesian approach to nonparametric regression is described using fuzzy sets and membership functions. Membership functions are interpreted as likelihood functions for the unknown regression function, so that with the help of a…

Methodology · Statistics 2008-12-18 Jean-François Angers , Mohan Delampady

Methods for analyzing or learning from "fuzzy data" have attracted increasing attention in recent years. In many cases, however, existing methods (for precise, non-fuzzy data) are extended to the fuzzy case in an ad-hoc manner, and without…

Machine Learning · Computer Science 2017-10-10 Eyke Hüllermeier

The rough-set theory proposed by Pawlak, has been widely used in dealing with data classification problems. The original rough-set model is, however, quite sensitive to noisy data. Tzung thus proposed deals with the problem of producing a…

Data Structures and Algorithms · Computer Science 2012-04-09 Ali Soltan Mohammadi , L. Asadzadeh , D. D. Rezaee

Many mathematical models utilize limit processes. Continuous functions and the calculus, differential equations and topology, all are based on limits and continuity. However, when we perform measurements and computations, we can achieve…

Artificial Intelligence · Computer Science 2025-10-20 Mark Burgin

In this paper, we first consider a Bayesian framework and model the "utility function" in terms of fuzzy random variables. On the basis of this model, we define the "prior (fuzzy) expected utility" associated with each action, and the…

Artificial Intelligence · Computer Science 2013-04-08 Maria Angeles Gil , Pramod Jain

Any data annotation for subjective tasks shows potential variations between individuals. This is particularly true for annotations of emotional responses to musical stimuli. While older approaches to music emotion recognition systems…

Sound · Computer Science 2025-01-22 Karn N. Watcharasupat , Yiwei Ding , T. Aleksandra Ma , Pavan Seshadri , Alexander Lerch

In stochastic decision problems, one often wants to estimate the underlying probability measure statistically, and then to use this estimate as a basis for decisions. We shall consider how the uncertainty in this estimation can be…

Statistics Theory · Mathematics 2017-05-24 Samuel N. Cohen

Vagueness and uncertainty management is counted among one of the challenges that remain unresolved in systems that generate texts from non-linguistic data, known as data-to-text systems. In the last decade, work in fuzzy linguistic…

Artificial Intelligence · Computer Science 2017-10-30 A. Ramos-Soto , M. Pereira-Fariña

This paper discusses a class of uncertain optimization problems, in which unknown parameters are modeled by fuzzy intervals. The membership functions of the fuzzy intervals are interpreted as possibility distributions for the values of the…

Data Structures and Algorithms · Computer Science 2020-09-15 Adam Kasperski , Pawel Zielinski