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In this study, we present a novel clinical decision support system and discuss its interpretability-related properties. It combines a decision set of rules with a machine learning scheme to offer global and local interpretability. More…

Methodology · Statistics 2021-07-16 Francisco Valente , Simão Paredes , Jorge Henriques

In this paper, we define the notion of a mapping on soft classes and study several properties of images and inverse images of soft sets supported by examples and counterexamples. Finally, these notions have been applied to the problem of…

Logic · Mathematics 2010-06-28 Athar Kharal , B. Ahmad

The aim of this paper is to introduce the notion of bipolar fuzzy soft hypervector spaces and study their basic properties. In this regard, at first some new operation and external hyperoperation are defined on bipolar fuzzy soft sets over…

General Mathematics · Mathematics 2023-10-12 O. R. Dehghan

As machine learning is increasingly used to help make decisions, there is a demand for these decisions to be explainable. Arguably, the most explainable machine learning models use decision rules. This paper focuses on decision sets, a type…

Artificial Intelligence · Computer Science 2020-07-31 Jinqiang Yu , Alexey Ignatiev , Peter J. Stuckey , Pierre Le Bodic

This paper presents a general framework about what is a decision problem. Our motivation is related to the fact that decision analysis and operational research are structured (as disciplines) around classes of methods, while instead we…

Artificial Intelligence · Computer Science 2023-01-10 Alberto Colorni , Alexis Tsoukiàs

The purpose of this paper is to construct topology on vague soft sets. The concept of vague soft topology is introduced and its basic properties are given.

General Mathematics · Mathematics 2014-07-03 D. Tokat , İ. Osmanoğlu

The variant of calculation of functions of set and their application is offered. In particular: the new measure of system of sets generalizing classical concept of a measure is entered; the variation of set that has allowed to construct a…

Functional Analysis · Mathematics 2007-07-16 A. A. Bosov

A broad range of on-line behaviors are mediated by interfaces in which people make choices among sets of options. A rich and growing line of work in the behavioral sciences indicate that human choices follow not only from the utility of…

Data Structures and Algorithms · Computer Science 2017-05-17 Jon Kleinberg , Sendhil Mullainathan , Johan Ugander

We report on the possibilities of using the method of normal fundamental systems for solving some problems of oscillation theory. Large elastic dynamical systems with continuous and discrete parameters are considered, which have many…

Numerical Analysis · Mathematics 2007-05-23 Olena V. Mul , Delfim F. M. Torres

In this paper we give a method, based on the characteristic function of a set, to solve some difficult problems of set theory in undergraduate research.

General Mathematics · Mathematics 2007-07-23 Mihaly Bencze , Florentin Smarandache

Various tasks in decision making and decision support systems require selecting a preferred subset of a given set of items. Here we focus on problems where the individual items are described using a set of characterizing attributes, and a…

Artificial Intelligence · Computer Science 2014-01-16 Maxim Binshtok , Ronen I. Brafman , Carmel Domshlak , Solomon Eyal Shimony

In robust optimization, the uncertainty set is used to model all possible outcomes of uncertain parameters. In the classic setting, one assumes that this set is provided by the decision maker based on the data available to her. Only…

Optimization and Control · Mathematics 2019-01-23 Trivikram Dokka , Marc Goerigk , Rahul Roy

This book dwells on mathematical and algorithmic issues of data analysis based on generality order of descriptions and respective precision. To speak of these topics correctly, we have to go some way getting acquainted with the important…

Logic in Computer Science · Computer Science 2019-08-30 Sergei O. Kuznetsov

We contemplate this article to help the teachers of programming in his aspiration for giving some appropriate and interesting examples. The work will be especially useful for students-future programmers, and for their lecturers. Some of the…

Programming Languages · Computer Science 2021-08-02 Krasimir Yordzhev

Medical diagnosis process vary in the degree to which they attempt to deal with different complicating aspects of diagnosis such as relative importance of symptoms, varied symptom pattern and the relation between diseases them selves. Based…

Artificial Intelligence · Computer Science 2013-01-28 B. K. Tripathy , D. P. Acharjya , V. Cynthya

Classification systems are evaluated in a countless number of papers. However, we find that evaluation practice is often nebulous. Frequently, metrics are selected without arguments, and blurry terminology invites misconceptions. For…

Machine Learning · Computer Science 2024-07-03 Juri Opitz

The concept of sequential choice functions is introduced and studied. This concept applies to the reduction of the problem of stable matchings with sequential workers to a situation where the workers are linear.

Combinatorics · Mathematics 2024-03-26 Vladimir I. Danilov

The notion of rough set captures indiscernibility of elements in a set. But, in many real life situations, an information system establishes the relation between different universes. This gave the extension of rough set on single universal…

Artificial Intelligence · Computer Science 2013-01-30 B. K. Tripathy , D. P. Acharjya

Many real-world data mining applications need varying cost for different types of classification errors and thus call for cost-sensitive classification algorithms. Existing algorithms for cost-sensitive classification are successful in…

Machine Learning · Computer Science 2017-10-27 Te-Kang Jan , Da-Wei Wang , Chi-Hung Lin , Hsuan-Tien Lin

The way that people make choices or exhibit preferences can be strongly affected by the set of available alternatives, often called the choice set. Furthermore, there are usually heterogeneous preferences, either at an individual level…

Computer Science and Game Theory · Computer Science 2020-08-04 Kiran Tomlinson , Austin R. Benson