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An orthogonal approach to the fuzzification of both multisets and hybrid sets is presented. In particular, we introduce L-multi-fuzzy and L-fuzzy hybrid sets, which are general enough and in spirit with the basic concepts of fuzzy set…

Logic in Computer Science · Computer Science 2012-08-14 Apostolos Syropoulos

Reliable corner detection is an important task in determining the shape of different regions within an image. Real-life image data are always imprecise due to inherent uncertainties that may arise from the imaging process such as…

Computer Vision and Pattern Recognition · Computer Science 2014-05-22 Erik Cuevas , Daniel Zaldivar , Marco Perez , Edgar Sanchez , Marte Ramirez

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

Modeling relations between components of 3D objects is essential for many geometry editing tasks. Existing techniques commonly rely on labeled components, which requires substantial annotation effort and limits components to a dictionary of…

Graphics · Computer Science 2018-07-05 Minhyuk Sung , Anastasia Dubrovina , Vladimir G. Kim , Leonidas Guibas

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a high-dimensional space and concepts are represented by convex regions in this space. After…

Artificial Intelligence · Computer Science 2017-09-22 Lucas Bechberger , Kai-Uwe Kühnberger

The approach described here allows to use the fuzzy Object Based Representation of imprecise and uncertain knowledge. This representation has a great practical interest due to the possibility to realize reasoning on classification with a…

Artificial Intelligence · Computer Science 2012-06-13 Mohamed Nazih Omri

In this paper, we present the concept of relations in intuitionistic fuzzy soft set and study some of their properties and also discuss symmetric, transitive and reflexive intuitionistic fuzzy soft relations.

General Mathematics · Mathematics 2012-02-22 Bivas Dinda , T. K. Samanta

Rule mining algorithms are one of the fundamental techniques in data mining for disclosing significant patterns in terms of linguistic rules expressed in natural language. In this paper, we revisit the concept of fuzzy implicative rule to…

Logic in Computer Science · Computer Science 2025-10-07 Raquel Fernandez-Peralta

This study leverages the data representation capability of fuzzy based membership-mappings for practical secure distributed deep learning using fully homomorphic encryption. The impracticality issue of secure machine (deep) learning with…

Machine Learning · Computer Science 2022-04-13 Mohit Kumar , Weiping Zhang , Lukas Fischer , Bernhard Freudenthaler

This paper describes application of information granulation theory, on the design of rock engineering flowcharts. Firstly, an overall flowchart, based on information granulation theory has been highlighted. Information granulation theory,…

Artificial Intelligence · Computer Science 2014-07-29 H. Owladeghaffari

A model to represent spatial information is presented in this paper. It is based on fuzzy constraints represented as fuzzy geometric relations that can be hierarchically structured. The concept of spatial template is introduced to capture…

Artificial Intelligence · Computer Science 2013-02-28 Stephane Lapointe , Rene Proulx

In this article we investigate a way in which quantum computing can be used to extend the class of fuzzy sets. The core idea is to see states of a quantum register as characteristic functions of quantum fuzzy subsets of a given set. As the…

Logic in Computer Science · Computer Science 2007-05-23 Mirco A. Mannucci

Modelling of complex systems is mainly based on the decomposition of these systems in autonomous elements, and the identification and definitio9n of possible interactions between these elements. For this, the agent-based approach is a…

Artificial Intelligence · Computer Science 2013-02-27 Alain-Jérôme Fougères

We explore the implications of using fuzzy techniques (mainly those commonly used in the linguistic description/summarization of data discipline) from a natural language generation perspective. For this, we provide an extensive discussion…

Artificial Intelligence · Computer Science 2016-05-18 A. Ramos-Soto , A. Bugarín , S. Barro

In this paper, the definition of fuzzy rough relation on a set will be introduced and then it would be proved that the collection of such relations is closed under different binary compositions such as, algebraic sum, algebraic product etc.…

General Mathematics · Mathematics 2011-09-09 T. K. Samanta , Biswajit Sarkar

The concepts of fuzzy objects and their classes are described that make it possible to structurally represent knowledge about fuzzy and partially-defined objects and their classes. Operations over such objects and classes are also proposed…

Artificial Intelligence · Computer Science 2016-02-17 D. A. Terletskyi , A. I. Provotar

Many automatically analyzable scientific questions are well-posed and offer a variety of information about the expected outcome a priori. Although often being neglected, this prior knowledge can be systematically exploited to make automated…

Computer Vision and Pattern Recognition · Computer Science 2018-02-07 Johannes Stegmaier , Ralf Mikut

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

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a similarity space and concepts are represented by convex regions in this space. After pointing…

Artificial Intelligence · Computer Science 2019-07-02 Lucas Bechberger , Kai-Uwe Kühnberger

On the basis of network analysis, and within the context of modeling imprecision or vague information with fuzzy sets, we propose an innovative way to analyze, aggregate and apply this uncertain knowledge into community detection of…

Statistics Theory · Mathematics 2024-02-08 Inmaculada Gutiérrez , Daniel Gómez , Javier Castro , Rosa Espínola