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We construct rings of typed ordered fuzzy numbers whose component functions are of a common form. As this ring also contains improper fuzzy numbers (OFNs whose membership "functions" are actually just relations), we develop a set of…

General Mathematics · Mathematics 2020-10-22 Matthew Kukla , Rachel Traylor

An architecture of a new neuro-fuzzy system is proposed. The basic idea of this approach is to tune both synaptic weights and membership functions with the help of the supervised learning and self-learning paradigms. The approach to solving…

Artificial Intelligence · Computer Science 2016-10-21 Yevgeniy V. Bodyanskiy , Oleksii K. Tyshchenko , Anastasiia O. Deineko

A new class of fuzzy closed sets, namely fuzzy weakly closed set in a fuzzy topological space is introduced and it is established that this class of fuzzy closed sets lies between fuzzy closed sets and fuzzy generalized closed sets.…

General Mathematics · Mathematics 2015-06-11 J. Mahanta , P. K. Das

Fuzzy quantification is a subtopic of fuzzy logic which deals with the modelling of the quantified expressions we can find in natural language. Fuzzy quantifiers have been successfully applied in several fields like fuzzy, control, fuzzy…

Artificial Intelligence · Computer Science 2018-07-20 F. Díaz-Hermida , Juan. C. Vidal

Given a nonempty set $X$ and a function $f:X \rightarrow X$, three fuzzy topological spaces are introduced. Some properties of these spaces and relation among them are studied and discussed.

General Mathematics · Mathematics 2017-02-07 Ismael Akray

We introduce the concept of indexed identity, where the usual notion of identity is a particular case. Our mathematical framework allows us a generalized method for `indexing' predicates, which corresponds to `fuzzification' of properties,…

Logic · Mathematics 2007-05-23 Adonai S. Sant'Anna

We present a fuzzy version of description logics with concrete domains. Main features are: (i) concept constructors are based on t-norm, t-conorm, negation and implication; (ii) concrete domains are fuzzy sets; (iii) fuzzy modifiers are…

Artificial Intelligence · Computer Science 2012-07-09 Umberto Straccia

As part of human core knowledge, the representation of objects is the building block of mental representation that supports high-level concepts and symbolic reasoning. While humans develop the ability of perceiving objects situated in 3D…

Computer Vision and Pattern Recognition · Computer Science 2024-03-07 John Day , Tushar Arora , Jirui Liu , Li Erran Li , Ming Bo Cai

In this work, we first define intuitionistic fuzzy parametrized soft sets (intuitionistic FP-soft sets) and study some of their properties. We then introduce an adjustable approaches to intuitionistic FP-soft sets based decision making. We…

Logic · Mathematics 2015-02-24 İrfan Deli , Naim Çağman

This chapter provides an overview of the different techniques and methods that exist for the analysis and visualization of dynamic networks. Basic definitions and formal notations are discussed and important references are cited. A major…

Social and Information Networks · Computer Science 2014-09-18 Faraz Zaidi , Chris Muelder , Arnaud Sallaberry

A fuzzy mnesor space is a semimodule over the positive real numbers. It can be used as theoretical framework for fuzzy sets. Hence we can prove a great number of properties for fuzzy sets without refering to the membership functions.

Artificial Intelligence · Computer Science 2009-05-05 Gilles Champenois

This paper contains the consideration of knowledge extraction mechanisms of such object-oriented knowledge representation models as frames, object-oriented programming and object-oriented dynamic networks. In addition, conception of…

Artificial Intelligence · Computer Science 2015-12-22 Dmytro Terletskyi

In this paper we provide a general setting to deal with level continuous fuzzy-valued functions. Namely, we embed such functions into a product of spaces of real-valued functions of two variables satisfying certain types of left-continuity,…

General Mathematics · Mathematics 2026-03-31 J. J. Font , S. Macario , M. Sanchis

If a robot is supposed to roam an environment and interact with objects, it is often necessary to know all possible objects in advance, so that a database with models of all objects can be generated for visual identification. However, this…

Artificial Intelligence · Computer Science 2015-10-05 Laura Steinert , Jens Hoefinghoff , Josef Pauli

A class of models intended to be as minimal and structureless as possible is introduced. Even in cases with simple rules, rich and complex behavior is found to emerge, and striking correspondences to some important core known features of…

Discrete Mathematics · Computer Science 2020-10-07 Stephen Wolfram

Appearance of physical properties of objects is a basic for their detection in a media. Fugacity is a physical property of objects. Definition of estimations fugacity for different objects can be executed on model which principle of…

Computational Physics · Physics 2007-05-23 Leonid Makarov , Peter Komarov

Dialectica categories are a very versatile categorical model of linear logic. These have been used to model many seemingly different things (e.g., Petri nets and Lambek's calculus). In this note, we expand our previous work on fuzzy petri…

Logic in Computer Science · Computer Science 2011-07-14 Apostolos Syropoulos , Valeria de Paiva

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

We briefly review the connection between the fuzzy field theories and matrix models and describe the main features of the models that appear. We summarize the different approaches to their analysis, some of the recent results and the…

High Energy Physics - Theory · Physics 2018-02-15 Mária Šubjaková , Juraj Tekel

Image segmentation is the initial step for every image analysis task. A large variety of segmentation algorithm has been proposed in the literature during several decades with some mixed success. Among them, the fuzzy energy based active…

Computer Vision and Pattern Recognition · Computer Science 2020-08-04 Ajoy Mondal , Kuntal Ghosh