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WordNet lexical-database groups English words into sets of synonyms called "synsets." Synsets are utilized for several applications in the field of text-mining. However, they were also open to criticism because although, in reality, not all…

This paper primarily presents two methods of ranking aggregated fuzzy numbers from intervals using the Interval Agreement Approach (IAA). The two proposed ranking methods within this study contain the combination and application of…

Artificial Intelligence · Computer Science 2020-12-07 Justin Kane Gunn , Hadi Akbarzadeh Khorshidi , Uwe Aickelin

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

In our work, we continue to explore the properties of interval-valued fuzzy soft sets, which are obtained by combining interval-valued fuzzy sets and soft sets. We introduce the concept of energy of an interval-valued fuzzy soft set, as…

Artificial Intelligence · Computer Science 2024-05-28 Ljubica Djurović , Maja Laković , Nenad Stojanović

Fuzzy implication functions are a key area of study in fuzzy logic, extending the classical logical conditional to handle truth degrees in the interval $[0,1]$. While existing literature often focuses on a limited number of families, in the…

Artificial Intelligence · Computer Science 2025-03-11 Raquel Fernandez-Peralta

In this paper, we first study the arithmetic properties of intuitionistic fuzzy number, the monotonicity of intuitionistic fuzzy function and the derivative of intuitionistic fuzzy functions and then we study the fundamental properties on…

General Mathematics · Mathematics 2023-12-18 Efendi , Admi Nazra , Haripamyu , Mahdhivan Syafwan

The topic of $m$-magic labeling is discussed in this article. The application of these problem is applied to path anti fuzzy and path anti fuzzy bipolar. Anti fuzzy and anti fuzzy bipolar graphs are new concepts of fuzzy graphs. This…

General Mathematics · Mathematics 2023-10-04 Yeni Rahma Oktaviani , Toto Nusantara , Santi Irawati

The measure of distance between two fuzzy sets is a fundamental tool within fuzzy set theory, however, distance measures currently within the literature use a crisp value to represent the distance between fuzzy sets. A real valued distance…

Artificial Intelligence · Computer Science 2014-09-04 Josie C. McCullochy , Chris J. Hinde , Christian Wagner , Uwe Aickelin

In recent years, the modeling and analysis of interval-valued time series have garnered significant attention in the fields of econometrics and statistics. However, the existing literature primarily focuses on regression tasks while…

Machine Learning · Statistics 2025-04-07 Wan Tian , Zhongfeng Qin

Graphs serve as efficient tools for visualizing mathematical concepts and their interrelationships. In this paper, focusing on the discrete case with universal set with finite elements, we first introduce the rules and characteristics of…

General Mathematics · Mathematics 2023-10-12 Jian-Zhang Wu , Gleb Beliakov

A few of the algebraic and topological properties of int. fuzzy continuity and int. fuzzy uniform continuity are investigated. Also, the concept of int. fuzzy uniform convergence is introduced thereafter a few result on int. fuzzy uniform…

General Mathematics · Mathematics 2009-11-10 Bivas Dinda , T. K. Samanta

To deal with uncertainty in reasoning, interval-valued logic has been developed. But uniform intervals cannot capture the difference in degrees of belief for different values in the interval. To salvage the problem triangular and…

Artificial Intelligence · Computer Science 2020-01-08 Sandip Paul , Kumar Sankar Ray , Diganta Saha

Laplacian mixture models identify overlapping regions of influence in unlabeled graph and network data in a scalable and computationally efficient way, yielding useful low-dimensional representations. By combining Laplacian eigenspace and…

Machine Learning · Statistics 2018-10-03 Daniel Korenblum

The basic aim of our study is to give a possible model for handling uncertain information. This model is worked out in the framework of DATALOG. At first the concept of fuzzy Datalog will be summarized, then its extensions for…

Artificial Intelligence · Computer Science 2010-04-08 Agnes Achs

In this paper, the notion of the interval valued neutrosophic soft sets ($ivn-$soft sets) is defined which is a combination of an interval valued neutrosophic sets \cite{wan-05} and a soft sets \cite{mol-99}. Our $ivn-$soft sets generalizes…

General Mathematics · Mathematics 2016-02-12 Irfan Deli

Statistical depth functions order the elements of a space with respect to their centrality in a probability distribution or dataset. Since many depth functions are maximized in the real line by the median, they provide a natural approach to…

Statistics Theory · Mathematics 2025-05-26 Luis González-De La Fuente , Alicia Nieto-Reyes , Pedro Terán

We initiate the study of a new parameterization of graph problems. In a multiple interval representation of a graph, each vertex is associated to at least one interval of the real line, with an edge between two vertices if and only if an…

Data Structures and Algorithms · Computer Science 2011-12-19 Fedor V. Fomin , Serge Gaspers , Petr Golovach , Karol Suchan , Stefan Szeider , Erik Jan van Leeuwen , Martin Vatshelle , Yngve Villanger

The enormous amount of data to be represented using large graphs exceeds in some cases the resources of a conventional computer. Edges in particular can take up a considerable amount of memory as compared to the number of nodes. However,…

Artificial Intelligence · Computer Science 2023-12-18 Faisal N. Abu-Khzam , Rana H. Mouawi , Amer Hajj Ahmad , Sergio Thoumi

In this paper, we propose a new type of graph, denoted as "embedded-graph", and its theory, which employs a distributed representation to describe the relations on the graph edges. Embedded-graphs can express linguistic and complicated…

Discrete Mathematics · Computer Science 2017-09-15 Atsushi Yokoyama

Interval graphs and interval orders are deeply linked. In fact, edges of an interval graphs represent the incomparability relation of an interval order, and in general, of different interval orders. The question about the conditions under…

Combinatorics · Mathematics 2023-01-03 Marta Fiori-Carones , Alberto Marcone