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Decision trees have been widely used in machine learning. However, due to some reasons, data collecting in real world contains a fuzzy and uncertain form. The decision tree should be able to handle such fuzzy data. This paper presents a…

Artificial Intelligence · Computer Science 2014-08-14 Jooyeol Yun , Jun won Seo , Taeseon Yoon

We propose confining dualities of $\mathcal{N}=(0,2)$ half-BPS boundary conditions in 3d $\mathcal{N}=2$ supersymmetric $SU(N)$, $USp(2n)$ and $SO(N)$ gauge theories. Some of these dualities have the novel feature that one (anti)fundamental…

High Energy Physics - Theory · Physics 2023-08-21 Tadashi Okazaki , Douglas J. Smith

This paper mainly focuses on (1) a generalized treatment of fuzzy sets of type $n$, where $n$ is an integer larger than or equal to $1$, with an example, mathematical discussions, and real-life interpretation of the given mathematical…

Artificial Intelligence · Computer Science 2022-10-04 Anahita Jamshidnejad

A new approach to data stream clustering with the help of an ensemble of adaptive neuro-fuzzy systems is proposed. The proposed ensemble is formed with adaptive neuro-fuzzy self-organizing Kohonen maps in a parallel processing mode. A final…

Artificial Intelligence · Computer Science 2016-10-21 Zhengbing Hu , Yevgeniy V. Bodyanskiy , Oleksii K. Tyshchenko , Olena O. Boiko

This paper studies the solvability of the max-product fuzzy relation equations in which a negation operator is considered. Specifically, the residuated negation of the product t-norm has been introduced in these equations in order to…

General Mathematics · Mathematics 2024-10-11 M. Eugenia Cornejo , David Lobo , Jesús Medina

Bi-capacities arise as a natural generalization of capacities (or fuzzy measures) in a context of decision making where underlying scales are bipolar. They are able to capture a wide variety of decision behaviours, encompassing models such…

Discrete Mathematics · Computer Science 2007-11-15 Michel Grabisch , Christophe Labreuche

In this paper, we intend the concept of rough cubic Pythagorean fuzzy ideals in the semigroup. By using this notion, we discuss lower approximation and upper approximation of cubic Pythagorean fuzzy left (right) ideals, bi-ideals, interior…

General Mathematics · Mathematics 2023-02-06 V. Chinnadurai , A. Arulselvam

Gradual numbers have been introduced recently as a means of extending standard interval computation methods to fuzzy intervals. The literature treats monotonic functions of fuzzy intervals. In this paper, we combine the concepts of gradual…

Optimization and Control · Mathematics 2007-12-20 Elizabeth Untiedt , Weldon Lodwick

In practical situations, interval-valued fuzzy sets are frequently encountered. In this paper, firstly, we present shadowed sets for interpreting and understanding interval fuzzy sets. We also provide an analytic solution to computing the…

Artificial Intelligence · Computer Science 2014-12-23 Guangming Lang

Fuzzy Epistemic Logic is an important formalism for approximate reasoning. It extends the well known basic propositional logic BL, introduced by H\'ajek, by offering the ability to reason about possibility and necessity of fuzzy…

Logic · Mathematics 2018-05-01 Manuela Busaniche , Penélope Cordero , Ricardo O. Rodríguez

In this paper, we set up the bi-module of the algebra ${\cal A}$ on fuzzy sphere. Based on the differential operators in moving frame, we generalize the ABS construction into fuzzy sphere case. The applications of ABS construction are…

High Energy Physics - Theory · Physics 2009-11-07 Bo-yu Hou , Bo-yuan Hou , Rui-hong Yue

In this article, the concept of generalized fuzzy ideals in LA-semigroups. We introduced different types of generalized fuzzy ideals like bi-ideals, interior ideals and quasi ideals in LA-semigroups

Logic · Mathematics 2012-10-25 S. Abdullah , M. Atique Khan , M. Aslam

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

Current intent classification approaches assign binary intent class memberships to natural language utterances while disregarding the inherent vagueness in language and the corresponding vagueness in intent class boundaries. In this work,…

Computation and Language · Computer Science 2021-04-23 Geetanjali Bihani , Julia Taylor Rayz

We apply residuated structures associated with fuzzy logic to develop certain aspects of information processing in quantum computing from a logical perspective. For this purpose, we introduce an axiomatic system whose natural interpretation…

Quantum Physics · Physics 2007-05-23 Graciela Domenech , Hector Freytes

One of the weaknesses of classical (fuzzy) rough sets is their sensitivity to noise, which is particularly undesirable for machine learning applications. One approach to solve this issue is by making use of fuzzy quantifiers, as done by the…

Artificial Intelligence · Computer Science 2024-03-19 Adnan Theerens , Chris Cornelis

We introduce the fuzzy supersphere as sequence of finite-dimensional, noncommutative $Z_{2}$-graded algebras tending in a suitable limit to a dense subalgebra of the $Z_{2}$-graded algebra of ${\cal H}^{\infty}$-functions on the $(2|…

Mathematical Physics · Physics 2009-10-31 Harald Grosse , Gert Reiter

We define the Cartesian product, composition, union and join on interval-valued fuzzy graphs and investigate some of their properties. We also introduce the notion of interval-valued fuzzy complete graphs and present some properties of self…

Discrete Mathematics · Computer Science 2015-01-27 Muhammad Akram , Wieslaw A. Dudek

In this paper, we find an elementary approach for double sums where the inner sum is binomial but incomplete. We apply our core identity and its relatives to double sums involving famous numbers such as harmonic numbers, Fibonacci numbers,…

Combinatorics · Mathematics 2025-10-31 Kunle Adegoke , Robert Frontczak , Karol Gryszka

In this paper we present a surprisingly general extension of the main result of a paper that appeared in this journal: I. Montes et al., Sklar's theorem in an imprecise setting, Fuzzy Sets and Systems, 278 (2015), 48--66. The main tools we…

Probability · Mathematics 2023-08-28 Matjaž Omladič , Nik Stopar