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Fuzzy incidence graphs (FIG) model real world problems efficiently when there is an extra attribute of vertex-edge relationship. The article discusses the operations on Fuzzy incidence graphs. The join, Cartesian product, tensor product,…

Combinatorics · Mathematics 2022-10-26 Kavya. R. Nair , M. S. Sunitha

We diagonalize the transfer matrix of the inhomogeneous vertex models of the 6-vertex type in the anti-ferroelectric regime intoducing new types of q-vertex operators. The special cases of those models were used to diagonalize the s-d…

High Energy Physics - Theory · Physics 2009-10-28 Atsushi Nakayashiki

This paper studies the behaviour of iterates of weighted composition operators acting on spaces of analytic functions, with particular emphasis on the Hardy space $H^2$. Questions relating to uniform, strong and weak convergence are…

Functional Analysis · Mathematics 2020-02-11 I. Chalendar , J. R. Partington

The calculation of a large family of four point functions of general BPS operators in N=4 SYM is reduced to the evaluation of colour contractions. For 1/2 BPS operators O_\Delta the explicit results at order g^4 for the function < O_n O_2…

High Energy Physics - Theory · Physics 2015-06-26 Marco D'Alessandro , Luigi Genovese

Since Bustince et al. introduced the concepts of overlap and grouping functions, these two types of aggregation functions have attracted a lot of interest in both theory and applications. In this paper, the depiction of $(O,G)$-granular…

Artificial Intelligence · Computer Science 2022-05-19 Wei Li , Bin Yang , Junsheng Qiao

In this article, we first define the concept of ordered intervals, then introduce ordered fuzzy inner product and describe some of its properties.

General Mathematics · Mathematics 2025-12-30 Bayaz Daraby , Asghar Rahimi , Hasan Haddadzadeh

A bosonization scheme of the $q$-vertex operators of $\uqa$ for arbitrary level is obtained. They act as intertwiners among the highest weight modules constructed in a bosonic Fock space. An integral formula is proposed for $N$-point…

High Energy Physics - Theory · Physics 2009-10-22 Akishi Kato , Yas-Hiro Quano , Jun'ichi Shiraishi

In this paper, we propose a novel weighted combination feature selection method using bootstrap and fuzzy sets. The proposed method mainly consists of three processes, including fuzzy sets generation using bootstrap, weighted combination of…

Machine Learning · Computer Science 2020-05-22 Zixiao Shen , Xin Chen , Jonathan M. Garibaldi

The picture fuzzy set, characterized by three membership degrees, is a helpful tool for multi-criteria decision making (MCDM). This paper investigates the structure of the closed operational laws in the picture fuzzy numbers (PFNs) and…

Artificial Intelligence · Computer Science 2022-04-11 X. Wu , Z. Zhu , G. Çaylı , P. Liu , X. Zhang , Z. Yang

Real-world phenomena often exhibit vagueness, partial truth, and incomplete information. To model such uncertainty in a mathematically rigorous way, many generalized set-theoretic frameworks have been introduced, including Fuzzy Sets [1],…

Artificial Intelligence · Computer Science 2026-03-18 Takaaki Fujita , Florentin Smarandache

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…

In the first part, we obtain sharp results for L^2 boundedness of strongly singular operators on the Heisenberg group. We also define the oscillating convolution operators on the Heisenberg group and study their boundedness properties. In…

Functional Analysis · Mathematics 2013-09-10 Woocheol Choi

Atomic system in fuzzy Hilbert space is introduced and the existence of the fuzzy atomic systems for a strongly fuzzy bounded linear operator is studied. The notion of a K-frame in fuzzy Hilbert space is presented and some of their…

General Mathematics · Mathematics 2025-06-17 Prasenjit Ghosh , Jayanta Ghosh , T. K. Samanta

In the process of measuring objects with local self-similarity, such as satellite images or coastlines, we obtain a data set with both local self-similarity and uncertainty. To better interpolate such data sets, an interpolation function…

General Mathematics · Mathematics 2025-08-05 Hyang Choe , MiGyong Ri , CholHui Yun

The motivation behind mathematically modeling the human operator is to help explain the response characteristics of the complex dynamical system including the human manual controller. In this paper, we present two different fuzzy logic…

Biological Physics · Physics 2009-07-10 Tijana T. Ivancevic , Bojan Jovanovic , Sasa Markovic

The operator semirings of a $\Gamma$-semiring have been brought into use to study $\Gamma$-semiring in terms of fuzzy subsets. This is accomplished by obtaining various relationships between the set of all fuzzy ideals of a…

General Mathematics · Mathematics 2011-12-25 Sujit Kumar Sardar , Y. B. Jun , Sarbani Goswami

We study betweenness of membership functions in the fuzzy setting and for membership functions taking values in the set of hyperbolic numbers.

Logic · Mathematics 2023-06-06 Daniel Alpay , Liora Mayats-Alpay

This is an expository-survey on weak stability of bounded linear operators acting on normed spaces in general and, in particular, on Hilbert spaces. The paper gives a comprehensive account of the problem of weak operator stability,…

Functional Analysis · Mathematics 2024-08-09 C. S. Kubrusly

We prove sparse bounds for pseudodifferential operators associated to H\"ormander symbol classes. Our sparse bounds are sharp up to the endpoint and rely on a single scale analysis. As a consequence, we deduce a range of weighted estimates…

Classical Analysis and ODEs · Mathematics 2018-03-23 David Beltran , Laura Cladek

Concepts of graph theory have applications in many areas of computer science including data mining, image segmentation, clustering, image capturing, networks, etc . An interval-valued fuzzy set is a generalization of the notion of a fuzzy…

Discrete Mathematics · Computer Science 2014-01-07 Hossein Rashmanlou , Madhumangal Pal
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