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In this paper some fundamental relationships of a gamma semigroup and its operator semigroups in terms of intuitionistic fuzzy subsets, intuitionistic fuzzy ideals, intuitionistic fuzzy prime(semiprime) ideals, intuitionistic fuzzy ideal…

General Mathematics · Mathematics 2011-02-02 Sujit Kumar Sardar , Samit Kumar Majumder , Manasi Mandal

In this paper we introduce and study several new Hilbert-type operators acting between the weighted Fock spaces. We provide some sufficient and necessary conditions for the boundedness and compactness of certain Hilbert-type operators from…

Functional Analysis · Mathematics 2022-10-04 Jianjun Jin , Shuan Tang , Xiaogao Feng

Especially in research areas of computer science such as data mining, image segmentation, clustering image capturing and networking. The interval-valued fuzzy graphs are more flexible and compatible than fuzzy graphs due to the fact that…

Discrete Mathematics · Computer Science 2014-05-26 Hossein Rashmanlou , Madhumangal Pal

This paper discusses a class of uncertain optimization problems, in which unknown parameters are modeled by fuzzy intervals. The membership functions of the fuzzy intervals are interpreted as possibility distributions for the values of the…

Data Structures and Algorithms · Computer Science 2020-09-15 Adam Kasperski , Pawel Zielinski

In this paper, three topics in bipolar fuzzy soft hypervector spaces are investigated. At first, four equivalent conditions to definition of a bipolar fuzzy soft hypervector space are presented, from different point of views. Then some new…

General Mathematics · Mathematics 2023-10-12 O. R. Dehghan

In this paper, concept of fuzzy continuous operator, fuzzy bounded linear operator are introduced in fuzzy strong $\phi$-b-normed linear spaces and their relations are studied. Idea of operator fuzzy norm is developed and completeness of…

General Mathematics · Mathematics 2023-02-22 Abhishikta Das , T. Bag

Fuzzy rough set theory can be used as a tool for dealing with inconsistent data when there is a gradual notion of indiscernibility between objects. It does this by providing lower and upper approximations of concepts. In classical fuzzy…

Machine Learning · Computer Science 2024-03-19 Adnan Theerens , Oliver Urs Lenz , Chris Cornelis

In nature, there are many phenomena with both irregularity and uncertainty. Therefore, a fuzzy-valued fractal interpolation is more useful for modeling them than fuzzy interpolation or fractal interpolation. We construct fractal…

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

Bosonized q-vertex operators related to the 4-dimensional evaluation modules of the quantum affine superalgebra $U_q[\hat{sl(2|1)}]$ are constructed for arbitrary level $k=\alpha$, where $\alpha\neq 0, -1$ is a complex parameter appearing…

Quantum Algebra · Mathematics 2016-09-07 Yao-Zhong Zhang , Mark D. Gould

The purpose of this paper is to introduce different types of operations on fuzzy ideals of $\Gamma$-semirings and to prove subsequently that these oprations give rise to different structures such as complete lattice, modular lattice on some…

General Mathematics · Mathematics 2011-12-25 T. K. Dutta , Sujit Kumar Sardar , Sarbani Goswami

The Wilson-Fisher criticality provides a paradigm for a large class of phase transitions in nature (e.g., helium, ferromagnets). In the three dimension, Wilson-Fisher critical points are not exactly solvable due to the strongly-correlated…

Strongly Correlated Electrons · Physics 2023-12-08 Chao Han , Liangdong Hu , W. Zhu

Formally symmetric differential operators on weighted Hardy-Hilbert spaces are analyzed, along with adjoint pairs of differential operators. Eigenvalue problems for such operators are rather special, but include many of the classical…

Classical Analysis and ODEs · Mathematics 2019-01-23 Robert Carlson

We introduce the concept of optical coherence squeezing in double-slit interference. We construct Hermitian operators that characterize the coherence at the slits, leading to coherence uncertainty relations and a corresponding squeezing…

Quantum Physics · Physics 2026-02-27 Martti Hanhisalo , Atri Halder , Tero Setälä , Andreas Norrman

Intuitionistic fuzzy Banach algebra is introduced and a few properties of it is studied. The properties of invertible elements and relation among invertible elements, open set, closed set are emphasized. Topological divisors of zero is…

General Mathematics · Mathematics 2010-09-20 Bivas Dinda , T. K. Samanta , U. K. Bera

Our aim in this paper is to introduce the relatively new concept of *-density of a fuzzy graph and *-balanced fuzzy graph. Several examples and results are also provided. In addition, many operations on fuzzy graphs that preserves…

Combinatorics · Mathematics 2018-04-25 Talal Al-Hawary , Laith AlMomani

In this work, we first define relations on the fuzzy parametrized soft sets and study their properties. We also give a decision making method based on these relations. In approximate reasoning, relations on the fuzzy parametrized soft sets…

Logic · Mathematics 2016-02-12 Irfan Deli , Naim Çağman

In this paper we introduce and study a class of structured set-valued operators which we call union averaged nonexpansive. At each point in their domain, the value of such an operator can be expressed as a finite union of single-valued…

Optimization and Control · Mathematics 2020-04-06 Minh N. Dao , Matthew K. Tam

The fuzzy ROC extends Receiver Operating Curve (ROC) visualization to the situation where some data points, falling in an indeterminacy region, are not classified. It addresses two challenges: definition of sensitivity and specificity…

Other Statistics · Statistics 2019-03-06 Giovanni Parmigiani

Emulsions are ubiquitous in everyday life and find applications in various industries. Optical tweezers (OTs) have emerged as the preferred method for studying emulsion dynamics. In this review, we first introduce the theory of optical…

Vulnerabilities in open-source operating systems (OSs) pose substantial security risks to software systems, making their detection crucial. While fuzzing has been an effective vulnerability detection technique in various domains, OS fuzzing…

Operating Systems · Computer Science 2026-01-21 Kun Hu , Qicai Chen , Wenzhuo Zhang , Zilong Lu , Bihuan Chen , You Lu , Haowen Jiang , Bingkun Sun , Xin Peng , Wenyun Zhao