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A complex fuzzy Lie algebra is a fuzzy Lie algebra whose membership function takes values in the unit circle in the complex plane. In this paper, we deine the complex fuzzy Lie subalgebras and complex fuzzy ideals of Lie algebras. Then, we…

Rings and Algebras · Mathematics 2019-05-07 Shadi Shaqaqha

In this paper, a review on dielectric mixtures and the importance of the numerical simulations of dielectric mixtures are presented. It stresses on the interfacial polarization observed in mixtures. It is shown that this polarization can…

Materials Science · Physics 2016-11-18 Enis Tuncer , Yuriy V. Serdyuk , Stanislaw M. Gubanski

A complex intuitionistic fuzzy Lie superalgebra is a generalization of intuitionistic fuzzy Lie superalgebra whose membership function takes values in the unit disk in the complex plane. In this research, the concepts of complex…

General Mathematics · Mathematics 2022-09-22 Ameer Jaber

Molodtsov \cite{molodtsov-1999} proposed the concept of soft set theory in 1999, which can be used as a mathematical tool for dealing with problems that contain uncertainty. Sabir and Naz \cite{shabir-2013} defined notion of bipolar soft…

General Mathematics · Mathematics 2016-01-21 Faruk Karaaslan , Serkan Karataş

Chordal graphs and chordal bigraphs enjoy beautiful characterizations, in terms of forbidden subgraphs, vertex/edge orderings, vertex/edge separating sets, and tree-like representations. In this paper, we introduce chordal signed graphs and…

Combinatorics · Mathematics 2026-01-09 Jing Huang , Ying Ying Ye

In this note we give a combinatorial characterization of all the unmixed bipartite graphs.

Combinatorics · Mathematics 2011-04-05 Rafael H. Villarreal

Fractional (hyper-)graph theory is concerned with the specific problems that arise when fractional analogues of otherwise integer-valued (hyper-)graph invariants are considered. The focus of this paper is on fractional edge covers of…

Discrete Mathematics · Computer Science 2023-09-25 Georg Gottlob , Matthias Lanzinger , Reinhard Pichler , Igor Razgon

In this paper we examine the existence of bicomplexified inverse Fourier transform as an extension of its complexified inverse version within the region of convergence of bicomplex Fourier transform. In this paper we use the idempotent…

Complex Variables · Mathematics 2015-11-05 A. Banerjee , S. K. Datta , Md. A. Hoque

We present a thermodynamic description of ultracold gases with dipolar interactions which properly accounts for the long-range nature and broken rotation invariance of the interactions. It involves an additional thermodynamic field…

Quantum Gases · Physics 2025-07-16 Wilhelm Zwerger

In this article, working in the spirit of the classical Arrovian models in the fuzzy setting and their possible extensions, we go deeper into the study of some type of decompositions defined by t-norms and t-conorms. This allows us to…

General Mathematics · Mathematics 2025-12-01 María Jesús Campión , Esteban Induráin , Armajac Raventós-Pujol

Let A be a closed polar subset of a domain D in the complex plane C. We give a complete description of the pluripolar hull in D X C of the graph of a holomorphic function defined on D A. To achieve this, we prove for pluriharmonic measure…

Complex Variables · Mathematics 2007-05-23 Armen Edigarian , Jan Wiegerinck

We consider several examples when the extension graph admits a bipartition compatible with the action of Duflo--Serganova functors.

Representation Theory · Mathematics 2022-11-23 Maria Gorelik

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

In the subjective Bayesian approach uncertainty is described by a prior distribution chosen by the statistician. Fuzzy set theory is another way of representing uncertainty. Here we give a decision theoretic approach which allows a Bayesian…

Statistics Theory · Mathematics 2008-12-18 Glen Meeden

Various types of fuzzy anti-continuity and fuzzy anti-boundedness are defined. A few properties of them are established. The intra and inter relation among various types of fuzzy anti-continuity and fuzzy anti-boundedness are studied.

General Mathematics · Mathematics 2010-02-22 Bivas Dinda , T. K. Samanta , Iqbal H. Jebril

In this paper, we have tried to apply the concepts of fuzzy sets to Lie groups and its relative concepts. First, we define a ${\cal C}^1$ fuzzy submanifold after reviewing ${\cal C}^1-$fuzzy manifold definition. In main section, we defined…

Differential Geometry · Mathematics 2010-10-05 M. Nadjafikhah , R. Bakhshandeh-Chamazkoti

This is a survey article for "Handbook of Linear Algebra", 2nd ed., Chapman & Hall/CRC, 2014. An informal introduction to representations of quivers and finite dimensional algebras from a linear algebraist's point of view is given. The…

Representation Theory · Mathematics 2013-12-31 Roger A. Horn , Vladimir V. Sergeichuk

Thin structured surfaces allow flexible control over propagation of electromagnetic waves. Focusing and polarization state analysis are among functions, required for effective manipulation of radiation. Here a polarization sensitive Fresnel…

Optics · Physics 2018-05-23 Hen Markovich , Dmitrii Filonov , Ivan Shishkin , Pavel Ginzburg

Soft set theory serves as a mathematical framework for handling uncertain information, and hesitant fuzzy sets find extensive application in scenarios involving uncertainty and hesitation. Hesitant fuzzy sets exhibit diverse membership…

Machine Learning · Computer Science 2024-03-11 Shizhan Lu

Biregular bipartite graphs have been proven to have similar edge distributions to random bipartite graphs and thus have nice pseudorandomness and expansion properties. Thus it is quite desirable to find a biregular bipartite spanning…

Combinatorics · Mathematics 2024-10-29 Dandan Fan , Xiaofeng Gu , Huiqiu Lin
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