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Symmetry, Volume 15, Issue 8

2023 August - 147 articles

Cover Story: The Standard Model (SM) of particle physics—augmented by weak-scale supersymmetry—is a highly motivated extension of the SM, which also predicts additional Higgs bosons that carry electric charge. Such new charged Higgs matter states can be produced at high rates at the CERN Large Hadron Collider, and they would then decay into both SM and new SUSY particle final states. Here, we present their production cross sections, decay rates and prospects for discovery or exclusion at the future high luminosity LHC experiments in the well-motivated case of natural SUSY models, which are thought to emerge from the string theory landscape of vacua. View this paper
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Articles (147)

  • Article
  • Open Access
4 Citations
3,766 Views
15 Pages

Graph Embedding with Similarity Metric Learning

  • Tao Tao,
  • Qianqian Wang,
  • Yue Ruan,
  • Xue Li and
  • Xiujun Wang

21 August 2023

Graph embedding transforms high-dimensional graphs into a lower-dimensional vector space while preserving their structural information and properties. Context-sensitive graph embedding, in particular, performs well in tasks such as link prediction an...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
1 Citations
2,166 Views
20 Pages

Novel Approach to Multi-Criteria Decision-Making Based on the n,mPR-Fuzzy Weighted Power Average Operator

  • Tareq Hamadneh,
  • Hariwan Z. Ibrahim,
  • Mayada Abualhomos,
  • Maha Mohammed Saeed,
  • Gharib Gharib,
  • Maha Al Soudi and
  • Abdallah Al-Husban

21 August 2023

A significant addition to fuzzy set theory for expressing uncertain data is an n,m-th power root fuzzy set. Compared to the nth power root, Fermatean, Pythagorean, and intuitionistic fuzzy sets, n,m-th power root fuzzy sets can cover more uncertain s...

(This article belongs to the Special Issue Fuzzy Set Theory and Uncertainty Theory—Volume II)
  • Article
  • Open Access
12 Citations
1,932 Views
13 Pages

On the Solitary Waves and Nonlinear Oscillations to the Fractional Schrödinger–KdV Equation in the Framework of the Caputo Operator

  • Saima Noor,
  • Badriah M. Alotaibi,
  • Rasool Shah,
  • Sherif M. E. Ismaeel and
  • Samir A. El-Tantawy

21 August 2023

The fractional Schrödinger–Korteweg-de Vries (S-KdV) equation is an important mathematical model that incorporates the nonlinear dynamics of the KdV equation with the quantum mechanical effects described by the Schrödinger equation. M...

(This article belongs to the Special Issue Nonlinear Differential and Integral Equations and Their Infinite Systems)
  • Article
  • Open Access
16 Citations
2,036 Views
22 Pages

A Free Convective Two-Phase Flow of Optically Thick Radiative Ternary Hybrid Nanofluid in an Inclined Symmetrical Channel through a Porous Medium

  • K. M. Pavithra,
  • Pudhari Srilatha,
  • B. N. Hanumagowda,
  • S. V. K. Varma,
  • Amit Verma,
  • Shalan Alkarni and
  • Nehad Ali Shah

21 August 2023

In the present article, we investigate the free convective flow of a ternary hybrid nanofluid in a two-phase inclined channel saturated with a porous medium. The flow has been propelled using the pressure gradient, thermal radiation, and buoyancy for...

(This article belongs to the Section F: Engineering and Materials)
  • Article
  • Open Access
3 Citations
2,141 Views
16 Pages

21 August 2023

A relativistic motor exchanging momentum and energy with an electromagnetic field is studied. We discuss the advantages and challenges of this novel mover, giving specific emphasis to the more favorable (yet challenging) nano configurations. It speci...

(This article belongs to the Section C: Physics)
  • Article
  • Open Access
1,978 Views
11 Pages

Saturated Varieties of Semigroups

  • Muneer Nabi,
  • Amal S. Alali and
  • Sakeena Bano

21 August 2023

The complete characterization of saturated varieties of semigroups remains an unsolved problem. The primary objective of this paper is to make significant progress in this direction. We initially demonstrate that the variety of semigroups defined by...

(This article belongs to the Special Issue Symmetry in Algebra and Its Applications)
  • Article
  • Open Access
4 Citations
1,955 Views
10 Pages

Symmetries of the Energy–Momentum Tensor for Static Plane Symmetric Spacetimes

  • Fawad Khan,
  • Wajid Ullah,
  • Tahir Hussain and
  • Wojciech Sumelka

21 August 2023

This article explores matter collineations (MCs) of static plane-symmetric spacetimes, considering the stress–energy tensor in its contravariant and mixed forms. We solve the MC equations in two cases: when the energy–momentum tensor is n...

(This article belongs to the Special Issue Symmetries of Difference Equations, Special Functions and Orthogonal Polynomials II)
  • Article
  • Open Access
5 Citations
1,908 Views
11 Pages

21 August 2023

Analytical modeling presents symmetries and aesthetic-mathematical characteristics which are not catchable in numerical computation for science and technology; nanoscience plays a significant role in unification attempts, considering also models incl...

(This article belongs to the Section C: Physics)
  • Article
  • Open Access
4 Citations
1,801 Views
22 Pages

20 August 2023

Artificial neural networks (ANNs) are used to solve many problems, such as modeling, identification, prediction, and classification. The success of ANN is directly related to the training process. Meta-heuristic algorithms are used extensively for AN...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
1,875 Views
11 Pages

20 August 2023

In this paper, we take physical and health integration as the entry point. Firstly, based on the transformation mechanism of adolescent idiopathic scoliosis we construct a time delay differential model. Moreover, using the theory of characteristic eq...

(This article belongs to the Special Issue Mathematical Modeling in Biology and Life Sciences)
  • Article
  • Open Access
10 Citations
2,545 Views
18 Pages

20 August 2023

In this paper, a more flexible extension of the Fréchet distribution is introduced. The new distribution is defined by means of the stochastic representation as the quotient of two independent random variables, a Fréchet distribution an...

(This article belongs to the Special Issue Symmetry in Probability Theory and Statistics)
  • Article
  • Open Access
4 Citations
2,532 Views
19 Pages

An Improved Two-Stage Spherical Harmonic ESPRIT-Type Algorithm

  • Haocheng Zhou,
  • Zhenghong Liu,
  • Liyan Luo,
  • Mei Wang and
  • Xiyu Song

19 August 2023

Sensor arrays are gradually becoming a current research hotspot due to their flexible beam control, high signal gain, robustness against extreme interference, and high spatial resolution. Among them, spherical microphone arrays with complex rotationa...

(This article belongs to the Special Issue Symmetry/Asymmetry in Speech and Audio Processing: Topics, Challenges and Advances)
  • Article
  • Open Access
25 Citations
2,907 Views
23 Pages

Symmetry Analyses of Epidemiological Model for Monkeypox Virus with Atangana–Baleanu Fractional Derivative

  • Tharmalingam Gunasekar,
  • Shanmugam Manikandan,
  • Vediyappan Govindan,
  • Piriadarshani D,
  • Junaid Ahmad,
  • Walid Emam and
  • Isra Al-Shbeil

19 August 2023

The monkeypox virus causes a respiratory illness called monkeypox, which belongs to the Poxviridae virus family and the Orthopoxvirus genus. Although initially endemic in Africa, it has recently become a global threat with cases worldwide. Using the...

(This article belongs to the Special Issue Symmetry Applied in Fractional Dynamics, Fractional Calculus and Inequalities)
  • Article
  • Open Access
3 Citations
1,493 Views
13 Pages

19 August 2023

Our paper explores warped product pointwise semi-slant submanifolds with a semi-symmetric metric connection in an odd-dimensional sphere and uncovers fundamental results. We also demonstrate how our findings can be applied to the homology of these su...

(This article belongs to the Special Issue Symmetry and Its Application in Differential Geometry and Topology, 2nd Edition)
  • Article
  • Open Access
6 Citations
1,839 Views
7 Pages

19 August 2023

Let Ss*(ez) denote the class of starlike functions with respect to symmetric points subordinate to the exponential function, i.e., the functions which satisfy in the unit disk U the condition 2zf(z)f(z)f(z)ez(zU). We...

  • Review
  • Open Access
2 Citations
3,494 Views
11 Pages

Antihydrogen and Hydrogen: Search for the Difference

  • Ksenia Khabarova,
  • Artem Golovizin and
  • Nikolay Kolachevsky

18 August 2023

Our universe consists mainly of regular matter, while the amount of antimatter seems to be negligible. The origin of this difference, known as the baryon asymmetry, remains undiscovered. Since the discovery of antimatter, many experiments have been c...

(This article belongs to the Section C: Physics)
  • Article
  • Open Access
5 Citations
1,736 Views
20 Pages

18 August 2023

In this paper, new Fejér-type inequalities for harmonically convex functions are obtained. Some mappings related to the Fejér-type inequalities for harmonically convex are defined. Properties of these mappings are discussed and, as a co...

(This article belongs to the Special Issue Symmetry in Fractional Calculus: Advances and Applications)
  • Article
  • Open Access
44 Citations
4,201 Views
21 Pages

Analysis of Heat Transfer Behavior of Porous Wavy Fin with Radiation and Convection by Using a Machine Learning Technique

  • Chandan Kumar,
  • P. Nimmy,
  • Kallur Venkat Nagaraja,
  • R. S. Varun Kumar,
  • Amit Verma,
  • Shalan Alkarni and
  • Nehad Ali Shah

18 August 2023

The impact of convection and radiation on the thermal distribution of the wavy porous fin is examined in the present study. A hybrid model that combines the differential evolution (DE) algorithm with an artificial neural network (ANN) is proposed for...

(This article belongs to the Special Issue Symmetrical Mathematical Computation in Fluid Dynamics)
  • Article
  • Open Access
8 Citations
2,714 Views
18 Pages

18 August 2023

In recent years, integration of production scheduling and machine maintenance has gained increasing attention in order to improve the stability and efficiency of flowshop manufacturing systems. This paper proposes a Q-learning-based aquila optimizer...

(This article belongs to the Special Issue Symmetry in Optimization and Its Applications to Machine Learning)
  • Feature Paper
  • Article
  • Open Access
2 Citations
2,430 Views
34 Pages

17 August 2023

We quantized the full Einstein equations in a globally hyperbolic spacetime N=Nn+1, n3, and found solutions of the resulting hyperbolic equation in a fiber bundle E which can be expressed as a product of spatial eigenfunctions (eigendistributions...

(This article belongs to the Section C: Physics)
  • Article
  • Open Access
6 Citations
2,436 Views
14 Pages

A Balanced Symmetrical Branch-Line Microstrip Coupler for 5G Applications

  • Salah I. Yahya,
  • Farid Zubir,
  • Leila Nouri,
  • Fawwaz Hazzazi,
  • Zubaida Yusoff,
  • Muhammad Akmal Chaudhary,
  • Maher Assaad,
  • Abbas Rezaei and
  • Binh Nguyen Le

17 August 2023

Symmetry in designing a microstrip coupler is crucial because it ensures balanced power division and minimizes unwanted coupling between the coupled lines. In this paper, a filtering branch-line coupler (BLC) with a simple symmetrical microstrip stru...

  • Review
  • Open Access
74 Citations
19,283 Views
37 Pages

Thermal Behavior Modeling of Lithium-Ion Batteries: A Comprehensive Review

  • Seyed Saeed Madani,
  • Carlos Ziebert and
  • Mousa Marzband

17 August 2023

To enhance our understanding of the thermal characteristics of lithium-ion batteries and gain valuable insights into the thermal impacts of battery thermal management systems (BTMSs), it is crucial to develop precise thermal models for lithium-ion ba...

(This article belongs to the Section D: Chemistry: Symmetry/Asymmetry)
  • Article
  • Open Access
1 Citations
1,664 Views
13 Pages

17 August 2023

In the conventional (so-called Schrödinger-picture) formulation of quantum theory the operators of observables are chosen self-adjoint and time-independent. In the recent innovation of the theory, the operators can be not only non-Hermitian but...

(This article belongs to the Special Issue Physics and Symmetries of Commutative and Noncommutative Quantum Field Theory)
  • Article
  • Open Access
2 Citations
2,451 Views
12 Pages

Symmetry Function in Trans-Tibial Amputees Gait Supplied with the New Concept of Affordable Dynamic Foot Prosthesis—Case Study

  • Michal Murawa,
  • Jakub Otworowski,
  • Sebastian But,
  • Jaroslaw Kabacinski,
  • Lukasz Kubaszewski and
  • Adam Gramala

17 August 2023

The development of modern technologies has made it much easier to regain the ability to walk after losing a lower limb. The variety of prosthetic feet available on the market allows for optimal choice and appropriate adjustment of the foot prosthesis...

  • Article
  • Open Access
8 Citations
7,088 Views
24 Pages

An Evaluation Model for the Influence of KOLs in Short Video Advertising Based on Uncertainty Theory

  • Meiling Jin,
  • Yufu Ning,
  • Fengming Liu,
  • Fangyi Zhao,
  • Yichang Gao and
  • Dongmei Li

17 August 2023

In the era of rapid growth in the short video industry, it is very important to find more accurate suitable advertising promoters, namely Key Opinion Leaders, to promote the development of short video commerce. A mathematical method is needed to grad...

(This article belongs to the Special Issue Fuzzy Set Theory and Uncertainty Theory—Volume II)
  • Article
  • Open Access
2 Citations
2,038 Views
14 Pages

Rippled Graphene as an Ideal Spin Inverter

  • Ján Buša,
  • Michal Pudlák and
  • Rashid Nazmitdinov

16 August 2023

We analyze a ballistic electron transport through a corrugated (rippled) graphene system with a curvature-induced spin–orbit interaction. The corrugated system is connected from both sides to two flat graphene sheets. The rippled structure unit...

(This article belongs to the Special Issue Cooperative Effects in Finite Systems)
  • Article
  • Open Access
1,691 Views
13 Pages

16 August 2023

It is noted that some uncertain variables are independent while others are not. In general, there is a symmetrical relationship between independence and dependence among uncertain variables. The utilization of conditional uncertain measures as well a...

(This article belongs to the Special Issue Fuzzy Set Theory and Uncertainty Theory—Volume II)
  • Article
  • Open Access
2 Citations
1,921 Views
22 Pages

16 August 2023

The traditional theory of chaotic intermittency developed for return maps hypothesizes a uniform density of reinjected points from the chaotic zone to the laminar one. In the past few years, we have described how the reinjection probability density f...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
1 Citations
2,502 Views
10 Pages

Evaluation of the Reduced Protocol for the Assessment of Rate of Force Development Scaling Factor

  • Života Stefanović,
  • Filip Kukić,
  • Olivera M. Knežević,
  • Nejc Šarabon and
  • Dragan M. Mirkov

16 August 2023

The rate of force development scaling factor (RFD-SF) has been used to assess neuromuscular quickness. However, the common protocols are lengthy. This study evaluated the validity and reliability of the reduced protocol to assess the RFD-SF and its v...

  • Article
  • Open Access
3 Citations
1,323 Views
9 Pages

15 August 2023

Based upon the Pascal distribution series Nq,λr,mΥ(ζ):=ζ+j=m+1j+r2r11+λ(j1)qj1(1q)rajζj, we can obtain a set of fuzzy differential subordinations in this investigatio...

(This article belongs to the Special Issue Symmetry in Pure Mathematics and Real and Complex Analysis)
  • Article
  • Open Access
2 Citations
2,179 Views
10 Pages

15 August 2023

Symbolic n-plithogenic algebraic structures are considered as symmetric generalizations of classical algebraic structures because they have n + 1 symmetric components. This paper is dedicated to generalizing symbolic 3-plithogenic rings by defining s...

(This article belongs to the Special Issue Symmetry in Algebra and Its Applications)
  • Article
  • Open Access
3 Citations
1,433 Views
19 Pages

Evaluation of the Poly-Jindalrae and Poly-Gaenari Polynomials in Terms of Degenerate Functions

  • Noor Alam,
  • Waseem Ahmad Khan,
  • Serkan Araci,
  • Hasan Nihal Zaidi and
  • Anas Al Taleb

15 August 2023

The fundamental aim of this paper is to introduce the concept of poly-Jindalrae and poly-Gaenari numbers and polynomials within the context of degenerate functions. Furthermore, we give explicit expressions for these polynomial sequences and establis...

(This article belongs to the Special Issue Symmetries of Difference Equations, Special Functions and Orthogonal Polynomials II)
  • Article
  • Open Access
9 Citations
4,872 Views
21 Pages

14 August 2023

In this study, an automated medical decision support system is presented to assist physicians with accurate and immediate brain tumor detection, segmentation, and volume estimation from MRI which is very important in the success of surgical operation...

(This article belongs to the Section E: Life Sciences)
  • Article
  • Open Access
7 Citations
1,858 Views
17 Pages

Controlling Matter-Wave Smooth Positons in Bose–Einstein Condensates

  • Kannan Manikandan,
  • Nurzhan Serikbayev,
  • Shunmuganathan P. Vijayasree and
  • Devarasu Aravinthan

14 August 2023

In this investigation, we explore the existence and intriguing features of matter-wave smooth positons in a non-autonomous one-dimensional Bose–Einstein condensate (BEC) system with attractive interatomic interactions. We focus on the Gross&nda...

(This article belongs to the Special Issue Symmetry: Feature Papers 2023)
  • Article
  • Open Access
2 Citations
1,799 Views
17 Pages

An Option Game Model of Supplier R&D Co-Competition under Uncertainty

  • Yinghua Song,
  • Xiaoyan Sang,
  • Zhe Wang and
  • Hongqian Xu

14 August 2023

In order to improve the market competitiveness of suppliers and their resilience to emergencies, it is of great significance to discuss the investment decision making of suppliers in developing new products under uncertain and competitive environment...

(This article belongs to the Topic Evolutionary Differential Equations, Dynamic Systems, Computation and Optimization)
  • Article
  • Open Access
9 Citations
1,711 Views
9 Pages

Ulam–Hyers Stability of Pantograph Hadamard Fractional Stochastic Differential Equations

  • Omar Kahouli,
  • Saleh Albadran,
  • Ali Aloui and
  • Abdellatif Ben Makhlouf

13 August 2023

In this article, we investigate the existence and uniqueness Theorem of Pantograph Hadamard fractional stochastic differential equations (PHFSDE) using the fixed-point Theorem of Banach (BFPT). According to the generalized Gronwall inequalities, we p...

  • Article
  • Open Access
5 Citations
1,844 Views
14 Pages

Symmetry in a Fractional-Order Multi-Scroll Chaotic System Using the Extended Caputo Operator

  • A. E. Matouk,
  • D. K. Almutairi,
  • M. A. E. Herzallah,
  • M. A. Abdelkawy and
  • T. N. Abdelhameed

13 August 2023

In this work, complex dynamics are found in a fractional-order multi-scroll chaotic system based on the extended Gamma function. Firstly, the extended left and right Caputo fractional differential operators are introduced. Then, the basic features of...

(This article belongs to the Special Issue Symmetry in Nonlinear Dynamics and Chaos II)
  • Article
  • Open Access
11 Citations
1,874 Views
18 Pages

13 August 2023

Calibration methods enhance estimates by modifying the initial design weights, for which supplementary information is exploited. This paper first proposes a generalized class of minimum-covariance-determinant (MCD)-based calibration estimators and th...

(This article belongs to the Section B: Mathematics)
  • Feature Paper
  • Article
  • Open Access
10 Citations
1,946 Views
20 Pages

Nonequilibrium Casimir–Polder Interaction between Nanoparticles and Substrates Coated with Gapped Graphene

  • Galina L. Klimchitskaya,
  • Constantine C. Korikov,
  • Vladimir M. Mostepanenko and
  • Oleg Yu. Tsybin

13 August 2023

The out-of-thermal-equilibrium Casimir–Polder force between nanoparticles and dielectric substrates coated with gapped graphene is considered in the framework of the Dirac model using the formalism of the polarization tensor. This is an example of ph...

(This article belongs to the Section C: Physics)
  • Article
  • Open Access
1,966 Views
9 Pages

13 August 2023

We study the holographic dual of the two-dimensional non-relativistic field theory with anisotropic scaling from a symmetry perspective. We construct a new four-dimensional metric with two-dimensional global anisotropic scaling isometry. The four-dim...

(This article belongs to the Special Issue Symmetry and Chaos in Quantum Mechanics)
  • Article
  • Open Access
7 Citations
2,013 Views
19 Pages

13 August 2023

Asymmetric distributions, as opposed to symmetric distributions, may be more resilient to extreme values or outliers. Furthermore, when data show substantial skewness, asymmetric distributions can shed light on the underlying processes or phenomena b...

(This article belongs to the Special Issue Symmetry in Probability Theory and Statistics)
  • Article
  • Open Access
1 Citations
1,947 Views
23 Pages

A New Statistical Technique to Enhance MCGINAR(1) Process Estimates under Symmetric and Asymmetric Data: Fuzzy Time Series Markov Chain and Its Characteristics

  • Mohammed H. El-Menshawy,
  • Abd El-Moneim A. M. Teamah,
  • Mohamed S. Eliwa,
  • Laila A. Al-Essa,
  • Mahmoud El-Morshedy and
  • Rashad M. EL-Sagheer

13 August 2023

Several models for time series with integer values have been published as a result of the substantial demand for the description of process stability having discrete marginal distributions. One of these models is the mixed count geometric integer aut...

(This article belongs to the Special Issue Symmetry in Statistics and Data Science, Volume 2)
  • Article
  • Open Access
2 Citations
1,439 Views
16 Pages

Novel q-Differentiable Inequalities

  • Xuewu Zuo,
  • Saad Ihsan Butt,
  • Muhammad Umar,
  • Hüseyin Budak and
  • Muhammad Aamir Ali

12 August 2023

The striking goal of this study is to introduce a q-identity for a parameterized integral operator via differentiable function. First, we discover the parameterized lemma for the q-integral. After that, we provide several q-differentiable inequalitie...

(This article belongs to the Special Issue Symmetry in Quantum Calculus)
  • Article
  • Open Access
4 Citations
2,304 Views
19 Pages

12 August 2023

In recent years, high-fidelity three-dimensional (3D) oracle bone models (3D-OBMs) have received extensive attention from oracle bone experts due to their unparalleled reducibility to real oracle bone. In the research process of 3D-OBMs, the first pr...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
13 Citations
2,202 Views
14 Pages

A Class of Discrete Memristor Chaotic Maps Based on the Internal Perturbation

  • Worke Adugna Yihyis,
  • Shaobo He,
  • Zhouqing Tang and
  • Huihai Wang

12 August 2023

Further exploration into the influence of a memristor on the behavior of chaotic systems deserves attention. When constructing memristor chaotic systems, it is commonly believed that increasing the number of memristors will lead to better system perf...

(This article belongs to the Section C: Physics)
  • Article
  • Open Access
7 Citations
1,686 Views
16 Pages

New Three Wave and Periodic Solutions for the Nonlinear (2+1)-Dimensional Burgers Equations

  • Waseem Razzaq,
  • Asim Zafar,
  • Abdulaziz Khalid Alsharidi and
  • Mohammed Ahmed Alomair

12 August 2023

This research paper is about the new three wave, periodic wave and other analytical wave solutions of (2+1)-Dimensional Burgers equations by utilizing Hirota bilinear and extended sinh-Gordon equation expansion (EShGEE) schemes. Achieved solutions ar...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
8 Citations
1,389 Views
29 Pages

11 August 2023

The objective of this research paper is to establish the existence and uniqueness of the best proximity and coincidence with best proximity point results, specifically focusing on Geraghty–Pata–Suzuki-type proximal mappings. To achieve th...

(This article belongs to the Special Issue New Trends in Fixed Point Theory with Emphasis on Symmetry)
  • Article
  • Open Access
10 Citations
2,304 Views
18 Pages

11 August 2023

Conceptual design is a key link in the process of complex product design, and it is very important to select the appropriate design scheme; however, there are many types and inaccuracies of the evaluation data, and there is a problem of mutual influe...

(This article belongs to the Section F: Engineering and Materials)
  • Article
  • Open Access
8 Citations
2,297 Views
21 Pages

11 August 2023

Images captured during rainy days present the challenge of maintaining a symmetrical balance between foreground elements (like rain streaks) and the background scenery. The interplay between these rain-obscured images is reminiscent of the principle...

(This article belongs to the Special Issue Symmetry/Asymmetry in Computer Vision and Image Processing)
  • Article
  • Open Access
1 Citations
1,987 Views
10 Pages

11 August 2023

This paper introduces the concept of symmetric difference operators in terms of overlap and grouping functions, for which the associativity property is not strongly required. These symmetric difference operators are weaker than symmetric difference o...

(This article belongs to the Special Issue Fuzzy Set Theory and Uncertainty Theory—Volume II)

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Symmetry - ISSN 2073-8994