On a subclass of α-convex λ-spiral functions by F. M. Al-Oboudi, M. M. Hidan

“…In this paper, we introduce the class Mαλ[A,B] of functions f∈H with f(z)f′(z)/z≠0, satisfying for z∈Δ:{(eiλ−αcosλ)(zf′(z)/f(z))+αcosλ(1+zf″(z)/f′(z))}≺cosλ((1+Az)/(1+Bz))+isinλ, where ≺ denotes subordination, α and λ are real numbers, |λ|<π/2 and −1≤B<A≤1. Functions in Mαλ[A,B] are shown to be λ-spiral like and hence univalent. …”
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On a Third-Order System of Difference Equations with Variable Coefficients by Stevo Stević, Josef Diblík, Bratislav Iricanin, Zdenek Šmarda

“…We show that the system of three difference equations xn+1=an(1)xn-2/(bn(1)ynzn-1xn-2+cn(1)), yn+1=an(2)yn-2/(bn(2)znxn-1yn-2+cn(2)), and zn+1=an(3)zn-2/(bn(3)xnyn-1zn-2+cn(3)), n∈N0, where all elements of the sequences an(i), bn(i), cn(i), n∈N0, i∈{1,2,3}, and initial values x-j, y-j, z-j, j∈{0,1,2}, are real numbers, can be solved. Explicit formulae for solutions of the system are derived, and some consequences on asymptotic behavior of solutions for the case when coefficients are periodic with period three are deduced.…”
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On Parametric Gevrey Asymptotics for Some Cauchy Problems in Quasiperiodic Function Spaces by A. Lastra, S. Malek

“…This is done by an asymptotic study of a Dirichlet-like series whose exponents are positive real numbers which accumulate to the origin.…”
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Complex Spherical Fuzzy Decision Support System Based on Entropy Measure and Power Operator by Muhammad Naeem, Muhammad Qiyas, Thongchi Botmart, Saleem Abdullah, Neelam Khan

“…The uncertainties included in the information are dealt with in contemporary studies of the fuzzy set and its extensions by membership grades, which are a subset of real numbers that lose some relevant information and hence alter the decision results. …”
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Intuitionistic Fuzzy Prioritized Aggregation Operators Based on Priority Degrees with Application to Multicriteria Decision-Making by Ahmad N. Al-Kenani, Rukhshanda Anjum, Sahidul Islam

“…The aggregation operators (AOs) are formed by assigning nonnegative real numbers to stringent priority levels, known as priority degrees. …”
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Stability Analysis of a System of Exponential Difference Equations by Q. Din, K. A. Khan, A. Nosheen

“…We study the boundedness character and persistence, existence and uniqueness of positive equilibrium, local and global behavior, and rate of convergence of positive solutions of the following system of exponential difference equations: xn+1=(α1+β1e-xn+γ1e-xn-1)/(a1+b1yn+c1yn-1), yn+1=(α2+β2e-yn+γ2e-yn-1)/(a2+b2xn+c2xn-1), where the parameters αi, βi, γi, ai, bi, and ci for i∈{1,2} and initial conditions x0, x-1, y0, and y-1 are positive real numbers. Furthermore, by constructing a discrete Lyapunov function, we obtain the global asymptotic stability of the positive equilibrium. …”
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Derivations on the matrix semirings of max-plus algebra by Suffi Nuralesa, Nikken Puspita

“…Let $(S,\oplus,\otimes)$ be a matrix semiring of max-plus algebra with the addition operation $\oplus$ and the multiplication operation $\otimes$, where the set \( S \) consists of matrices constructed from real numbers together with the element negative infinity. …”
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Optimization of fuzzy linear fractional programming problem with fuzzy numbers by Sapan Das

“…In this paper, we consider a Fuzzy Linear Fractional Programming (FLFP) problem under the condition that the objective function and the values of the right-hand side are represented by symmetric trapezoidal fuzzy numbers while the left-hand side constraints are represented by real numbers. Decision variables are characterized by trapezoidal fuzzy numbers and non-negative numbers. …”
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A representation theorem for operators on a space of interval functions by J. A. Chatfield

“…Suppose N is a Banach space of norm |•| and R is the set of real numbers. All integrals used are of the subdivision-refinement type. …”
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A Novel Method for Multiattribute Decision Making with Dual Hesitant Fuzzy Triangular Linguistic Information by Yanbing Ju, Shanghong Yang, Xiaoyue Liu

“…This paper studies the multiattribute decision making (MADM) problems in which the attribute values take the form of dual hesitant fuzzy triangular linguistic elements and the weights of attributes take the form of real numbers. Firstly, to solve the situation where the membership degree and the nonmembership degree of an element to a triangular linguistic variable, the concept, operational laws, score function, and accuracy function of dual hesitant fuzzy triangular linguistic elements (DHFTLEs) are defined. …”
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PERFORMANCE REQUIRED FOR COMMON-USE COMPONENTS OF COMPUTER NETWORKS by BOLUN, Ion

“…Because the obtained in this way performances are positive real numbers, and the allowed performances of concerned entities are discrete ones, further adjustment of the solution in question, depending of the case, may be necessary. …”
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A new approach to error inequalities: From Euler-Maclaurin bounds to cubically convergent algorithm by Miguel Vivas-Cortez, Usama Asif, Muhammad Zakria Javed, Muhammad Uzair Awan, Yahya Almalki, Omar Mutab Alsalami

“…From an applicable perspective, we developed several intriguing applications of our results, which illustrated the relationship between the means of real numbers and the error bounds of quadrature schemes. …”
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Performance Evaluation of Turkish Ports: Integrated Fuzzy Entropy- Fuzzy MARCOS Analysis by Özlem Karadağ Albayrak

“…This method can provide a more accurate evaluation of the performance level of ports and its use in the planning and effective use of port investments.Originality: This research fills the gap in the literature in three ways: (1) Evaluatee the application of triangular fuzzy numbers to the panel data, which will provide effective inferences about the performanse level of the selected ports, (2) Evaluated a weighting approach using Entropy method that takes into account the distances of triangular fuzzy numbers consisting of real numbers instead of linguistic expressions, (3) An Entropy-based MARCOS method is proposed for solving the Multi-Criteria Decision Making (MCDM) problem involving the performanse analysis of Turkish ports.…”
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Forecasting the number of rural migrant workers in Chongqing using the optimized grey N_Verhulst model by Dai Liu, Chengxiang He, Jianlong Ma

“…It expands from 1 to all real numbers, thus enhancing its capacity to mine approximately saturated S-shaped time-series data. …”
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Motion Control of a Mobile Robot Using the Hedge–Algebras-Based Controller by Sy-Tai Nguyen, Thi-Thoa Mac, Hai-Le Bui

“…These values are quantified by real numbers between 0 and 1. Therefore, the HA-based controller (HAC) has many advantages over the traditional fuzzy set theory-based controller (FC) in setup steps, control efficiency, computation time, and optimization. …”
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Exploring a novel approach for computing topological descriptors of graphene structure using neighborhood multiple M-polynomial by Tumiso Kekana, Kazeem Olalekan Aremu, Kazeem Olalekan Aremu, Maggie Aphane

“…Topological indices (TIs) play a crucial role in studying graphene's structure as mathematical functions mapping molecular graphs to real numbers, capturing their topological characteristics. …”
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On Defining Expressions for Entropy and Cross-Entropy: The Entropic Transreals and Their Fracterm Calculus by Jan A. Bergstra, John V. Tucker

“…Instead of adding conventions or splitting formulae into cases, we create a new algebra of real numbers with two symbols <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>±</mo><mo>∞</mo></mrow></semantics></math></inline-formula> for signed infinite values and a symbol named ⊥ for the undefined. …”
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CHANGES IN SHEEP TRANSHUMANCE IN ROMANIA. A CASE-STUDY FROM MĂRGINIMEA SIBIULUI – SOUTHERN CARPATHIANS by SHIGERU SHIRASAKA, KAZUKO URUSHIBARA–YOSHINO

“…During the former regime, the sheep holders were required to inform the government every year of their sheep numbers and increases from the previous year. The real numbers were very hard to obtain statistically or through questionnaires. …”
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RETRACTED ARTICLE: Confidence level based complex polytopic fuzzy Einstein aggregation operators and their application to decision-making process by Khaista Rahman, Mohammad Khishe

“…Abstract A complex Polytopic fuzzy set (CPoFS) extends a Polytopic fuzzy set (PoFS) by handling vagueness with degrees that range from real numbers to complex numbers within the unit disc. …”
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Global Dynamics of Some 3 × 6 Systems of Exponential Difference Equations by A. Q. Khan, A. Sharif

“…We study the global dynamics of a list of following 3×6 systems of exponential difference equations: xn+1=α4+β4e-yn/γ4+yn-1, yn+1=α5+β5e-zn/γ5+zn-1, zn+1=α6+β6e-xn/γ6+xn-1, xn+1=α7+β7e-zn/γ7+zn-1, yn+1=α8+β8e-xn/γ8+xn-1, zn+1=α9+β9e-yn/γ9+yn-1, xn+1=α10+β10e-xn/γ10+xn-1, yn+1=α11+β11e-yn/γ11+zn-1, zn+1=α12+β12e-zn/γ12+yn-1, xn+1=α13+β13e-xn/γ13+zn-1, yn+1=α14+β14e-yn/γ14+yn-1, zn+1=α15+β15e-zn/γ15+xn-1, xn+1=α16+β16e-xn/γ16+yn-1, yn+1=α17+β17e-yn/γ17+xn-1,  zn+1=α18+β18e-zn/γ18+zn-1, where αi,βi,γi,i=4,5,⋯,18 and the initial conditions x0,x-1,y0,y-1,z0,z-1 are arbitrary nonnegative real numbers. This proposed work is considerably extended and improve some existing results in the literature. …”
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