Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Now showing 1 - 4 of 4
  • Erratum
    Citation - WoS: 10
    Citation - Scopus: 11
    Retracted: a Novel Multicriteria Decision-Making Approach for Einstein Weighted Average Operator Under Pythagorean Fuzzy Hypersoft Environment (Retracted Article)
    (Hindawi Ltd, 2022) Jarad, Fahd; Majdoubi, Jihen; Zulqarnain, Rana Muhammad; Iampan, Aiyared; Siddique, Imran; Sunthrayuth, Pongsakorn
    The experts used the Pythagorean fuzzy hypersoft set (PFHSS) in their research to discourse ambiguous and vague information in decision-making processes. The aggregation operator (AO) plays a prominent part in the sensitivity of the two forefront loops and eliminates anxiety from that perception. The PFHSS is the most influential and operative extension of the Pythagorean fuzzy soft set (PFSS), which handles the subparameterized values of alternatives. It is also a generalized form of Intuitionistic fuzzy hypersoft set (IFHSS) that provides better and more accurate assessments in the decision-making (DM) process. In this work, we present some operational laws for Pythagorean fuzzy hypersoft numbers (PFHSNs) and then formulate Pythagorean fuzzy hypersoft Einstein weighted average (PFHSEWA) operator based on developed operational laws. We discuss essential features such as idempotency, boundedness, and homogeneity for the proposed PFHSEWA operator. Furthermore, a DM approach has been developed based on the built-in operator to address multicriteria decision-making (MCDM) issues. A numerical case study of decision-making problems in real-life agricultural farming is considered to validate the settled technique's dominance and applicability. The consequences display that the planned model is more operative and consistent to handle inexact data based on PFHSS.
  • Erratum
    Citation - WoS: 4
    Citation - Scopus: 8
    Retracted: an Analytical Investigation of Fractional-Order Biological Model Using an Innovative Technique (Retracted Article)
    (Wiley-hindawi, 2020) Khan, Adnan; Al Qurashi, Maysaa; Baleanu, Dumitru; Shah, Rasool; Khan, Hassan
    In this paper, a new so-called iterative Laplace transform method is implemented to investigate the solution of certain important population models of noninteger order. The iterative procedure is combined effectively with Laplace transformation to develop the suggested methodology. The Caputo operator is applied to express the noninteger derivative of fractional order. The series form solution is obtained having components of convergent behavior toward the exact solution. For justification and verification of the present method, some illustrative examples are discussed. The closed contact is observed between the obtained and exact solutions. Moreover, the suggested method has a small volume of calculations; therefore, it can be applied to handle the solutions of various problems with fractional-order derivatives.
  • Erratum
    Citation - WoS: 3
    Citation - Scopus: 5
    Retracted: the Stability of Gauss Model Having One-Prey and Two-Predators (Retracted Article)
    (Hindawi Ltd, 2012) Doust, M. H. Rahmani; Haghighifar, F.; Baleanu, D.; Farajzadeh, A.
    The study of the dynamics of predator-prey interactions can be recognized as a major issue in mathematical biology. In the present paper, some Gauss predator-prey models in which three ecologically interacting species have been considered and the behavior of their solutions in the stability aspect have been investigated. The main aim of this paper is to consider the local and global stability properties of the equilibrium points for represented systems. Finally, stability of some examples of Gauss model with one prey and two predators is discussed.
  • Erratum
    Citation - WoS: 5
    Retracted: on the Composition of the Distributions X+<sup>λ</Sup> and X+<sup>μ</Sup> (Retracted Article. See Vol. 330, Pg. 1494 2007)
    (Academic Press inc Elsevier Science, 2006) Tas, K; Fisher, B
    Let F be a distribution and let f be a locally summable function. The distribution F(f) is defined as the neutrix limit of the sequence {F-n(f)}, where F-n(x) = F(x) * delta(n)(x) and {delta(n)(x)) is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function delta(x). The distributions (x(+)(mu) )(+)(lambda) are evaluated for lambda < 0, mu > 0 and lambda, lambda mu not equal -1, -2.... (c) 2005 Elsevier Inc. All rights reserved.