Mathematics and Computer Science

Volume 2, Issue 6, November 2017

  • On Some n-Involution and k-Potent Operators on Hilbert Spaces

    Bernard Mutuku Nzimbi, Beth Nyambura Kiratu, Stephen Wanyonyi Luketero

    Issue: Volume 2, Issue 6, November 2017
    Pages: 79-88
    Received: 15 May 2017
    Accepted: 03 June 2017
    Published: 14 November 2017
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    Abstract: In this paper, we survey various results concerning -involution operators and -potent operators in Hilbert spaces. We gain insight by studying the operator equation , with where . We study the structure of such operators and attempt to gain information about the structure of closely related operators, associated operators and the attendant spectral geometry. The paper concludes with some applications in integral equations.
  • Performance Evaluation of Best-Worst Selection Criteria for Genetic Algorithm

    Abid Hussain, Yousaf Shad Muhammad, Muhammad Nauman Sajid

    Issue: Volume 2, Issue 6, November 2017
    Pages: 89-97
    Received: 27 September 2017
    Accepted: 19 October 2017
    Published: 20 November 2017
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    Abstract: Genetic algorithm’s performance is based on three major factors, which are selection criteria, crossover and mutation operators. Each factor has its own significant role but the selection criteria to choose parents from the population is the key role to running the genetic algorithm. There is a number of selection schemes that have been introduced ... Show More
  • The Research of Discrete Mean - Variance Portfolio Problem with Time-Delay

    Yuquan Cui, Linlin Li, Hua Liu

    Issue: Volume 2, Issue 6, November 2017
    Pages: 98-112
    Received: 10 October 2017
    Accepted: 26 October 2017
    Published: 22 November 2017
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    Abstract: Due to the financial sector complicated variety of events, each financial problems from changes to know its essence, the change rule, from the change of strategy to formulate relevant policy and policy into effect, etc., the process inevitably has a certain lag. Therefore, in order to better reflect the actual situation, we study the portfolio mode... Show More
  • Choose Best Criteria for Decision Making Via Fuzzy Topsis Method

    Muhammad Zulqarnain, Fazal Dayan

    Issue: Volume 2, Issue 6, November 2017
    Pages: 113-119
    Received: 10 October 2017
    Accepted: 27 October 2017
    Published: 24 November 2017
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    Abstract: Multi Criteria Decision Making (MCDM) uses different techniques to find a best alternative from multi-alternative and multi-criteria conditions. TOPSIS is an important practical technique for ranking and selection of different alternatives by using distance measures. Classical TOPSIS uses crisp techniques for the linguistic assessments, but due to ... Show More
  • Analysis of the First Cracks Generating Between Two Holes Under Incremental Static Loading with an Innovation Method by Numerical Modelling

    Shobeir Arshadnejad

    Issue: Volume 2, Issue 6, November 2017
    Pages: 120-129
    Received: 08 June 2017
    Accepted: 23 October 2017
    Published: 03 December 2017
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    Abstract: The application of Non-Explosive Expansion Materials (NEEM) has recently been increased in hard rock quarry mining, especially in granitic rocks. The most important mention in the quarry mining methods is determination of hole pattern, because it relates to cost of exploitation of the rock blocks, directly. It needs to predict the rock fracture pro... Show More
  • Calculator on Java Using the Method of Raoelina Andriambololona

    Solofonjatovo Evariste Andriamasivelo, Raoelina Andriambololona

    Issue: Volume 2, Issue 6, November 2017
    Pages: 130-138
    Received: 20 November 2017
    Accepted: 04 December 2017
    Published: 02 January 2018
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    Abstract: The method of Raoelina Andriambololona consists to apply tools from matricial calculation and linear algebra in Arithmetics. This method permits to simplify arithmetic operations and to suppress many existing inconsistencies in writing, in enunciating, and in the four basic operations of arithmetic: addition, subtraction, multiplication and divisio... Show More