Applied and Computational Mathematics

Archive

Volume 4, Issue 1, January 2015

  • A New Method for Solving Fully Fuzzy Linear Programming Problems by Using the Lexicography Method

    Mohammad Mehdi Shamooshaki, Ali Hosseinzadeh, Seyyed Ahmad Edalatpanah

    Issue: Volume 4, Issue 1-2, January 2015
    Pages: 1-3
    Received: 10 October 2014
    Accepted: 20 October 2014
    Published: 24 October 2014
    DOI: 10.11648/j.acm.s.2015040102.11
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    This article belongs to the Special Issue New Advances in Fuzzy Mathematics: Theory, Algorithms, and Applications
    Abstract: In this paper by using the lexicography method, we proposed a new model to solve fully fuzzy linear programming problem with L-R fuzzy number and find the fuzzy optimal solution of it. Our method has graceful structure and is easy to implement compared with some existing methods. To illustrate our method, a numerical example is solved.
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  • ON (m, n) –Upper Q-Fuzzy Soft Subgroups

    Rathinam Nagarajan, K. Venugopal

    Issue: Volume 4, Issue 1-2, January 2015
    Pages: 4-9
    Received: 5 September 2014
    Accepted: 25 September 2014
    Published: 3 November 2014
    DOI: 10.11648/j.acm.s.2015040102.12
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    This article belongs to the Special Issue New Advances in Fuzzy Mathematics: Theory, Algorithms, and Applications
    Abstract: In this paper we shall study some properties for upper Q- fuzzy subgroups, some lemma and theorem for this subject. We shall study the upper Q- fuzzy index with the upper fuzzy sub groups; also we shall give some new definitions for this subject. On the other hand we shall give the definition of the upper normal fuzzy subgroups, and study the main... Show More
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  • A Note on Zadeh's Extension Principle

    Masamichi Kon

    Issue: Volume 4, Issue 1-2, January 2015
    Pages: 10-14
    Received: 27 November 2014
    Accepted: 2 December 2014
    Published: 27 December 2014
    DOI: 10.11648/j.acm.s.2015040102.13
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    This article belongs to the Special Issue New Advances in Fuzzy Mathematics: Theory, Algorithms, and Applications
    Abstract: For a mapping, fuzzy sets obtained by Zadeh's extension principle are images of other fuzzy sets on the domain of the mapping under the mapping. Some relationships between images of level sets of one or two fuzzy sets under a mapping and another fuzzy set obtained from the one or two fuzzy sets by Zadeh's extension principle are known. In the prese... Show More
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  • Pseudo Similar Intuitionistic Fuzzy Matrices

    T. Gandhimathi, A. R. Meenakshi

    Issue: Volume 4, Issue 1-2, January 2015
    Pages: 15-19
    Received: 28 November 2014
    Accepted: 24 December 2014
    Published: 31 December 2014
    DOI: 10.11648/j.acm.s.2015040102.14
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    This article belongs to the Special Issue New Advances in Fuzzy Mathematics: Theory, Algorithms, and Applications
    Abstract: In this paper, we shall define Pseudo Similarity and Semi Similarity for Intuitionistic Fuzzy Matrix (IFM) and prove that the Pseudo similarity relation on a pair of IFMs is inherited by all its powers and their transposes are similar. Also we exibit that the Pseudo similarity relation preserve regularity and impotency of their matrices.
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  • Linear Fractional Multi-Objective Optimization Problems Subject to Fuzzy Relational Equations with the Max-Average Composition

    Z‎. ‎ Valizadeh-Gh, E‎. ‎Khorram

    Issue: Volume 4, Issue 1-2, January 2015
    Pages: 20-30
    Received: 21 December 2014
    Accepted: 19 January 2015
    Published: 8 February 2015
    DOI: 10.11648/j.acm.s.2015040102.15
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    This article belongs to the Special Issue New Advances in Fuzzy Mathematics: Theory, Algorithms, and Applications
    Abstract: ‎In this paper‎, ‎linear fractional multi-objective optimization problems subject to a system of fuzzy relational equations (FRE) using the max-average composition are considered‎. ‎First‎, ‎some theorems and results are presented to thoroughly identify and reduce the feasible set of the fuzzy relation equations‎. ‎Next‎, ‎the linear fractional mul... Show More
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