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Athar Kharal

  1. Predicting Suicide Attacks: A Fuzzy Soft Set Approach.

    Thu, 07/29/2010 - 15:01 — SomNambul
    Authors: Athar Kharal
    Subjects: Artificial Intelligence
    Abstract

    This paper models a decision support system to predict the occurance of
    suicide attack in a given collection of cities. The system comprises two parts.
    First part analyzes and identifies the factors which affect the prediction.
    Admitting incomplete information and use of linguistic terms by experts, as two
    characteristic features of this peculiar prediction problem we exploit the
    Theory of Fuzzy Soft Sets.

  2. Soft Approximations and uni-int Decision Making.

    Tue, 07/06/2010 - 15:04 — SomNambul
    Authors: Athar Kharal
    Subjects: Artificial Intelligence
    Abstract

    Notions of core, support and inversion of a soft set have been de ned and
    studied. Soft approximations are soft sets developed through core and support,
    and are used for granulating the soft space. Membership structure of a soft set
    has been probed in and many interesting properties presented. The mathematical
    apparatus developed so far in this paper yields a detailed analysis of two
    works viz. [N. Cagman, S. Enginoglu, Soft set theory and uni-int decision
    making, European Jr. of Operational Research (article in press, available
    online 12 May 2010)] and [N. Cagman, S.

  3. Mappings on Soft Classes.

    Mon, 06/28/2010 - 15:01 — SomNambul
    Authors: Athar Kharal, B. Ahmad
    Subjects: Logic
    Abstract

    In this paper, we define the notion of a mapping on soft classes and study
    several properties of images and inverse images of soft sets supported by
    examples and counterexamples. Finally, these notions have been applied to the
    problem of medical diagnosis in medical expert systems.

  4. Distance and Similarity Measures for Soft Sets.

    Mon, 06/28/2010 - 15:01 — SomNambul
    Authors: Athar Kharal
    Subjects: Logic
    Abstract

    In [P. Majumdar, S. K. Samanta, Similarity measure of soft sets, New
    Mathematics and Natural Computation 4(1)(2008) 1-12], the authors use matrix
    representation based distances of soft sets to introduce matching function and
    distance based similarity measures. We first give counterexamples to show that
    their Definition 2.7 and Lemma 3.5(3) contain errors, then improve their Lemma
    4.4 making it a corllary of our result. The fundamental assumption of Majumdar
    et al has been shown to be flawed. This motivates us to introduce set
    operations based measures.

Math-arch

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