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The concept of statistical convergence was first given by Fast [2]. This concept plays an important role in both applied mathematics and other diciplines that include mathematics. Marouf [13] gave new concepts in asymptotic equivalent series in 1993. In his study in 1980, Patterson [16] presented statistical similarities for asymptotic equivalent sequences. In 2006, Patterson and Savaş [17] add a new dimension to these concepts by using the lacunary series. On the other hand, the concept of statistical convergence for triple sequences is presented by Şahiner et al. in study [20]. Also, in some studies in the literature, the statistical convergence of any real series is determined by absolute value. The absolute value of real numbers is known as a special Orlicz function [19]. The primary goal of this article is to introduce the concepts of asymptotically statistically φ-equivalent and asymptotically lacunary statistically φ-equivalent triple sequences. Using the Orlicz function under special condition, new proofs are given and new concepts are introduced into the literature. Also, the relationship between these new notations will be given. [ABSTRACT FROM AUTHOR]

The observations of some real time series such as temperature and stock market can take different values in a day. Instead of representing the observations of these time series by real numbers, employing linguistic values or fuzzy sets can be more appropriate. In recent years, many approaches have been introduced to analyze time series consisting of observations which are fuzzy sets and such time series are called fuzzy time series. In this study, a novel approach is proposed to analyze high order fuzzy time series model. The proposed method is applied to IMKB data and the obtained results are discussed. IMKB data is also analyzed by using some other fuzzy time series methods available in the literature and obtained results are compared to results obtained from the proposed method. As a result of the comparison, it is seen that the proposed method produce accurate forecasts. [ABSTRACT FROM AUTHOR]

Since early ages of human history, numbers have been regarded as an element of balance between God and Universe. Using their source as testimony to the divine nature of numbers, Ibn Arabi explains the true origin of numbers from the perspective of his conception of "wah-dat" (oneness). Committing to the idea that existence is of a ternary nature, Ibn Arabi dwells on the numbers 1, 2 and 3. Describing the divine archetype of these numbers in existence (wucūd), he establishes original connections between numbers and existence. Ibn Arabi resorts to inner wisdom for describing the nature of numbers, which are otherwise typically explained in a rational context. [ABSTRACT FROM AUTHOR]