1,720,962 research outputs found
?2-STATISTICAL SUMMABILITY OF DOUBLE SEQUENCES IN FUZZY N-NORMED SPACES
No full textThis paper's main purpose is to present lambda(2)-statistically convergent and condition of being lambda(2)- statistically Cauchy for double sequences in fuzzy nnormed spaces. At the same time, in fuzzy n-normed space, we have introduced the concept of lambda(2)-summability and Cesaro summability for double sequences in fuzzy n normed spaces. Then, we studied the relation between these concepts and statistical convergence in fuzzy n-normed space.Acknowledgments. The author would like to thank the anonymous referee for his/her comments that helped us improve this article
ON SOME PROPERTIES OF LACUNARY STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES IN FUZZY N-NORMED SPACES
No full textIn this study, the application of lacunary statistical convergence of double sequences, previously described in fuzzy normed spaces, has been rede fined using fuzzy n-norm. First of all, the concept of lacunary summable has been introduced and then the definition of lacunary statistical convergence and the basic theorems related to this convergence have been introduced for double sequences in fuzzy n-normed spaces. Then the relations between lacunary summable and lacunary statistical convergence have examined and some theorems are given together with the proofs. Furthermore, the conditions of lacunary statistical Cauchy are given for double sequences in fuzzy n-normed spaces. Finally, the theorem that gives the relation between lacunary statistical convergence and lacunary statistical Cauchy has given in fuzzy n-normed spaces
On I?2-convergence in fuzzy normed spaces
Full text linkIn this study, first, lacunary convergence of double sequences is introduced in fuzzy normed spaces, and basic definitions and theorems about lacunary convergence for double sequences are given in fuzzy normed spaces. Then, we introduce the concept of lacunary ideal convergence of double sequences in fuzzy normed spaces, and the relation between lacunary convergence and lacunary ideal convergence is investigated for double sequences in fuzzy normed spaces. Finally, in fuzzy normed spaces, we give the concept of limit point and cluster point for double sequences, and the theorems related to these concepts are given
Outlier-Robust Convergence of Integer- and Fractional-Order Difference Operators in Fuzzy-Paranormed Spaces: Diagnostics and Engineering Applications
Full text linkWe develop a convergence framework for Gr & uuml;nwald-Letnikov (GL) fractional and classical integer difference operators acting on sequences in fuzzy-paranormed (fp) spaces, motivated by data that are imprecise and contain sporadic outliers. Fuzzy paranorms provide a resolution-dependent notion of proximity, while statistical and lacunary statistical convergence downweight sparse deviations by natural density; together, they yield robust criteria for difference-filtered signals. Within this setting, we establish uniqueness of fp-Delta(m) statistical limits; an equivalence between fp-statistical convergence of Delta(m) (and its GL extension Delta(alpha)) and fp-strong p-Ces & agrave;ro summability; an equivalence between lacunary fp-Delta(m) statistical convergence and blockwise strong p-Ces & agrave;ro summability; and a density-based decomposition into a classically convergent part plus an fp-null remainder. We also show that GL binomial weights act as an & ell;1 convolution, ensuring continuity of Delta(alpha) in the fp topology, and that nabla/delta forms are transferred by the discrete Q-operator. The usefulness of the criteria is illustrated on simple engineering-style examples (e.g., relaxation with memory, damped oscillations with bursts), where the fp-Ces & agrave;ro decay of difference residuals serves as a practical diagnostic for Ces & agrave;ro compliance. Beyond illustrative mathematics, we report engineering-style diagnostics where the fuzzy Ces & agrave;ro residual index correlates with measurable quantities (e.g., vibration amplitude and energy surrogates) under impulsive disturbances and missing data. We also calibrate a global decision threshold tau(glob) via sensitivity analysis across (alpha,p,m), where m is an element of & Nopf; is the integer difference order, alpha>0 is the fractional order, and p >= 1 is the Ces & agrave;ro exponent, and provide quantitative baselines (median/M-estimators, & ell;(1) trend filtering, Gaussian Kalman filtering, and an alpha-stable filtering structure) to show complementary gains under bursty regimes. The results are stated for integer m and lifted to fractional orders alpha>0 through the same binomial structure and duality
? - statistical convergence in fuzzy normed linear spaces
No full textIn this paper, we have introduced lambda - statistical convergence and condition of being lambda - statistical Cauchy of real number sequences in fuzzy normed linear spaces. At the same time, in fuzzy normed spaces, we have introduced the concept of (V , lambda)summability and (C, 1) summability, and then, we have studied the relation between these concepts and lambda-statistical convergence
lambda - statistical convergence in fuzzy normed linear spaces
No full textWOS: 000436432400051In this paper, we have introduced lambda - statistical convergence and condition of being lambda - statistical Cauchy of real number sequences in fuzzy normed linear spaces. At the same time, in fuzzy normed spaces, we have introduced the concept of (V , lambda)summability and (C, 1) summability, and then, we have studied the relation between these concepts and lambda-statistical convergence
I-fp Convergence in Fuzzy Paranormed Spaces and Its Application to Robust Base-Stock Policies with Triangular Fuzzy Demand
No full textWe introduce I-fp convergence (ideal convergence in fuzzy paranormed spaces) and develop its core theory, including stability results and an equivalence to I*-fp convergence under the AP Property. Building on this foundation, we design an adaptive base-stock policy for a single-echelon inventory system in which weekly demand is expressed as triangular fuzzy numbers while holiday or promotion weeks are treated as ideal-small anomalies. The policy is updated by a simple learning rule that can be implemented in any spreadsheet, requires no optimisation software, and remains insensitive to tuning choices. Extensive simulation confirms that the method simultaneously lowers cost, reduces average inventory and raises service level relative to a crisp benchmark, all while filtering sparse demand spikes in a principled way. These findings position I-fp convergence as a lightweight yet rigorous tool for blending linguistic uncertainty with anomaly-aware decision making in supply-chain analytics
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
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