Results 41 to 50 of about 129 (114)
AxiomsThe concept of summability is crucial in deriving formal solutions to partial differential equations. This paper explores the connection between the methods of statistical convergence of sequences and statistical Cesàro summability in intuitionistic ...
Pradip Debnath
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Intuitionistic Fuzzy Stability of Functional Equations Associated with Inner Product Spaces
Abstract and Applied Analysis, 2011 In intuitionistic fuzzy normed spaces, we investigate some stability results for the functional equation ∑𝑛𝑖=1𝑓(𝑥𝑖∑−(1/𝑛)𝑛𝑗=1𝑥𝑗∑)=𝑛𝑖=1𝑓(𝑥𝑖∑)−𝑛𝑓((1/𝑛)𝑛𝑖=1𝑥𝑖) which is said to be a functional equation associated with inner products space.
Zhihua Wang, Themistocles M. Rassias
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Finite Dimensional Intuitionistic Fuzzy Normed Linear Space
, 2008 16 pages.
Samanta, T. K., Jebril, Iqbal H.
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IET Image Processing, Volume 20, Issue 1, January/December 2026.Glioma segmentation from multimodal MRI is challenging due to tumour heterogeneity and imaging noise. To address this, we propose AIRP‐UNet, an asymmetric hybrid network that integrates an attention‐guided inverted residual decoder and a pyramid pooling module to selectively focus on tumour regions and capture multi‐scale context.
Chunhui Shu +3 more
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Some Topological Properties of Intuitionistic Fuzzy Normed Spaces [PDF]
, 2020 In 1986, Atanassov introduced the concept of intuitionistic fuzzy set theory which is based on the extensions of definitions of fuzzy set theory given by Zadeh.This theory provides a variable model to elaborate uncertainty and vagueness involved in decision making problems.In this chapter, we concentrate our study on the ideal convergence of sequence ...
Vakeel A. Khan +2 more
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Multidimensional Topological Measure Spaces and Their Applications in Decision‐Making Problems
Advances in Fuzzy Systems, Volume 2026, Issue 1, 2026.This paper presents a generalized framework termed the multidimensional topological measure space (MDTMS), developed through multidimensional fuzzy sets, multidimensional topology, and an associated distance measure. The suggested framework enhances traditional fuzzy models by facilitating a more nuanced representation and examination of intricate ...
Jomal Josen +3 more
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Applying Fixed Point Techniques to Stability Problems in Intuitionistic Fuzzy Banach Spaces
Mathematics, 2020 In this paper we investigate Hyers-Ulam-Rassias stability of certain nonlinear functional equations. Considerations of such stabilities in different branches of mathematics have been very extensive.
P. Saha +4 more
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.In this paper, utilizing the concept of neutrosophic metric spaces proposed by Kirisci and Simsek, we establish a fixed point theorem of Edelstein type within this framework. A numerical example is provided to illustrate the validity of the main result. Furthermore, we present an application to a general SIR‐type epidemic model.
Vishal Gupta +3 more
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Intuitionistic fuzzy I-convergent Fibonacci difference sequence spaces
Journal of Inequalities and Applications, 2019 Fibonacci difference matrix was defined by Kara in his paper (Kara in J. Inequal. Appl. 2013:38 2013). Recently, Khan et al. (Adv. Differ. Equ. 2018:199, 2018) using the Fibonacci difference matrix F̂ and ideal convergence defined the notion of c0I(Fˆ ...
Vakeel A. Khan +4 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The utilization of fuzzy fractional partial differential equations has turned into a practical tool for modeling real‐life phenomena because they offer a compact framework for modeling complex phenomena with uncertainty, providing insights and reflecting on systems that classical models cannot adequately get.
Hamzeh Zureigat +4 more
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