Results 251 to 260 of about 93,281 (290)

t-Norm Fuzzy Graphs

New Mathematics and Natural Computation, 2018
We generalize the definition of a fuzzy graph by replacing minimum in the basic definitions with an arbitrary [Formula: see text]-norm. The reason for this is that some applications are better modeled with a [Formula: see text]-norm other than minimum.
John N. Mordeson, Sunil Mathew
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Actions, norms, subactions and kernels of (fuzzy) norms

2010
Summary: We introduce the notion of an action \(Y_X\) as a generalization of the notion of a module, and the notion of a norm \(\Delta: Y_X\to F\), where \(F\) is a field and \(\Delta(xy) \Delta (y')=\Delta (y)\Delta (xy')\), as well as the notion of fuzzy norm, where \(\Delta: Y_X\to [0,1]\subseteq \mathbb R\), with \(\mathbb R\) the set of real ...
Han, Jeong Soon, Kim, Hee Sik, Neggers, J   +2 more
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Research on k-norms and fuzzy k-norms

Computational and Applied Mathematics
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Zhong, Yu, Guo, Yu-Huan, Yang, Zhi-Hui
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Fuzzy topology generated by fuzzy norm

2016
Summary: In the current paper, consider the fuzzy normed linear space \((X,N)\) which is defined by \textit{T. Bag} and \textit{S. K. Samanta} [Fuzzy Sets Syst. 151, No. 3, 513--547 (2005; Zbl 1077.46059)]. First, we construct a new fuzzy topology on this space and show that these spaces are Hausdorff locally convex fuzzy topological vector space. Some
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L1-norm based fuzzy clustering

Fuzzy Sets and Systems, 1991
The presented fuzzy clustering problem uses the distance between observations and location parameter vectors, which is based on the \(L_ 1\)-norm, instead of the inner product induced norm used in classical fuzzy ISODATA. Two alternative methods to solve the \(L_ 1\) fuzzy clustering problem are derived.
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Fuzzy Normed Linear Spaces

2020
In this chapter we will present different concepts of fuzzy norms on a linear space, introduced by various authors from different points of view. Thus, in 1984, Katsaras was the first who introduced the notion of fuzzy norm, this being of Minkowsky type, associated to an absolutely convex and absorbing fuzzy set.
Sorin Nădăban, Simona Dzitac, Ioan Dzitac   +2 more
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Fuzzy approximate m-mappings in quasi fuzzy normed spaces

Fuzzy Sets and Systems, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Intuitionistic Fuzzy Pseudo-Normed Linear Spaces

New Mathematics and Natural Computation, 2018
We introduce the definition of intuitionistic fuzzy pseudo-norm and study some properties of convergence and [Formula: see text]-convergence in intuitionistic fuzzy pseudo-normed linear spaces.
Dinda, Bivas, Ghosh, Santanu Kumar, Samanta, T. K.   +2 more
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Another approach to generate fuzzy normed spaces and fuzzy normed algebras by normed spaces and normed algebras respectively

Summary: In this paper, we introduce a new approach to generate a fuzzy norm using a classic norm and a continuous Archimedean $t$-norm (CATN). Our method involves two steps. First, we utilize a CATN to create a continuous additive generator (CAG). Then, we employ the corresponding additive generator (AG) and a classic norm to generate a fuzzy norm.
Khoddami, Ali Reza, Tourani, Rasoul
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Fuzzy Normed Spaces and Fuzzy Metric Spaces

2018
In this chapter, we define fuzzy normed spaces and show that every fuzzy normed space induces a fuzzy metric space. Then we consider the topology induced by fuzzy normed (metric) spaces and show some important topological properties of them. Next, we study fuzzy inner product spaces and some properties of these spaces.
Yeol Je Cho, Themistocles M. Rassias, Reza Saadati   +2 more
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