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The ordered weighted geometric averaging operators

International Journal of Intelligent Systems, 2002
Summary: The Ordered Weighted Averaging (OWA) operator was introduced by Yager. The fundamental aspect of the OWA operator is a reordering step in which the input arguments are rearranged in descending order. In this article, we propose two new classes of aggregation operators called Ordered Weighted Geometric Averaging (OWGA) operators and study some ...
Zeshui Xu, Qingli Da
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Constant weight codes: a geometric approach

Proceedings. International Symposium on Information Theory, 2005. ISIT 2005., 2005
We present a novel technique for encoding and decoding constant weight binary codes that uses a geometric interpretation of the codebook. Our technique is based on embedding the codebook in a Euclidean space of dimension equal to the weight of the code.
Chao Tian 0002   +2 more
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On the weight hierarchy of geometric Goppa codes

IEEE Transactions on Information Theory, 1994
Summary: The weight hierarchy of a linear code is the set of generalized Hamming weights of the code. In this paper, we consider geometric Goppa codes and provide a lower bound on their generalized Hamming weights similar to Goppa's lower bound on their minimum distance.
YANG, K, KUMAR, PV, STICHTENOTH, H
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Geometrical Solution to the Fermat Problem with Arbitrary Weights

Annals of Operations Research, 2003
Given three points in the plane, the Fermat problem is to find a fourth point such that the sum of (weighted) distances to the given points is minimized. After giving a detailed survey of the related literature, geometric and analytic solutions are presented for arbitrary combinations of positive and negative weights.
Galina Jalal, Jakob Krarup
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Geometric Theory of the Spin‐Weighted Functions

Journal of Mathematical Physics, 1967
The spin‐weighted functions introduced recently are shown to be eigenfunctions of the total angular momentum for appropriately defined geometric objects on the sphere, namely the Pensov objects.
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An Interactive Weighted Geometric Aggregation Operator on T2IFS

New Mathematics and Natural Computation, 2023
Type 2 intuitionistic fuzzy sets (T2IFS) appear to be an attractive and potentially useful tool for coping with uncertainty and inaccurate data in today’s uncertain and ambiguous world. Consequently, it is frequently employed in decision-making (DM) issues. In the DM procedure, it is essential to aggregate the information provided by the experts.
N. Annapurna, V. Sireesha
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Weighted spectra on a weighted geometric realization of 2-simplexes and 3-simplexes

Discrete Mathematics, Algorithms and Applications, 2022
In this paper, we construct a weighted geometric realization of the set of 2-simplexes and 3-simplexes. On this weighted geometric realization, we create the Laplacian associated to 2-simplexes [Formula: see text] and the Laplacian associated to 3-simplexes [Formula: see text].
Azeddine Baalal, Khalid Hatim
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Uncertainty in the weighted gap metric: A geometric approach

Automatica, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. A. Sefton, Raimund J. Ober
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Notes on geometric weighted check digit verfication

Communications of the ACM, 1961
This note describes a method for utilizing geometric weight modulus 11 checking digits on a computer which does not have either multiplication or division. In addition some attempt has been made to show some limitations of this system.
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Credibility estimators with geometric weights

Insurance: Mathematics and Economics, 1988
Abstract In the present paper we study credibility estimators with geometric weights in the framework of experience rating in motor insurance. We discuss how to find optimal weights. The estimators are compared with the traditional credibility estimators and shown to be more robust against a certain type of violations against the model assumptions ...
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