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Aggregation of Weak Fuzzy Norms [PDF]
Symmetry, 2021 Aggregation is a mathematical process consisting in the fusion of a set of values into a unique one and representing them in some sense. Aggregation functions have demonstrated to be very important in many problems related to the fusion of information. This has resulted in the extended use of these functions not only to combine a family of numbers but ...
Tatiana Pedraza +2 more
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New Schweizer Sklar Norm Picture Fuzzy Operator and Decision Application [PDF]
Jisuanji gongcheng, 2023 Existing picture fuzzy operational laws do not satisfy the closure and picture fuzzy aggregation operators, mostly aggregating the evaluation information through a single operator, which interferes with the comprehensive consideration of the relationship
WANG Lei, WANG Nan
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Symmetry, 2018 In this paper, the concept of fuzzy normed ring is introduced and some basic properties related to it are established. Our definition of normed rings on fuzzy sets leads to a new structure, which we call a fuzzy normed ring. We define fuzzy normed ring homomorphism, fuzzy normed subring, fuzzy normed ideal, fuzzy normed prime ideal, and fuzzy normed ...
Aykut Emniyet, Memet Şahin
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Intuitionistic Fuzzy Normed Subrings and Intuitionistic Fuzzy Normed Ideals [PDF]
Mathematics, 2020 The main goal of this paper is to introduce the notion of intuitionistic fuzzy normed rings and to establish basic properties related to it. We extend normed rings by incorporating the idea of intuitionistic fuzzy to normed rings, we develop a new structure of fuzzy rings which will be called an intuitionistic fuzzy normed ring.
Nour Abed Alhaleem, Abd Ghafur Ahmad
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Fuzzy Best Simultaneous Approximation of a Finite Numbers of Functions [PDF]
Sahand Communications in Mathematical Analysis, 2019 Fuzzy best simultaneous approximation of a finite number of functions is considered. For this purpose, a fuzzy norm on $Cleft (X, Y right )$ and its fuzzy dual space and also the set of subgradients of a fuzzy norm are introduced.
Hossain Alizadeh Nazarkandi
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A Probability Integral on η-fuzzy Measure
Journal of Harbin University of Science and Technology, 2022 For the study of relevant definitions and theorems of fuzzy integrals, a fuzzy measure is first defined; then a pair of optimized Einstein operators of the form are designed, which are λ-fuzzy quasiproduct operator and λ-fuzzy quasisum operator ...
CHANG Xin-qi, ZHAO Hui, WU Yang
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HIMPUNAN KOMPAK PADA RUANG METRIK FUZZY
Jurnal Matematika UNAND, 2021 Himpunan kompak adalah suatu himpunan yang setiap selimut bukanya memiliki subselimut berhingga. Pendefinisian ruang metrik fuzzy dapat menggunakan pendefinisian oleh George dan Veeramani, yaitu dengan menggunakan bantuan norm-t kontinu. Pada tulisan ini
SENDY AIWA PRATAMA +2 more
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The Properties of Intuitionistic Anti Fuzzy Module t-norm and t-conorm
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2022 Zadeh have introduced fuzzy set in 1965 and Atanassov have introduced intuitionistic fuzzy set in 1986 in theirs paper. Now, many of researcher connecting intuitionistic fuzzy set with algebraic structure.
Ongky Denny Wijaya +3 more
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Robust T-S Fuzzy Model Identification Approach Based on FCRM Algorithm and L1-Norm Loss Function
IEEE Access, 2020 The Takagi-Sugeno (T-S) fuzzy model identification is a very powerful tool for modelling of complicated nonlinear system. However, the traditional T-S fuzzy model typically uses the L2-norm loss function, which is very sensitive to outliers or noises. So
Nan Zhang +8 more
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Prioritised fuzzy constraint satisfaction problems: axioms, instantiation and validation [PDF]
, 2003 This paper identifies a generic axiom framework for prioritised fuzzy constraint satisfaction problems (PFCSPs), and proposes methods to instantiate it (i.e., to construct specific schemes which obey the generic axiom framework).
Luo, X. +14 more
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