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A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces [PDF]

open access: yesAbstract and Applied Analysis, 2014
We introduce fuzzy norm-preserving maps, which generalize the concept of fuzzy isometry. Based on the ideas from Vogt, 1973, and Väisälä, 2003, we provide the following generalized version of the Mazur-Ulam theorem in the fuzzy context: let X, Y be fuzzy
J. J. Font   +3 more
doaj   +6 more sources

Intuitionistic fuzzy complex subgroups with respect to norms (T,S) [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2023
In our work in this paper, we define intuitionistic fuzzy complex subgroups with respect to t-norm T and s-norm S and investigate some properties of them in detail. Next, we obtain some results about them and give some relationships between them.
Rasul Rasuli
doaj   +1 more source

Sifat-Sifat Subgrup Fuzzy Intuitionistik atas Norm (t-Norm dan s-Norm)

open access: yesJurnal Matematika Integratif, 2022
Subgrup fuzzy dapat diperumum menjadi subgrup fuzzy intuitionistik dan subgrup fuzzy atas t-norm. Lebih lanjut, subgrup fuzzy intuitionistik dan subgrup fuzzy atas t-norm dapat diperumum menjadi subgrup fuzzy intuitionistik atas norm (t-norm dan s-norm).
Rizka 'Abid Fadhiilah, Budi Surodjo
doaj   +1 more source

New Schweizer Sklar Norm Picture Fuzzy Operator and Decision Application [PDF]

open access: yesJisuanji 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
doaj   +1 more source

Certain results on metric and norm in fuzzy multiset setting

open access: yesRatio Mathematica, 2021
Fuzzy multiset is an extension of fuzzy set in multiset framework. In this paper, we review the concept of fuzzy multisets and study the notions of metric and norm on fuzzy multiset.
J. M. Agbetayo, P. A. Ejegwa
doaj   +1 more source

Fuzzy Best Simultaneous Approximation of a Finite Numbers of Functions [PDF]

open access: yesSahand 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
doaj   +1 more source

A Probability Integral on η-fuzzy Measure

open access: yesJournal 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
doaj   +1 more source

HIMPUNAN KOMPAK PADA RUANG METRIK FUZZY

open access: yesJurnal 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
doaj   +1 more source

The Properties of Intuitionistic Anti Fuzzy Module t-norm and t-conorm

open access: yesCauchy: 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
doaj   +1 more source

Robust T-S Fuzzy Model Identification Approach Based on FCRM Algorithm and L1-Norm Loss Function

open access: yesIEEE 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
doaj   +1 more source

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