Results 31 to 40 of about 6,708 (303)

Pythagorean and fermatean fuzzy sub-group redefined in context of T ̃-norm and S ̃-conorm [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2023
This paper aims to study Pythagorean and Fermatean Fuzzy Subgroups (FFSG)  in the context of -norm and  -conorm functions. The paper examines the extensions of fuzzy subgroups, specifically "Pythagorean Fuzzy Subgroups (PFSG)" and "FFSG", along with ...
Vishnu Mishra   +3 more
doaj   +1 more source

The Fuzzy Width Theory in the Finite-Dimensional Space and Sobolev Space

open access: yesMathematics, 2023
This paper aims to fuzzify the width problem of classical approximation theory. New concepts of fuzzy Kolmogorov n-width and fuzzy linear n-width are introduced on the basis of α-fuzzy distance which is induced by the fuzzy norm.
Yanyan Xu, Lu Sun, Hao Li, Guanggui Chen
doaj   +1 more source

Power Aggregation Operators of Interval-Valued Atanassov-Intuitionistic Fuzzy Sets Based on Aczel–Alsina t-Norm and t-Conorm and Their Applications in Decision Making

open access: yesInternational Journal of Computational Intelligence Systems, 2023
Aczel–Alsina t-norm and t-conorm are important t-norm and t-conorm, and they are extended from algebraic t-norm and t-conorm. Obviously, Aczel–Alsina t-norm and t-conorm are more general than some existing t-norm and t-conorm.
Xinming Shi   +3 more
doaj   +1 more source

A Benchmark Similarity Measures for Fermatean Fuzzy Sets

open access: yesBulletin of the Section of Logic, 2022
In this paper, we utilized triangular conorms (S-norm). The essence of using S-norm is that the similarity order does not change using different norms.
Faiz Muhammad Khan   +2 more
doaj   +1 more source

The strongest t-norm for fuzzy metric spaces [PDF]

open access: yes, 2013
summary:In this paper, we prove that for a given positive continuous t-norm there is a fuzzy metric space in the sense of George and Veeramani, for which the given t-norm is the strongest one.
Qiu, Dong, Zhang, Weiquan
core   +1 more source

Fuzzy Operator Ideals

open access: yesJournal of Applied Science and Engineering, 2022
Although the systematic emergence of the fuzzy functional analysis theory has started in the last few years, we are starting to construct a new theory of fuzzy operator ideals inspired by the classical (crisp) operator ideals theory.
Laith K. Shaakir   +2 more
doaj   +1 more source

A contractive mappings on fuzzy normed linear spaces [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2016
‎In this paper‎, ‎we use the definition of fuzzy normed spaces given by Bag and Samanta and provide four types of fuzzy versions of contraction‎. ‎We show that these mappings necessarily have unique fixed points in fuzzy normed linear spaces‎.
Morteza Saheli
doaj   +1 more source

On generalizations of fuzzy metric spaces [PDF]

open access: yes, 2023
summary:The aim of the paper is to present three-variable generalizations of fuzzy metric spaces in sense of George and Veeramani from functional and topological points of view, respectively.
Shi, Yi, Yao, Wei
core   +1 more source

A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces

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   +1 more source

A Probabilistic Integral Study of Quasiproduct Overa Nonadditive Measure

open access: yesJournal of Harbin University of Science and Technology, 2021
In this paper, a definition of non additive measure is given, which has F-addability; the Einstein calculater is optimized, and the λ-fuzzy quasiproduct operator and λ-fuzzy quasi sum operator with adjustable parameters for practical problems are ...
ZHAO Hui, ZHANG Xiao-xue, ZHANG Shao-xin
doaj   +1 more source

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