Results 1 to 10 of about 76 (59)
Mathematics, 2023 The topic of convex and nonconvex mapping has many applications in engineering and applied mathematics. The Aumann and fuzzy Aumann integrals are the most significant interval and fuzzy operators that allow the classical theory of integrals to be ...
Muhammad Bilal Khan +4 more
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Aumann Fuzzy Improper Integral and Its Application to Solve Fuzzy Integro‐Differential Equations by Laplace Transform Method [PDF]
Advances in Fuzzy Systems, Volume 2018, Issue 1, 2018., 2018 We introduce the Aumann fuzzy improper integral to define the convolution product of a fuzzy mapping and a crisp function in this paper. The Laplace convolution formula is proved in this case and used to solve fuzzy integro‐differential equations with kernel of convolution type.
Elhassan Eljaoui +3 more
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Mathematics, 2023 Convex bodies are naturally symmetrical. There is also a correlation between the two variables of symmetry and convexity. Their use, in either case, has been feasible in recent years because of their interchangeable and similar properties.
Muhammad Bilal Khan +4 more
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MANAS: Journal of Engineering, 2018 In this paper we have frstly defned a metric in intuitionistic fuzzy environment and studied its properties.Then we have proved that the metric spaceof fuzzy number valued functions is complete under this metric.
Ömer Akın, Selami Bayeğ
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AxiomsThe relationship between convexity and symmetry is widely recognized. In fuzzy theory, both concepts exhibit similar behavior. It is crucial to remember that real and interval-valued mappings are special instances of fuzzy-number-valued mappings (F-N-V ...
Ali Althobaiti +2 more
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Decomposition Integrals of Set-Valued Functions Based on Fuzzy Measures
Mathematics, 2023 The decomposition integrals of set-valued functions with regards to fuzzy measures are introduced in a natural way. These integrals are an extension of the decomposition integral for real-valued functions and include several types of set-valued integrals,
Leifan Yan, Tong Kang, Huai Zhang
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IET Generation, Transmission &Distribution, Volume 16, Issue 24, Page 5052-5068, December 2022., 2022 Abstract Renewable energy and energy storage are essential technologies for decarbonizing energy systems. Expansion planning of the two technologies considering source‐side carbon responsibility has been well studied. However, expansion planning considering both source‐side and load‐side carbon responsibility, which may simultaneously stimulate the ...
Junpei Nan +5 more
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Enhanced Salp Swarm Algorithm for Optimizing the Shape of Developable Bézier‐Like Surfaces
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 The shape optimization of developable surfaces is a key and difficult technology in CAD/CAM. This paper studies the shape optimization of generalized developable Bézier‐like surfaces using the improved salp swarm algorithm. First, aiming at the problems of slow convergence speed and low calculation accuracy, quickly falling into the optimal local ...
Jing Lu +4 more
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Inner Product Fuzzy Quasilinear Spaces and Some Fuzzy Sequence Spaces
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 It has been shown that the class of fuzzy sets has a quasilinear space structure. In addition, various norms are defined on this class, and it is given that the class of fuzzy sets is a normed quasilinear space with these norms. In this study, we first developed the algebraic structure of the class of fuzzy sets F(ℝn) and gave definitions such as ...
Yılmaz Yılmaz +4 more
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Fractional Brownian Motion for a System of Fuzzy Fractional Stochastic Differential Equation
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 We study fractional Brownian motion– (FBM–) driven fuzzy stochastic fractional evolution equations. These equations can be used to model fuzziness, long‐range dependence, and unpredictability in hybrid real‐world systems. Under various assumptions regarding the coefficients, we investigate the existence‐uniqueness of the solution using an approximation
Kinda Abuasbeh, Ramsha Shafqat, Heng Liu
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