Results 21 to 30 of about 13,635 (297)

Choquet Integral of Fuzzy-Number-Valued Functions: The Differentiability of the Primitive with respect to Fuzzy Measures and Choquet Integral Equations

open access: yesAbstract and Applied Analysis, 2014
This paper deals with the Choquet integral of fuzzy-number-valued functions based on the nonnegative real line. We firstly give the definitions and the characterizations of the Choquet integrals of interval-valued functions and fuzzy-number-valued ...
Zengtai Gong, Li Chen, Gang Duan
doaj   +1 more source

On Lr-norm-based derivatives and fuzzy Henstock-Kurzweil integrals with an application

open access: yesAlexandria Engineering Journal, 2023
The fundamental theorem of calculus not only plays an important role in the study of differential equation theory, but also in many practical problems solving.
Yabin Shao, Yubing Li, Zengtai Gong
doaj   +1 more source

A new approach to the bipolar Shilkret integral [PDF]

open access: yesMathematics and Computational Sciences, 2022
: Capacity, also known as a non-additive measure, is an extension of the Lebesgue measure. In recent years, bi-capacity was presented as a generalization of capacity with several bipolar fuzzy integrals related to bi-capacity, one of them being the ...
Jabbar Ghafil
doaj   +1 more source

An equivalent condition to the Jensen inequality for the generalized Sugeno integral. [PDF]

open access: yes, 2017
For the classical Jensen inequality of convex functions, i.e., [Formula: see text] an equivalent condition is proved in the framework of the generalized Sugeno integral.
Abbaszadeh, Sadegh   +3 more
core   +3 more sources

Sitaru-Schweitzer Type Inequality for Fuzzy and Pseudo-Integrals [PDF]

open access: yesSahand Communications in Mathematical Analysis
In this paper, we have proved and stated the Sitaru-Schweitzer type inequality for fuzzy integrals and  also we state this inequality for pseudo-integrals in two classes.
Bayaz Daraby   +2 more
doaj   +1 more source

Harmonically Convex Fuzzy-Interval-Valued Functions and Fuzzy-Interval Riemann–Liouville Fractional Integral Inequalities

open access: yesInternational Journal of Computational Intelligence Systems, 2021
It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana   +4 more
doaj   +1 more source

Large-small dualities between periodic collapsing/expanding branes and brane funnels [PDF]

open access: yes, 2005
We consider space and time dependent fuzzy spheres $S^{2p}$ arising in $D1-D(2p+1)$ intersections in IIB string theory and collapsing D(2p)-branes in IIA string theory.
Baker   +33 more
core   +3 more sources

Integration on fuzzy sets

open access: yesAdvances in Applied Mathematics, 1982
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Puri, Madan L., Ralescu, Dan A.
openaire   +2 more sources

Genetic Algorithm Optimization for Determining Fuzzy Measures from Fuzzy Data

open access: yesJournal of Applied Mathematics, 2013
Fuzzy measures and fuzzy integrals have been successfully used in many real applications. How to determine fuzzy measures is a very difficult problem in these applications.
Chen Li, Gong Zeng-tai, Duan Gang
doaj   +1 more source

Fractional variational problems and particle in cell gyrokinetic simulations with fuzzy logic approach for tokamaks [PDF]

open access: yesNuclear Technology and Radiation Protection, 2009
In earlier Rastovic's papers [1] and [2], the effort was given to analyze the stochastic control of tokamaks. In this paper, the deterministic control of tokamak turbulence is investigated via fractional variational calculus, particle in cell simulations,
Rastović Danilo
doaj   +1 more source

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