Results 31 to 40 of about 1,838 (225)

LR-Preinvex Interval-Valued Functions and Riemann–Liouville Fractional Integral Inequalities

open access: yesFractal and Fractional, 2021
Convexity is crucial in obtaining many forms of inequalities. As a result, there is a significant link between convexity and integral inequality.
Muhammad Bilal Khan   +5 more
doaj   +1 more source

Multiple attribute group decision-making based on interval-valued q-rung orthopair uncertain linguistic power Muirhead mean operators and linguistic scale functions.

open access: yesPLoS ONE, 2021
Fuzzy set theory and its extended form have been widely used in multiple-attribute group decision-making (MAGDM) problems, among which the interval-valued q-rung orthopair fuzzy sets (IVq-ROFSs) got a lot of attention for its ability of capturing ...
Yuan Xu, Shifeng Liu, Jun Wang
doaj   +2 more sources

‎Fuzzy Ordinary and Fractional General Sigmoid Function Activated‎ ‎Neural Network Approximation [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2023
Here we research the univariate fuzzy ordinary and fractional quantitative‎ ‎approximation of fuzzy real valued functions on a compact interval by‎ ‎quasi-interpolation general sigmoid activation function relied on fuzzy neural‎ ‎network operators ...
George Anastassiou
doaj   +1 more source

On new fractional integral inequalities for p-convexity within interval-valued functions

open access: yesAdvances in Difference Equations, 2020
This work mainly investigates a class of convex interval-valued functions via the Katugampola fractional integral operator. By considering the p-convexity of the interval-valued functions, we establish some integral inequalities of the Hermite–Hadamard ...
Thabet Abdeljawad   +3 more
doaj   +1 more source

Interval-Valued General Residuated Lattice-Ordered Groupoids and Expanded Triangle Algebras

open access: yesAxioms, 2022
As an extension of interval-valued pseudo t-norms, interval-valued pseudo-overlap functions (IPOFs) play a vital role in solving interval-valued multi-attribute decision making problems.
Xiaohong Zhang, Rong Liang
doaj   +1 more source

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

Significant Study of Fuzzy Fractional Inequalities with Generalized Operators and Applications

open access: yesFractal and Fractional
There are many techniques for the extension and generalization of fractional theories, one of which improves fractional operators by means of their kernels.
Rana Safdar Ali   +4 more
doaj   +1 more source

Fuzzy BCI-subalgebras with interval-valued membership functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
The purpose of this paper is to define the notion of an interval-valued fuzzy BCI-subalgebra (briefly, an i-v fuzzy BCI-subalgebra) of a BCI-algebra. Necessary and sufficient conditions for an i-v fuzzy set to be an i-v fuzzy BCI-subalgebra are stated. A
Sung Min Hong   +3 more
doaj   +1 more source

Cracking the Code: Which Ocular Symptoms Predict Dry Eye Signs? Insights From a Large International Sicca Registry

open access: yesArthritis Care &Research, EarlyView.
Objective The study aimed to identify symptom‐based predictors of dry eye disease (DED) signs in the Sjögren's International Collaborative Clinical Alliance (SICCA) cohort. Methods We performed a retrospective analysis examining 16 ocular symptoms (most graded 0–4) and artificial tear (AT) use (graded 0–3) as predictors of DED signs (abnormal ocular ...
Pragnya R. Donthineni   +7 more
wiley   +1 more source

Some New Properties of Exponential Trigonometric Convex Functions Using up and down Relations over Fuzzy Numbers and Related Inequalities through Fuzzy Fractional Integral Operators Having Exponential Kernels

open access: yesFractal and Fractional, 2023
The concept of convexity is fundamental in order to produce various types of inequalities. Thus, convexity and integral inequality are closely related.
Muhammad Bilal Khan   +3 more
doaj   +1 more source

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