Results 1 to 10 of about 32,151 (273)

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   +17 more sources

Novel versions of Hölder's-Like and related inequalities with newly defined LP space, and their applications over fuzzy domain [PDF]

open access: yesHeliyon
It is widely recognized that fuzzy number theory relies on the characteristic function. However, within the fuzzy realm, the characteristic function transforms into a membership function contingent upon the interval [0,1].
Xiangting Shi   +4 more
doaj   +2 more sources

Generalizations of Related Fritz Carlson Type Inequalities for Fuzzy Integrals [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
In this paper, We review general related inequalities to Carlson-type inequalities for the Sugeno integral on an abstract fuzzy measure space $(X,\Sigma)$. Some examples are given to illustrate the validity of main results.
Bayaz Daraby
doaj   +3 more sources

Study on Some Integral Inequalities for Pseudo-Integrals [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
In this paper, we express and prove  Stolarsky, Feng Qi and Markov type inequalities for two classes of pseudo-integrals. One of them concerning the pseudo-integrals based on a function reduces on the g-integral where pseudo-operations are defined by a ...
Bayaz Daraby
doaj   +1 more source

A Version of Favard's Inequality for the Sugeno Integral [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
In this paper, we  present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,Sigma,mu)$, where $mu$ is the Lebesgue measure. We consider two cases, when our function is concave and
Bayaz Daraby   +2 more
doaj   +1 more source

Some New Classes of Preinvex Fuzzy-Interval-Valued Functions and Inequalities

open access: yesInternational Journal of Computational Intelligence Systems, 2021
It is well known that convexity and nonconvexity develop a strong relationship with different types of integral inequalities. Due to the importance of the concept of nonconvexity and integral inequality, in this paper, we present some new classes of ...
Muhammad Bilal Khan   +3 more
doaj   +1 more source

Generalized Harmonically Convex Fuzzy-Number-Valued Mappings and Fuzzy Riemann–Liouville Fractional Integral Inequalities

open access: yesMathematics, 2023
We propose the concept of up and down harmonically convex mapping for fuzzy-number-valued mapping as our main goal in this work. With the help of up and down harmonically fuzzy-number convexity and the fuzzy fractional integral operator, we also show the
Muhammad Bilal Khan   +4 more
doaj   +1 more source

Improved Extended Dissipativity Results for T-S Fuzzy Generalized Neural Networks With Mixed Interval Time-Varying Delays

open access: yesIEEE Access, 2022
The asymptotic stability and extended dissipativity performance of T-S fuzzy generalized neural networks (GNNs) with mixed interval time-varying delays are investigated in this paper.
Sunisa Luemsai, Thongchai Botmart
doaj   +1 more source

Generalizations of Some Inequalities for Sugino Integrals [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
In this paper, we express and prove Bushell-Okrasiaski, Hardy and Minkowski type inequalities for two classes of pseudo-integrals. One of them, classes with pseudo-integrals where pseudo-operations are defined via a monotone and continuous generator ...
Bayaz Daraby
doaj   +1 more source

Stability and Stabilization Condition for T-S Fuzzy Systems with Time-Delay under Imperfect Premise Matching via an Integral Inequality

open access: yesInternational Journal of Computational Intelligence Systems, 2020
This paper focuses on the stability and stabilization analysis for the T-S fuzzy systems with time-delay under imperfect premise matching, in which the number of fuzzy rules and membership functions employed for the fuzzy model and fuzzy controller are ...
Zejian Zhang, Dawei Wang, Xiao-Zhi Gao
doaj   +1 more source

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