On fuzzy solutions of the nonsquare fully fuzzy linear equation system with arbitrary triangular fuzzy numbers

Albayrak, Inci

doi:10.3233/jifs-17774

Cited by 4 publications

(1 citation statement)

References 29 publications

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“…Mosleh and Otadi (2015) and Guo et al (2018) discussed the concept of the fuzzy inverse matrix for LR-type arbitrary fuzzy solutions. Strong arbitrary solutions were covered in (Ahlatcioglu et al, 2016;Kocken et al, 2016;Albayrak, 2017) for square and non-square systems with triangular and trapezoidal coefficients, using mixed integer programming. Both trapezoidal and hexagonal coefficients were taken into account in (Ziqan et al, 2022).…”

Section: Introductionmentioning

confidence: 99%

Tam Bulanık Lineer Denklem Sistemleri için Bulanık Sayısal Simülasyon Tabanlı Sezgisel Bir Yöntem

GÜNAY AKDEMİR

2023

Karadeniz Fen Bilimleri Dergisi

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In this paper, a new method is proposed to find the approximate solutions to fully fuzzy systems of linear equations (FFSLEs). The technique integrates a bisection method with Fuzzy Numerical Simulation (FNS). The procedure starts with generating single values of fuzzy parameters and solving the resulting crisp problems repeatedly to determine the lower and upper bounds of the solutions. After computing the mean lower and upper bound values, the obtained supremum and infimum values are considered to be the lower and upper bounds of the solutions, respectively. It is attempted to improve solutions by considering an error function related to the sum of the absolute differences between the corresponding lower and upper bounds of the left and right sides of the equalities. When very large intervals are obtained for the solutions, the bisection algorithm is applied to reduce the error value. The method intends to solve square systems of large dimensions for arbitrary fuzzy numbers (FNs) by removing non-negativity confinements of the variables and/or coefficients to be more realistic. After the computational method is presented thoroughly, some benchmark examples are finally provided.

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Section: Introductionmentioning

confidence: 99%

Tam Bulanık Lineer Denklem Sistemleri için Bulanık Sayısal Simülasyon Tabanlı Sezgisel Bir Yöntem

GÜNAY AKDEMİR

2023

Karadeniz Fen Bilimleri Dergisi

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Future Different-Layer Linear Equation and Bounded Inequality Solved by Combining Adams–Bashforth Methods With CZNN Model

Qiu

Zhang

2021

IEEE Trans. Ind. Electron.

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FL-SDUAN: A Fuzzy Logic-Based Routing Scheme for Software-Defined Underwater Acoustic Networks

Wang

Feng

et al. 2023

Applied Sciences

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In underwater acoustic networks, the accurate estimation of routing weights is NP-hard due to the time-varying environment. Fuzzy logic is a powerful tool for dealing with vague problems. Software-defined networking (SDN) is a promising technology that enables flexible management by decoupling the data plane from the control plane. Inspired by this, we proposed a fuzzy logic-based software-defined routing scheme for underwater acoustic networks (FL-SDUAN). Specifically, we designed a software-defined underwater acoustic network architecture. Based on fuzzy path optimization (FPO-MST) and fuzzy cut-set optimization (FCO-MST), two minimum spanning tree algorithms under different network scales were proposed. In addition, we compared the proposed algorithms to state-of-the-art methods regarding packet delivery rate, end-to-end latency, and throughput in different underwater acoustic network scenarios. Extensive experiments demonstrated that a trade-off between performance and complexity was achieved in our work.

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On fuzzy solutions of the nonsquare fully fuzzy linear equation system with arbitrary triangular fuzzy numbers

Cited by 4 publications

References 29 publications

Tam Bulanık Lineer Denklem Sistemleri için Bulanık Sayısal Simülasyon Tabanlı Sezgisel Bir Yöntem

Tam Bulanık Lineer Denklem Sistemleri için Bulanık Sayısal Simülasyon Tabanlı Sezgisel Bir Yöntem

Future Different-Layer Linear Equation and Bounded Inequality Solved by Combining Adams–Bashforth Methods With CZNN Model

FL-SDUAN: A Fuzzy Logic-Based Routing Scheme for Software-Defined Underwater Acoustic Networks

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