Browsing by Author "Gonce Kocken, H."

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    Book Part
    Fuzzy Complex System of Linear Equations
    (IGI Global, 2022) Temelcan, G.T.; Gonce Kocken, H.; Albayrak, I.
    The complex system of linear equations (CSLE) has a wide range of applications in engineering, optimization, operational research, such as circuit analysis and wave equations in quantum mechanics. Since variables and/or parameters of the CSLE are generally unknown, uncertain, or imprecise in real-life applications, Fuzzy CSLE (FCSLE) arises. The fuzziness enables the modeling of the CSLE in a more natural and direct way, and thus, the FCSLE has attracted the attention of many researchers and become a significant area both in theory and application. With this motivation, a short review of the FCSLE has been conducted to guide the future studies of new researchers in this area. This review will give a general framework about the progression of the area, its solution approaches, and provide a bibliography on the topic. © 2023 by IGI Global. All rights reserved.
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    Conference Object
    A Numerical Method for Integration of a Fuzzy Function Over a Fuzzy Interval
    (Springer Science and Business Media Deutschland GmbH, 2022) Temelcan, G.T.; Gonce Kocken, H.; Albayrak, I.
    A numerical method is presented for evaluating the integration of a fuzzy function (FF) over a fuzzy interval (FI) by combining the integration methods proposed by Zimmerman, which is known as the fuzzy Riemann integral (FRI) of type-II. In this study, monotonic increasing (or nondecreasing) nonnegative continuous FFs are considered for integration. In the proposed method, first, a fuzzy-valued function (FvF) is induced by a real-valued function (RvF) via extension principle and then each component of the triangular fuzzy valued-function, which is a RvF, is determined as a triangular fuzzy number (TFN) by integrating over the FI. The left and right components of fuzzy integral value are determined from the TFNs obtained by taking the minimum of the left components and the maximum of right components, and the middle component is provided using a ranking function. Some numerical examples are given to explain the methodology. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.