Parameter Estimation of Fuzzy Linear Regression Utilizing Fuzzy Arithmetic and Fuzzy Inverse Matrix

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dc.contributor.authorBaşaran, Murat Alper
dc.contributor.authorSimonetti, Biagio
dc.date.accessioned2026-01-24T12:20:49Z
dc.date.available2026-01-24T12:20:49Z
dc.date.issued2021
dc.departmentAlanya Alaaddin Keykubat Üniversitesi
dc.description.abstractThe parameter estimation methods of fuzzy linear regression available in the literature have adapted several techniques ranging from mathematical programming to fuzzy least squares which is based on distance notion. Therefore, the literature is vast. However, researchers still try to look for a method that is expected to have estimated spreads as small as possible and good predictions. Each parameter estimation method proposed in the literature has treated fuzzy numbers based on how it implements the data. Namely, the proposed methods somehow restrict the usage of the fuzzy data. In this chapter, a novel method consisting of new notions and calculation procedures is proposed in order to find the parameter estimates of fuzzy linear regression. © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.
dc.identifier.doi10.1007/978-3-030-61334-1_21
dc.identifier.endpage431
dc.identifier.isbn9783540880844
dc.identifier.isbn3540268995
dc.identifier.isbn9783642156052
dc.identifier.isbn9783540343561
dc.identifier.isbn9783540374190
dc.identifier.isbn9783540894834
dc.identifier.isbn9783540253792
dc.identifier.isbn9783642147548
dc.identifier.isbn9783642120510
dc.identifier.isbn3540388834
dc.identifier.issn1434-9922
dc.identifier.scopus2-s2.0-85101094230
dc.identifier.scopusqualityQ3
dc.identifier.startpage421
dc.identifier.urihttps://doi.org/10.1007/978-3-030-61334-1_21
dc.identifier.urihttps://hdl.handle.net/20.500.12868/4582
dc.identifier.volume404
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Science and Business Media Deutschland GmbH
dc.relation.ispartofStudies in Fuzziness and Soft Computing
dc.relation.publicationcategoryKitap Bölümü - Uluslararası
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260121
dc.subjectFuzzy arithmetic
dc.subjectFuzzy identity matrix
dc.subjectFuzzy inverse matrix
dc.subjectFuzzy one number
dc.subjectFuzzy zero number
dc.subjectParameter estimation in fuzzy regression
dc.titleParameter Estimation of Fuzzy Linear Regression Utilizing Fuzzy Arithmetic and Fuzzy Inverse Matrix
dc.typeBook Chapter

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