A fully Fermatean fuzzy multi-objective transportation model using an extended DEA technique

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dc.authoridAkram, Muhammad/0000-0001-7217-7962
dc.authoridAllahviranloo, Tofigh/0000-0002-6673-3560
dc.authorwosidAkram, Muhammad/N-3369-2014
dc.authorwosidAllahviranloo, Tofigh/V-4843-2019
dc.contributor.authorAkram, Muhammad
dc.contributor.authorShahzadi, Sundas
dc.contributor.authorShah, Syed Muhammad Umer
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2024-05-19T14:45:53Z
dc.date.available2024-05-19T14:45:53Z
dc.date.issued2023
dc.departmentİstinye Üniversitesien_US
dc.description.abstractA mathematical technique called data envelope analysis is used to determine the relative efficiency of decision-making units (DMU) with numerous inputs and outputs. Compared to other DMUs, it determines how efficient the DMU is at delivering a specific level of output based on the amount of input it uses. The transportation problem is a linear programming problem for reducing the net transportation cost or maximizing the net transportation profit of moving goods from a number of sources to a number of destinations. In this manuscript, a multi-objective transportation problem is examined in which all the parameters, such as transportation cost, supply, and demand are uncertain with hesitancy and triangular Fermatean fuzzy numbers are used to represent these uncertain parameters. Using Fermatean fuzzy data envelope analysis, a new technique for determining the common set of weights is presented. The fully Fermatean fuzzy multi-objective transportation problem is then solved using a novel data envelopment analysis-based approach. To this end, two different Fermatean fuzzy efficiency scores are derived, first by considering the sources as targets and changing the destinations, and second by considering the destinations as targets and changing the sources. Next, a unique Fermatean fuzzy relative efficiency is determined for each arc by combining these two different Fermatean fuzzy efficiency scores. As a result, a single-objective Fermatean fuzzy transportation problem is constructed, which can be solved using existing techniques. A numerical illustration is provided to support the suggested methodology, and the performance of the proposed method is compared with an existing techniqueen_US
dc.identifier.doi10.1007/s41066-023-00399-6
dc.identifier.endpage1204en_US
dc.identifier.issn2364-4966
dc.identifier.issn2364-4974
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85165257558en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1173en_US
dc.identifier.urihttps://doi.org10.1007/s41066-023-00399-6
dc.identifier.urihttps://hdl.handle.net/20.500.12713/5382
dc.identifier.volume8en_US
dc.identifier.wosWOS:001034272800001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringernatureen_US
dc.relation.ispartofGranular Computingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectMulti-Objective Transportation Problemen_US
dc.subjectFermatean Fuzzy Arithmeticen_US
dc.subjectData Envelopment Analysisen_US
dc.subjectCommon Set Of Weightsen_US
dc.titleA fully Fermatean fuzzy multi-objective transportation model using an extended DEA techniqueen_US
dc.typeReview Articleen_US

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