Einstein Aggregation Operators under Bipolar Neutrosophic Environment with Applications in Multi-Criteria Decision-Making

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dc.authoridAwrejcewicz, Jan/0000-0003-0387-921X
dc.authoridJamil, Muhammad/0000-0001-8210-1400
dc.authoridRiaz, Muhammad Bilal/0000-0001-5153-297X
dc.authoridAFZAL, FARKHANDA/0000-0001-5396-7598
dc.contributor.authorJamil, Muhammad
dc.contributor.authorAfzal, Farkhanda
dc.contributor.authorAkgul, Ali
dc.contributor.authorAbdullah, Saleem
dc.contributor.authorMaqbool, Ayesha
dc.contributor.authorRazzaque, Abdul
dc.contributor.authorRiaz, Muhammad Bilal
dc.date.accessioned2024-12-24T19:33:31Z
dc.date.available2024-12-24T19:33:31Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this article, we introduce bipolar neutrosophic (BN) aggregation operators (AOs) as a revolutionary notion in aggregation operators (AOs) by applying Einstein operations to bipolar neutrosophic aggregation operators (AOs), with its application related to a real-life problem. The neutrosophic set is able to drawout the incomplete, inconsistent and indeterminate information pretty efficiently. Initially, we present essential definitions along with operations correlated to the neutrosophic set (NS) and its generalization, the bipolar neutrosophic set (BNS). The Einstein aggregation operators are our primary targets, such asthe BN Einstein weighted average (BNEWA), BN Einstein ordered weighted average (BNEOWA), BN Einstein hybrid average (BNEHA), BN Einstein weighted geometric (BNEWG), BN Einstein ordered weighted geometric (BNEOWG) and BN Einstein hybrid geometric (BNEHG), as well as their required properties. The most important benefit of using the suggested approaches is that they provide decision-makers with complete sight of the issue. These techniques, when compared to other methods, provide complete, progressive and precise findings. Lastly, by means of diverse types of newly introduced aggregation operators and a numerical illustration by an example, we suggest an innovative method to be used for multi-criteria community decision-making (DM). This illustrates the utility and applicability of this new strategy when facing real-world problems.
dc.identifier.doi10.3390/app121910045
dc.identifier.issn2076-3417
dc.identifier.issue19
dc.identifier.scopus2-s2.0-85139996452
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/app121910045
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8181
dc.identifier.volume12
dc.identifier.wosWOS:000866582100001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofApplied Sciences-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectaggregation operator
dc.subjectdecision-making
dc.subjectBNEWA
dc.subjectBNEOWA
dc.subjectBNEHA
dc.subjectBNEWG
dc.subjectBNEOWG
dc.subjectBNEHG
dc.titleEinstein Aggregation Operators under Bipolar Neutrosophic Environment with Applications in Multi-Criteria Decision-Making
dc.typeArticle

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