New logarithmic operational laws and their applications to multiattribute decision making for single-valued neutrosophic numbers

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2018 English Publisher:Elsevier BVJournal:Cognitive Systems Research, volume 52, pages 931-946 (issn: 1389-0417,

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Authors: Harish Garg; Nancy;

doi: 10.1016/j.cogsys.2018.09.001 , 10.5281/zenodo.3079659 , 10.5281/zenodo.3079660

New logarithmic operational laws and their applications to multiattribute decision making for single-valued neutrosophic numbers

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Abstract

Neutrosophic set, initiated by Smarandache, is a novel tool to deal with vagueness considering the truth, indeterminacy and falsity memberships satisfying the condition that their sum is less than 3. This set can be used to characterize the information more accurately than the intuitionistic fuzzy set. Under this set, the objective of this manuscript is to present some new operational laws called as logarithm operational laws with real number base k for the single-valued neutrosophic (SVN) numbers. Various desirable properties of the proposed operational laws are contemplated. Further, based on these laws, different weighted averaging and geometric aggregation operators are developed.

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Keywords

Single valued neutrosophic numbers

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