Aggregate, Arithmetic, and Geometric Operators of Octagonal Neutrosophic Numbers and Its Application in Multi-Criteria Decision-Making Problems

Muhammad Saqlain (), Muhammad Saeed (), Rana Muhammad Zulqarnain () and Ali Hamza ()
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Muhammad Saqlain: Lahore Garrison University, DHA Phase-VI, Sector C
Muhammad Saeed: University of Management and Technology
Rana Muhammad Zulqarnain: School of Mathematics, Northwest University Xi’an
Ali Hamza: Lahore Garrison University

A chapter in Neutrosophic Operational Research, 2021, pp 493-518 from Springer

Abstract: Abstract The validity and soundness of any theory cannot be proved without the fundamentals. The theory of octagonal neutrosophic numbers (ONNs) was proposed by Saqlain, Hamza, & Farooq ( , International Journal of Neutrosophic Science 3:29-43, 2020a). The aim of this paper is to propose the mathematical operators, like sum, difference, product, power rules, and relations—secondly, to propose the weighted arithmetic averaging operator and weighted geometric averaging operator. Furthermore, the application of the proposed methods in decision-making is illustrated in detail. Finally, the present work concludes with the future directions, where decision-making can be done.

Keywords: MCDM; Uncertainty; Neutrosophic set; Aggregate operators; Octagonal neutrosophic numbers (ONNs) (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-57197-9_23

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DOI: 10.1007/978-3-030-57197-9_23

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