Heronian mean operators of linguistic neutrosophic multisets and their multiple attribute decision-making methods

A valid aggregation operator can reflect the decision result more clearly and make the decision effect more correctly. In this article, a linguistic neutrosophic multiset is first proposed to handle the multiplicity information, which is an expanding of neutrosophic multiset. Two Heronian mean opera...

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Main Authors: Changxing Fan, Keli Hu, Sheng Feng, Jun Ye, En Fan
Format: Article
Language:English
Published: Wiley 2019-04-01
Series:International Journal of Distributed Sensor Networks
Online Access:https://doi.org/10.1177/1550147719843059
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author Changxing Fan
Keli Hu
Sheng Feng
Jun Ye
En Fan
author_facet Changxing Fan
Keli Hu
Sheng Feng
Jun Ye
En Fan
author_sort Changxing Fan
collection DOAJ
description A valid aggregation operator can reflect the decision result more clearly and make the decision effect more correctly. In this article, a linguistic neutrosophic multiset is first proposed to handle the multiplicity information, which is an expanding of neutrosophic multiset. Two Heronian mean operators are proposed to aggregate the linguistic neutrosophic multiset, one is a linguistic neutrosophic multiplicity number generalized-weighted Heronian mean operator, the other is a linguistic neutrosophic multiplicity number improved-generalized-weighted Heronian mean operator, and then their properties are discussed. Furthermore, two decision-making methods are introduced based on linguistic neutrosophic multiplicity number generalized-weighted Heronian mean or linguistic neutrosophic multiplicity number improved-generalized-weighted Heronian mean operators under linguistic neutrosophic multiplicity number environment. Finally, an illustrative example is used to indicate the practicality and validity of these two methods.
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institution Kabale University
issn 1550-1477
language English
publishDate 2019-04-01
publisher Wiley
record_format Article
series International Journal of Distributed Sensor Networks
spelling doaj-art-63a35886ec2f46c9ad96e532575e7ff72025-02-03T06:43:00ZengWileyInternational Journal of Distributed Sensor Networks1550-14772019-04-011510.1177/1550147719843059Heronian mean operators of linguistic neutrosophic multisets and their multiple attribute decision-making methodsChangxing Fan0Keli Hu1Sheng Feng2Jun Ye3En Fan4Department of Computer Science, Shaoxing University, Shaoxing, ChinaDepartment of Computer Science, Shaoxing University, Shaoxing, ChinaDepartment of Computer Science, Shaoxing University, Shaoxing, ChinaDepartment of Electrical and Information Engineering, Shaoxing University, Shaoxing, ChinaDepartment of Computer Science, Shaoxing University, Shaoxing, ChinaA valid aggregation operator can reflect the decision result more clearly and make the decision effect more correctly. In this article, a linguistic neutrosophic multiset is first proposed to handle the multiplicity information, which is an expanding of neutrosophic multiset. Two Heronian mean operators are proposed to aggregate the linguistic neutrosophic multiset, one is a linguistic neutrosophic multiplicity number generalized-weighted Heronian mean operator, the other is a linguistic neutrosophic multiplicity number improved-generalized-weighted Heronian mean operator, and then their properties are discussed. Furthermore, two decision-making methods are introduced based on linguistic neutrosophic multiplicity number generalized-weighted Heronian mean or linguistic neutrosophic multiplicity number improved-generalized-weighted Heronian mean operators under linguistic neutrosophic multiplicity number environment. Finally, an illustrative example is used to indicate the practicality and validity of these two methods.https://doi.org/10.1177/1550147719843059
spellingShingle Changxing Fan
Keli Hu
Sheng Feng
Jun Ye
En Fan
Heronian mean operators of linguistic neutrosophic multisets and their multiple attribute decision-making methods
International Journal of Distributed Sensor Networks
title Heronian mean operators of linguistic neutrosophic multisets and their multiple attribute decision-making methods
title_full Heronian mean operators of linguistic neutrosophic multisets and their multiple attribute decision-making methods
title_fullStr Heronian mean operators of linguistic neutrosophic multisets and their multiple attribute decision-making methods
title_full_unstemmed Heronian mean operators of linguistic neutrosophic multisets and their multiple attribute decision-making methods
title_short Heronian mean operators of linguistic neutrosophic multisets and their multiple attribute decision-making methods
title_sort heronian mean operators of linguistic neutrosophic multisets and their multiple attribute decision making methods
url https://doi.org/10.1177/1550147719843059
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