Heronian mean operators of linguistic neutrosophic multisets and their multiple attribute decision-making methods. (April 2019)

• Record Type: Journal Article
• Authors: Fan, Changxing; Hu, Keli; Feng, Sheng; Ye, Jun; Fan, En
• Is Part Of: International journal of distributed sensor networks. Volume 15:Number 4(2019)
• Publication Date: 2019-04
• Subjects: Neutrosophic multiset -- linguistic neutrosophic multiset -- linguistic neutrosophic multiplicity number -- linguistic neutrosophic multiplicity number generalized-weighted Heronian mean operator -- linguistic neutrosophic multiplicity number improved-generalized-weighted Heronian mean operator -- multi attributes decision-making; Sensor networks -- Periodicals; Intelligent agents (Computer software) -- Periodicals; Multisensor data fusion -- Periodicals; 681.2
• DOI: 10.1177/1550147719843059
• Languages: English
• ISSNs: 1550-1329

Abstract

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.