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Multiple Criteria Decision Making Approach with Multivalued Neutrosophic Linguistic Normalized Weighted Bonferroni Mean Hamacher Operator
Joint Authors
Li, Bao-lin
Wang, Juan-ru
Yang, Li-hua
Li, Xue-tao
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-18
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
The neutrosophic set and linguistic term set are widely applied in recent years.
Motivated by the advantages of them, we combine the multivalued neutrosophic set and linguistic set and define the concept of the multivalued neutrosophic linguistic set (MVNLS).
Furthermore, Hamacher operation is an extension of the algebraic and Einstein operation.
Additionally, the normalized weighted Bonferroni mean (NWBM) operator can consider the weight of each argument and capture the interrelationship of different arguments.
Therefore, the combination of NWBM operator and Hamacher operation is more valuable and agile.
Firstly, MVNLS and multivalued neutrosophic linguistic number (MVNLN) are defined, then some new operational rules of MVNLNs on account of Hamacher operations are developed, and the comparison functions for MVNLNs are given.
Secondly, multivalued neutrosophic linguistic normalized weighted Bonferroni mean Hamacher operator (MVNLNWBMH) is proposed, and a number of expected characteristics of new operator are investigated.
Meanwhile, some special cases of different parameters p,q, and ε are analyzed.
Thirdly, the approach utilizing the MVNLNWBMH operator is introduced to manage multiple criteria decision making (MCDM) issue in multivalued neutrosophic linguistic environment.
Ultimately, a practical example is presented and a comparative analysis is carried out, which validate the effectiveness and generalization of the novel approach.
American Psychological Association (APA)
Li, Bao-lin& Wang, Juan-ru& Yang, Li-hua& Li, Xue-tao. 2018. Multiple Criteria Decision Making Approach with Multivalued Neutrosophic Linguistic Normalized Weighted Bonferroni Mean Hamacher Operator. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-23.
https://search.emarefa.net/detail/BIM-1206231
Modern Language Association (MLA)
Li, Bao-lin…[et al.]. Multiple Criteria Decision Making Approach with Multivalued Neutrosophic Linguistic Normalized Weighted Bonferroni Mean Hamacher Operator. Mathematical Problems in Engineering No. 2018 (2018), pp.1-23.
https://search.emarefa.net/detail/BIM-1206231
American Medical Association (AMA)
Li, Bao-lin& Wang, Juan-ru& Yang, Li-hua& Li, Xue-tao. Multiple Criteria Decision Making Approach with Multivalued Neutrosophic Linguistic Normalized Weighted Bonferroni Mean Hamacher Operator. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-23.
https://search.emarefa.net/detail/BIM-1206231
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1206231