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International Journal for Uncertainty Quantification

Impact factor: 1.000

ISSN Print: 2152-5080
ISSN Online: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2017019627
Forthcoming Article

Linguistic neutrosophic sets and its application to multi-criteria decision-making problems

Ying-ying Li
Central South University
Hong-yu Zhang
Central South University
jian-qiang wang
Central South University


Motivated by the reality that people tend to convey their views by linguistic information and the information is always indeterminate, imprecise, incomplete, and inconsistent, this paper introduces the concept of linguistic neutrosophic sets (LNSs) where the truth-membership, falsity-membership and the indeterminacy-membership are represented as linguistic terms, respectively. To compare any two linguistic neutrosophic numbers (LNNs), the expected function, accuracy function and certainty function are defined. Subsequently, the operations for LNNs based on linguistic scale functions are given. Further, two aggregation operators for fusing linguistic neutrosophic information are proposed, including the linguistic neutrosophic geometric Heronian mean (LNGHM) operator and the linguistic neutrosophic prioritized geometric Heronian mean (LNPGHM) operator. The desirable properties of the two new operators are investigated and some special cases are discussed. Moreover, based on the new aggregation operators, two methods are proposed for multi-criteria decision-making (MCDM) problems in which the data interrelationships of the individual data are considered under linguistic environment. A practical example concerning low carbon supplier selection is provided and the influence of different parameters is discussed. Besides, a brief comparison analysis is given between the proposed method and linguistic intuitionistic fuzzy approach to verify the effectiveness and feasibility of the proposed methods.