Abstract
Background: Owing to Linguistic Neutrosophic Numbers (LNNs) depicted independently
by the truth, indeterminacy, and falsity linguistic variables, they fit in with human thinking and
expressing habits to judgments of complicated objects, such as medical diagnosis and Medical
Treatment Options (MTOs) for patients in clinical medicine. Unfortunately, existing linguistic neutrosophic
Decision Making (DM) approaches have not been applied in medical DM problems so far.
Objective: Then, the LNN multicriteria group DM method especially suits medical DM problems
with LNN information since medical DM problems commonly imply inconsistent, incomplete, and
indeterminate linguistic information due to the medical DM complexity.
Methods: Therefore, this study proposes two correlation coefficients of linguistic neutrosophic sets
(LNSs) and their multicriteria group DM method to deal with the DM problem of MTOs as a new
complementary in linguistic medical DM problems. Then, an actual example regarding the DM
problem of MTOs is provided to illustrate the applicability of the developed group DM method.
Result: By comparative analysis with existing relative methods in LNN setting, the best MTO for
the patient with verruca plantaris is feasible.
Conclusion: The developed DM method is effective in the DM problem of MTOs with LNN information
and provides a new way for linguistic medical DM problems.
Keywords:
Linguistic neutrosophic number, linguistic neutrosophic set, correlation coefficient, multicriteria group decision
making, linguistic decision making, medical treatment option.
Graphical Abstract
[1]
F. Smarandache, Neutrosophy: Neutrosophic probability, set, and logic., American Research Press: Rehoboth, USA, 1998.
[3]
S. Broumi, A. Bakali, M. Talea, F. Smarandache, K.P. Krishnan Kishore, and R. Şahin, "Shortest path problem under interval valued neutrosophic setting", Int. J. Adv. Trends Comp. Sci. Eng., vol. 8, no. 1, pp. 216-222, 2019.
[4]
S. Broumi, A. Dey, M. Talea, A. Bakali, F. Smarandache, D. Nagarajan, M. Lathamaheswari, and R. Kumar, Shortest path problem using Bellman algorithm under neutrosophic environment., Complex & Intelligent Systems, 2019, pp. 1-8.
[5]
S. Broumi, M. Talea, A. Bakali, P.K. Singh, and F. Smarandache, "Energy and spectrum analysis of interval valued neutrosophic graph using MATLAB", Neutrosophic Sets and Systems, vol. 24, pp. 46-60, 2019.
[16]
Z.S. Xu, "Induced uncertain linguistic OWA operators applied to group decision making", Inf. Sci., vol. 7, pp. 231-238, 2006.
[22]
K. Mondal, S. Pramanik, and B.C. Giri, Multi-criteria group decision making based on linguistic refined neutrosophic strategy.New trends in neutrosophic theory and applications., , vol. Vol. 2. Pons Editions: Brussels, 2018, pp. 125-139.
[24]
F. Smarandache, Neutrosophy: Neutrosophic probability, set, and logic., American Research Press: Rehoboth, USA, 1998.
[25]
L.L. Shi, and J. Ye, "Cosine measures of linguistic neutrosophic numbers and their application in multiple attribute group decision-making", Information, vol. 8, p. 117, 2017.
[28]
Y.F. Zhu, W.H. Cui, and J. Ye, "New correlation coefficients between linguistic neutrosophic numbers and their group decision making method", J. New Theory, vol. 28, pp. 74-83, 2019.