Neutrosophic Linguistic Rhotrix in Managerial Decision Making

R. Priya · Nivetha Martin · Florentin Smarandache

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The developments in rhotrix theory and their applications are unveiled at recent times. This research work proposes the notion of linguistic rhotrix conjoining the theories of linguistic matrix and rhotrix. The theory of linguistic rhotrix comprising fundamental definitions, operators and classifications is presented in this study. The algorithmic framework of applying linguistic rhotrix to decisioning problem is presented in this work. A managerial decision-making illustration is putforth to validate the proposed decisioning framework based on neutrosophic quantifications of linguistic rhotrix. The results obtained are compared with fuzzy and intuitionistic fuzzy quantifications to demonstrate the efficacy of neutrosophic quantifications of linguistic variables. The results obtained using neutrosophic quantifications are more optimal and reliable in comparisons with the other two quantifications. The proposed decisioning approach based on neutrosophic linguistic rhotrix is more robust and competent in handling intricate decisioning environment.