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Novel operations of PLTSs based on the disparity degrees of linguistic terms and their use in designing the probabilistic linguistic ELECTRE III method
Journal article   Peer reviewed

Novel operations of PLTSs based on the disparity degrees of linguistic terms and their use in designing the probabilistic linguistic ELECTRE III method

Huchang Liao, Lisheng Jiang, Benjamin Lev and Hamido Fujita
Applied soft computing, v 80, pp 450-464
Jul 2019
DOI: https://doi.org/10.1016/j.asoc.2019.04.018

Abstract

Distillation process ELECTRE III Multiple criteria analysis Nurse–patient relationship Probabilistic linguistic term set
The probabilistic linguistic term set (PLTS), which allows people to give their qualitative preferences in linguistic terms with corresponding probabilities, is a powerful form to express people’s preferences. This paper proposes a new ELECTRE III method to address multiple criteria decision-making (MCDM) problems based on novel operations of PLTSs. The new operations, including the addition, subtraction, and division of PLTSs are developed by considering the disparity degrees of linguistic terms. Then, novel concepts named the standard vector and gap function of PLTSs are introduced to represent the errors caused by the cognition differences of assessors. After transforming cost and target-based criteria to beneficial criteria, we define the concordance index, discordance index and outstanding degrees in PLTSs. The distillation process and Borda rule are used to obtain the final ranking of alternatives. After giving the algorithm of the probabilistic linguistic ELECTRE III (PL-ELECTRE III) method, we implement it to solve a problem concerning the nurse–patient relationship with the modified Okatani Keyco nurse–patient relationship trust scale. Comparisons between our method and other two methods are provided to demonstrate the advantages of the PL-ELECTRE III method. •We introduced the addition, subtraction and division operations for PLTSs.•We proposed new method to transform all criteria to beneficial ones.•The distillation process and the Borda rule were used to get the final ranking.•We developed a procedure of the PL-ELECTRE III method.•We solved the nurse–patient relationship problem with the PL-ELECTRE III method.

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134 citations in Web of Science
136 citations in Scopus

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Domestic collaboration
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Web of Science research areas
Computer Science, Artificial Intelligence
Computer Science, Interdisciplinary Applications
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