Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets

By Huchang Liao, Zeshui Xu, Xiao-Jun Zeng, José M. Merigó. Knowledge-Based Systems, 2015

402 citations recorded by the source corpus.

The hesitant fuzzy linguistic term set (HFLTS) is a new and flexible tool in representing hesitant qualitative information in decision making. Correlation measures and correlation coefficients have been applied widely in many research domains and practical fields. This paper focuses on the correlation measures and correlation coefficients of HFLTSs. To start the investigation, the definition of HFLTS is improved and the concept of hesitant fuzzy linguistic element (HFLE) is introduced. Motivated by the idea of traditional correlation coefficients of fuzzy sets, intuitionistic fuzzy sets and hesitant fuzzy sets, several different types of correlation coefficients for HFLTSs are proposed. The prominent properties of these correlation coefficients are then investigated. In addition, considering that different HFLEs may have different weights, the weighted correlation coefficients and ordered weighted correlation coefficients are further investigated. Finally, an application example concerning the traditional Chinese medical diagnosis is given to illustrate the applicability and validation of the proposed correlation coefficients of HFLTSs in the process of qualitative decision making.

Subfields: Computational Theory and Mathematics, Management, Monitoring, Policy and Law, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/b9ef4d6530d7638ba921c23cba77d9172948af5d

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In Computational Theory and Mathematics

In Management, Monitoring, Policy and Law

In Management Science and Operations Research

Citations in the corpus

Probabilistic Linguistic MULTIMOORA: A Multicriteria Decision Making Method Based on the Probabilistic Linguistic Expectation Function and the Improved Borda Rule (2018, background): “[12] gave the mathematical form of the HFLTS on S as HS = {< xi, hS (xi) > |xi ∈ X}, where the hesitant fuzzy linguistic element (HFLE) hS (xi) = {sφl (xi)|sφl (xi) ∈ S, l = 1, .”