A Hesitant Fuzzy Linguistic Choquet Integral-Based MULTIMOORA Method for Multiple Criteria Decision Making and its Application in Talent Selection

Abstract

In qualitative multiple criteria decision making (MCDM) process, dealing with complex linguistic evaluations and modeling interaction phenomena among criteria are two important issues. The purpose of this study is to introduce two Choquet integral operators for HFLTSs to tackle interactions among criteria and then implement these operators to a well-known MCDM method, namely, the MULTIMOORA (multi-objective optimization by ratio analysis plus the full multiplicative form). Firstly, we introduce new operations for HFLTSs based on some linguistic scale functions. Then, we define two hesitant fuzzy linguistic Choquet integral operators and propose a novel score function for hesitant fuzzy linguistic elements. Afterwards, we improve the HFL-MULTIMOORA method to handle the hesitant fuzzy linguistic MCDM problems in which the criteria are interdependent. Finally, an illustration regarding the human resource development at Sichuan University is shown to verify the applicability and validity of the proposed method.

A Criterion Utility Conversion Technique for Probabilistic Linguistic Multiple Criteria Analysis in Emergency Management

“…For example, the cost would be high when the quality is good. If there are inter-dependencies among criteria, the method with simple weighted average, which is the main operation of the LINMAP method, might cause errors (Liao et al, 2019b).…”

“…The uses of these two methods are not the same. For the weights, the weighted sum is a common way for aggregation, but the interdependencies among criteria might cause errors (Liao et al, 2019b). For the criteria preference ratios, by the inter-dependencies among criteria, the aggregation of evaluations can be done by the utility conversion process.…”

“…In addition, the traditional LINMAP method did not consider the relations between criteria. When criteria have inter-dependencies, the simple weighted average might cause errors (Liao et al, 2019b). The studies of LINMAP method (Li, 2008;Liao et al, 2019a;Lu et al, 2020;Chen, 2019;Haghighiet al, 2019;Kashef et al, 2018;Mehrabadi & Boyaghchi, 2019;Hamidzadeh et al, 2020;Yao, 2019;Zuo et al, 2019) just used the simple weights of criteria, so their results might be inaccurate.…”

An extended hesitant fuzzy set using SWARA-MULTIMOORA approach to adapt online education for the control of the pandemic spread of COVID-19 in higher education institutions

“…As compared to Analytic Hierarchy Process (AHP), Technique for Order of Preference by Similarity to Ideal Solution (TOP-SIS), VIKOR, Preference Ranking Organization METHod for Enrichment of Evaluations (PROMETHEE), Linear Programming Technique for Multidimensional Analysis of Preference (LINMAP) and ELimination Et Choice Translating REality (ELECTRE), the MULTIMOORA framework has more superior stability, easy mathematical expressions, less computation time and strong robustness (Brauers and Zavadskas 2012). Based on the MULTIMOORA approach's advantages, several authors have focused their attention on the developments and applications of the MULTIMOORA framework (Liao et al 2019;Zhang et al 2019).…”

M-generalised q-neutrosophic MULTIMOORA for Decision Making

“…MULTIMOORA under Interval-valued intuitionistic fuzzy sets (IVIF-MULTIMOORA) was analysed by (Zavadskas et al, 2015) to handle the uncertainty in the group decisionmaking processes. Choquet integral operators were proposed by Liao et al (2019) to create the MULTIMOORA modification under the hesitant fuzzy linguistic sets.…”